Managing and Implementing the Data Mining Process Using a Truly Stepwise Approach

Size: px
Start display at page:

Download "Managing and Implementing the Data Mining Process Using a Truly Stepwise Approach"

Transcription

1 Maagig ad Implemetig the Data Miig Process Usig a Truly Stepwise Approach Perttu Laurie (1, Lauri Tuovie (1, Eija Haapalaie (1, Heli Juo (1, Juha Röig (1 ad Dietmar Zettel (2. 1) Itelliget Systems Group, Departmet of Electrical ad Iformatio Egieerig, PO BOX 4500, FIN Uiversity of Oulu, Filad. [email protected]. (2 Fachhochschule Karlsruhe, Istitut für Iovatio ud Trasfer, Moltkestr. 30, Karlsruhe, Germay. [email protected]. Abstract. Data miig cosists of trasformatio of iformatio with a variety of algorithms to discover the uderlyig depedecies. The iformatio is passed through a chai of algorithms ad usually ot stored util it has reached the ed of the chai, which may result i a umber of difficulties. This paper presets a method for better maagemet ad implemetatio of the data miig process ad reports a case study of the method applied to the pre-processig of spot weldig data. The developed approach, called truly stepwise data miig, eables more systematic processig of data. It verifies the correctess of the data, allows easier applicatio of a variety of algorithms to the data, maages the work chai, ad differetiates betwee the data miig tasks. The method is based o storage of the data betwee the mai phases of the data miig process. The differet layers of the storage medium are defied o the basis of the type of algorithms applied to the data. The layers defied i this research cosist of raw data, preprocessed data, features, ad models. I coclusio, we preset a systematic, easy-to-apply method for implemetig ad maagig the work flow of the data miig process. A case study of applyig the method to a resistace spot weldig quality estimatio project is preseted to illustrate the superior performace of the method compared to the curretly used approach. Key words: hierarchical data storage, work flow maagemet, data miig work flow implemetatio. 1. Itroductio Data miig cosists of trasformatio of iformatio with a variety of algorithms to discover the uderlyig depedecies. The iformatio is passed through a chai of algorithms, ad the success of the process is determied by the outcome. The typical phases of a data miig process are: raw data acquisitio, preprocessig, feature extractio, ad modelig. The method of maagig the iteractios betwee these phases has a major impact o the outcome of the project.

2 The traditioal approach of implemetig the data miig process is to combie the algorithms developed for the differet phases ad to ru the data through the chai, as preseted i Figure 1. The emphasis i the approach preseted i Figure 1 is o the algorithms processig the data. The iformatio is expected to flow smoothly through the chai from the begiig to the ed o a sigle ru, ad the algorithms are usually implemeted withi the same applicatio. It is ot uusual that the data aalyst takes care of all the phases, ad ot much attetio is always paid to the (o-stadard) storage format of the data. This may result i a umber of difficulties that detract from the quality of the data miig process. To ame a few, the approach makes it more challegig to apply methods implemeted i a variety of tools to the data, requires comprehesive kowledge from the aalyst, ad results i icoheret storage of the research results ad data. The approach proposed i this study has a differet perspective toward implemetig the data miig process. The emphasis is o a stadard way of storig the data betwee the differet phases of the process. This, i tur, icreases the idepedece betwee the trasformatios ad the data storage. Stadard storage makes it possible for the algorithms to access the data through a stadard iterface, which allows iteractio betwee the data ad the algorithms implemeted i various applicatios supportig the iterface. The approach will be explaied i more detail i the ext chapter, ad after that, the beefits of applyig it will be illustrated with a compariso to the traditioal approach ad a case study. Extesive searches of scietific databases ad the World Wide Web did ot brig to light similar approaches applied to the implemetatio of the data miig process. However, there are studies ad projects o the maagemet of the data miig process. These studies idetify the mai phases of the process i a maer similar to that preseted i Figure 1 ad give a geeral outlie of the steps that should be kept i mid whe realizig the process. Oe of the earliest efforts perhaps the very earliest oe was the CRISP-DM, iitiated i 1996 by three compaies that proceeded to form a cosortium called CRISP-DM (CRoss-Idustry Stadard Process for Data Miig). CRISP-DM is also the ame of the process model created by the cosortium, which was proposed to serve as a stadard referece for all appliers of data miig [1]. The goal of the process model is to offer a represetatio of the phases ad tasks ivolved that is geeric eough to be applicable to ay data miig effort as well as guidelies o how to apply the process model. Although it is difficult to verify a method as geeric beyod all doubt, several studies testify to the usefuless of CRISP-DM as a tool for maagig data miig vetures ([2], [3], [4]). The approach proposed i CRIPS-DM was exteded i RAMSYS [5], which proposed a methodology for performig collaborative data miig work. Other proposals, with may similarities to CRISP-DM, for the data miig process were preseted i [6] ad [7]. Nevertheless, these studies did ot take a stad o what would be a effective implemetatio of the data miig process i practice. This study proposes a effective approach for implemetig the data miig process ad compares it to the traditioal way of implemetig the process, poitig out the obvious advatages of the proposed method.

3 Raw data Data Pre-processig Data Feature extractio Data Modellig Figure 1: The traditioal data miig process. 2. A truly stepwise method for maagig ad implemetig the data miig process This chapter presets a geeral framework for the proposed method ad defies the way i which it ca be applied to the maagemet of the data miig process. The two basic issues that result i a umber of difficulties whe usig the traditioal approach to data miig are: 1) The trasformatios are orgaized i a way that makes them highly depedet o each other, ad 2) all trasformatios are usually calculated at oce. To demostrate these problems ad to preset a idea for a solutio, the followig formalism is used. The data supplied for the aalysis ca be assumed to be stored i a matrix X 0. The result of the aalysis, X, is obtaied whe the th trasformatio (fuctio) f ( X) is applied to the data. The trasformatios are applied step-by-step to the data, but they are calculated all at oce, ad the results are ot stored util the last trasformatio has bee applied. Usig the above otatio, the process ca be defied as the ier fuctios of the supplied data, which leads to: Defiitio: Stepwise data miig process (the traditioal approach). The stepwise data miig process is a chai of ier trasformatios, f 1... f, that process the raw data, X 0, without storig it util the desired data, the output X, has bee obtaied: X = f ( ( f ( f ( )))... ) X0 This poits out clearly the marked depedece betwee the trasformatios ad the fact that all trasformatios are calculated at oce. However, the data is ot depedet o the trasformatios i such a way that all trasformatios would have to be calculated i a sigle ru. The result, X, might equally well be geerated i a truly stepwise applicatio of the trasformatios, which leads to the defiitio of the proposed data miig process.

4 Defiitio: Truly stepwise data miig process. The results, X,..., X 1, of each trasformatio, f 1... f, are stored i a storage medium before applyig the ext trasformatio i the chai to them: 1) 2) X 1 X ) X 2 = = = f f 1 ( X 0 ) ( X ) f 2 1 ( X ). This approach makes the trasformatios less depedet o each other: to be able to calculate the kth trasformatio (k =1,,), oe does ot eed to calculate all the (k-1) trasformatios prior to k, but just to fetch the data, X k 1, stored after the (k- 1)th trasformatio ad to apply the trasformatio k to that. The obvious differece betwee the two processes is that, i the latter, the result of the kth trasformatio is depedet oly o the data, X k 1, while i the former, it is depedet o X 0 ad the trasformatios f... 1 f k 1. The differece betwee these two defiitios, or approaches, might seem small at this stage, but it will be show below how large it actually is. I theory, the result of each trasformatio could be stored i the storage medium (preferably a database). I the cotext of data miig, however, it is more feasible to store the data oly after the mai phases of the trasformatios. The mai phases are the same as those show i Figure 1. Now that the proposed truly stepwise data miig process has bee defied ad the mai phases have bee idetified, the stepwise process preseted i Figure 1 ca be altered to reflect the developmets, as show i Figure 2. The apparet chage is the emphasis o the storage of the data. I Figure 1, the data flowed from oe trasformatio to aother, ad the boxes represeted the trasformatios. I Figure 2, the boxes represet the data stored i the differet layers, ad the trasformatios make the data flow from oe layer to aother. Thus, the two figures have all the same compoets, but the effect of emphasizig the storage of the data is apparet. The otio of the trasformatios carryig the data betwee the storage layers also seems more atural tha the idea that the data is trasmitted betwee the differet trasformatios. A few more commets o the diagram should be made before presetig the compariso of the two approaches. Four storage layers are defied, i.e. the layers of raw data, pre-processed data, features, ad models. Oe more layer could be added to the structure: a layer represetig the best model selected from the pool of available models. O the other had, this is ot ecessary, sice the preseted approach could be applied to the pool of models, treatig the geerated models as raw data. I this case, the layers would defie the required steps for choosig the best model. Aother commet ca be made cocerig the amout ad scope of data stored i the differet layers. As the amout of data grows toward the bottom layers, the scope of data decreases, ad vice versa. I practice, if the storage capabilities of the system are limited ad ulimited amouts of data are available, the stored features may cover a broader rage of data tha pure data could. This is poited out i the figure by the two arrows o the sides. 1

5 Data layer 4: Models The amout of data grows Data layer 3: Features Feature extractio Data layer 2: Pre-processed data Preprocessig Aalysis, modellig The scope of data grows Data layer 1: Raw data Figure 2: The four storage layers of the proposed data miig process. 3. The proposed vs. the traditioal method I this chapter, the various beefits of the truly stepwise approach over the stepwise oe are illustrated. Idepedece betwee the differet phases of the data miig process. I the stepwise approach, the output of a trasformatio is directly depedet o each of the trasformatios applied prior to it. To use a old phrase, the chai is as weak as its weakest lik. I other words, if oe of the trasformatios does ot work properly, oe of the trasformatios followig it ca be assumed to work properly, either, sice each is directly depedet o the output of the previous trasformatios. I the truly stepwise method, a trasformatio is directly depedet oly o the data stored i the layer immediately prior to the trasformatio, ot o the previous trasformatios. The trasformatios prior to a certai trasformatio do ot ecessarily have to work perfectly, it is eough that the data stored i the previous layers is correct. From the viewpoit of the trasformatios, it does ot matter how the data was acquired, e.g. whether it was calculated usig the previous trasformatios or eve iserted maually.

6 The multitude of algorithms easily applicable to the data. I the stepwise procedure, the algorithms must be implemeted i oe way or aother iside the same tool, sice the data flows directly from oe algorithm to aother. I the truly stepwise approach, the umber of algorithms is ot limited to those implemeted i a certai tool, but is proportioal to the umber of tools that implemet a iterface for accessig the storage medium. The most frequetly used iterface is the database iterface for accessig data stored i a database usig SQL. Therefore, if a stadard database is used as a storage medium, the umber of algorithms is limited to the umber of tools implemetig a database iterface which is large. Specializatio ad teamwork of researchers. The differet phases of the data miig process require so much expertise that it is hard to fid people who would be experts i all of them. It is easier to fid a expert specialized i some of the phases or trasformatios. However, i most data miig projects, the researcher must apply or kow details of may, if ot all, of the steps of the data miig chai, to be able to coduct the work. This results i wasted resources, sice it takes some of her / his time away from the area she / he is specialized i. Furthermore, whe a team of data miers is performig a data miig project, it might be that everybody is doig a bit of everythig. This results i cofusio i the project maagemet ad desychroizatio of the tasks. Usig the proposed method, the researchers ca work o the data relevat to their specializatio. Whe a team of data miers are workig o the project, the work ca be aturally divided betwee the workers by allocatig the data stored i the differet layers to suit the expertise ad skills of each perso. Data storage ad o-lie moitorig. The data acquired i the differet phases of the data miig process is stored i a coheret way whe, for example, a stadard database is used to implemet the truly stepwise process. Whe the data ca be accessed through a stadard iterface after the trasformatios, oe ca peek i o the data at ay time durig the process. This ca be coveiet, especially i situatios where the data miig chai is delivered as a fiished implemetatio. Whe usig a database iterface, oe ca eve select the moitorig tools from a set of readily available software. To moitor the differet phases of the stepwise process, it would be ecessary to display the output of the trasformatios i some way, which requires extra work. Time savigs. Whe the data i the differet layers has bee calculated oce i the truly stepwise process, it does ot eed to be re-calculated uless it eeds to be chaged. Whe workig with large data sets, this may result i eormous time savigs. Usig the traditioal method, the trasformatios must be recalculated whe oe wats to access the output of ay phase of the data miig chai, which results i uecessary waste of staff ad CPU time. Now that the umerous beefits of the proposed method have bee preseted, we could ask what the drawbacks of the method are. The obvious reaso for the eed for time is the care ad effort oe has to ivest i defiig the iterface for trasferrig the itermediate data to the storage space. O the other had, if this work is left udoe, oe may have to put twice as much time i tacklig with the flaws i the data miig process. It might also seem that the calculatio of the whole data miig chai usig the stepwise process is faster tha i the truly stepwise process. That is true, but oce the trasformatios i the truly stepwise process are ready ad fiished, the process ca be ru i the stepwise maer. I coclusio, o obvious drawbacks are so far detectable i the truly stepwise process.

7 4. A case study pre-processig spot weldig data This chapter illustrates the beefits of the proposed method i practice. The idea is here applied to a data miig project aalysig the quality of spot weldig joits, ad a detailed compariso to the traditioal approach is made cocerig the amout of work required for acquirig pre-processed data. The spot weldig quality improvemet project (SIOUX) is a two-year EUsposored CRAFT project aimig to create o-destructive quality estimatio methods for a wide rage of spot weldig applicatios. Spot weldig is a weldig techique widely used i, for example, the electrical ad automotive idustries, where more tha 100 millio spot weldig joits are produced daily i the Europea vehicle idustry oly [8]. No-destructive quality estimates ca be calculated based o the shape of the sigal curves measured durig the weldig evet [9], [10]. The method results i savigs i time, material, eviromet, ad salary costs which are the kid of advatages that the Europea maufacturig idustry should have i their competitio agaist outsourcig work to cheaper coutries. The collected data cosists of iformatio regardig the welded materials, the quality of the weldig spot, the settigs of the weldig machie, ad the voltage ad curret sigals measured durig the weldig evet. To demostrate the data, the left pael of Figure 3 displays a typical voltage curve acquired from a weldig spot, ad the right pael shows a resistace curve obtaied by pre-processig the data. Figure 3: The left pael shows a voltage sigal of a weldig spot measured durig a weldig evet. The high variatios ad the flat regios are still apparet i the diagram. The right pael shows the resistace curve after pre-processig. The data trasformatios eeded for pre-processig sigal curves cosist of removal of the flat regios from the sigal curves (weldig machie iactivity), ormalizatio of the curves to a pre-defied iterval, smoothig of the curves usig a filter, ad calculatio of the resistace curve based o the voltage ad curret sigals. The trasformatios are implemeted i software writte specifically for this project, called Tomahawk. The software icorporates all the algorithms required for calculatig the quality estimate of a weldig spot, alog with a database for storig the weldig data. The software ad the database are closely coected, but idepedet. The basic priciples of the system are preseted i Figure 4. The special beauty of Tomahawk lies i the way the algorithms are implemeted as a coected chai. Hece, the product of applyig all the algorithms is the desired output of the data miig process. The algorithms are called plug-is, ad the way

8 the data is trasmitted betwee each pair of plug-is is well defied. Whe the program is executed, the chai of plug-is is executed at oce. This is a implemetatio of the defiitio of the stepwise (traditioal) data miig process. TOMAHAWK Plug-i 1: Trasformatio 1 Plug-i : Trasformatio Weldig data Quality measure Plug-i 2: Trasformatio 2 Plug-i 3: Trasformatio 3 Figure 4: The operatig priciple of the Tomahawk software. The architecture is a realizatio of the stepwise data miig process. Whe the project has bee completed, all the plug-is should be ready ad work for all kids of weldig data as seamlessly as preseted i Figure 4. However, i the productio phase of the system, whe the plug-is are still uder active developmet, three major issues that iterfere with the daily work of the developmet team ca be recogized i the chapter The proposed vs. the traditioal method. Idepedece. It caot be guarateed that all parts of the pre-processig algorithms would work as they should for all the available data. However, the researcher workig o the pre-processed data is depedet o the preprocessig sequece. Because of this, she/he caot be sure that the data is always correctly pre-processed. Specializatio ad teamwork. The expert workig o the pre-processed data might ot have the expertise to correctly pre-process the raw data i the cotext of Tomahawk, which would make it impossible for him/her to perform her/his work correctly. The multitude of algorithms easily applicable to the data. I the productio phase, it is better if the rage of algorithms tested o the data is ot exclusively limited to the implemetatio of the algorithms i Tomahawk, sice it would require a lot of effort to re-implemet algorithms available elsewhere as plug-is before testig them. The solutio was to develop Tomahawk i such a way that it supports the truly stepwise data miig process. A plug-i capable of storig ad deliverig preprocessed data was implemeted. Figure 5 presets the effects of the developmets. The left pael displays the pre-processig sequece prior to the adjustmets. All the plug-is were calculated at oce, ad they had to be properly cofigured to obtai properly pre-processed data. The right pael shows the situatio after the adoptio of the truly stepwise data miig process. The pre-processig ca be doe i its ow

9 sequece, after which a plug-i that iserts the data ito the database is applied. Now the pre-processed data is i the database ad available for further use at ay give time. Pre-processig i TOMAHAWK Pre-process Tomahawk database Plug-i 1: Plug-i 8: Trasformatio Trasformatio 1 8 Plug-i 9: Trasformatio 9 Tomahawk database A sequece of preprocessig plug-is Plug-i 2: Trasformatio 2 Expert Plug-i 3: Trasformatio 3 Plug-i: Load preprocessed data from database Plug-i: Output preprocessed data to database Figure 5: The left pael shows the applicatio of the stepwise data miig process o the preprocessig of the raw data i Tomahawk. The right pael shows Tomahawk after the modificatios that made it support the truly stepwise data miig process for pre-processig. The first ad secod issues are simple to solve by usig the ew approach. The pre-processig expert of the project takes care of properly cofigurig the preprocessig plug-is. If the plug-is eed to be re-cofigured or re-programmed for differet data sets, she / he has the requisite kowledge to do it, ad after the applicatio of the re-cofigured plug-is, the data ca be saved i the database. If it is ot possible to fid a workig combiatio of plug-is at the curret state of developmet, the data ca still be pre-processed maually, which would ot be feasible whe usig the stepwise process. After this, the expert i workig o preprocessed data ca load the data from the database ad be cofidet that the data she / he is workig o has bee correctly pre-processed. The third issue is also easy to solve; after the modificatios, the set of algorithms that ca be tested o the data is o loger limited to those implemeted i Tomahawk, but icludes tools that have a database iterface implemeted i them, for example Matlab. This expads drastically the rage of available algorithms, which i tur makes it also faster to fid a algorithm suitable to a give task. As soo as a suitable algorithm has bee foud, it ca be implemeted i Tomahawk. Fially, a compariso of the steps required for pre-processig the data i the SIOUX project usig the stepwise ad truly stepwise approaches is preseted. The motivatio of the compariso is to demostrate how large a task it would be for the researcher workig o pre-processed data to pre-process the data usig the stepwise approach before she / he could start the actual work. If oe wats to acquire pre-processed data usig the stepwise approach, it takes the applicatio ad cofiguratio of 8 plug-is to pre-process the data. The left pael of Figure 6 shows oe of the cofiguratio dialogs of the plug-is. This particular pael has 4 umerical values that must be set correctly ad the optio of settig 6 check boxes. The total umber of optios the researcher has to set i the 8 plug-is for acquirig correctly pre-processed data is 68. The 68 optios are ot the same for all the data gathered i the project, ad it requires advaced pre-processig skills to cofigure them correctly. Therefore, it is quite a complicated task to pre-process the

10 data, ad it is especially difficult for a researcher who has ot costructed the preprocessig plug-is. The eed to cofigure the 68 optios of the pre-processig sequece would take a lot of time ad expertise away from the actual work ad still give poor cofidece i that the data is correctly pre-processed. To acquire the pre-processed data usig the truly stepwise approach, oe oly eeds to fetch the data from the database. The right pael of Figure 6 shows the cofiguratio dialog of the database plug-i, which is used to cofigure the data fetched for aalysis from the database. Usig the dialog, the researcher workig o the pre-processed data ca simply choose the pre-processed data items that will be used i the further aalyses, ad she / he does ot have to bother with the actual preprocessig of the data. The researcher ca be sure that all the data loaded from the database has bee correctly pre-processed by the expert i pre-processig. From the viewpoit of the researcher resposible for the pre-processig, it is good to kow that the sequece of pre-processig plug-is does ot have to be ru every time that pre-processed data is eeded, ad that she / he ca be sure that correctly preprocessed data will be used i the further steps of the data miig process. I coclusio, by usig the stepwise process, a researcher workig with preprocessed data could ever be certai that the data had bee correctly pre-processed, or that all the plug-is had bee cofigured the way they should, which resulted i cofusio ad ucertaity about the quality of the data. The truly stepwise process, o the other had, allowed a otably simple way to access the pre-processed data, resulted i time savigs, ad esure that the aalyzed data were correctly preprocessed. Figure 6: The left pael shows oe of the 8 dialogues that eed to be filled i to acquire pre-processed sigal curves. The right pael shows the dialogue that is used for fetchig raw ad pre-processed data directly from the database. 5. Coclusios This paper preseted a ew approach for maagig the data miig process, called truly stepwise data miig process. I the truly stepwise process, the trasformed data is stored after the mai phases of the data miig process, ad the trasformatios are applied to data fetched from the data storage medium. The

11 beefits of the process compared to the stepwise data miig process (the traditioal approach) were aalyzed. It was oticed that the proposed approach icreases the idepedece of the algorithms applied to the data ad the umber of algorithms easily applicable to the data ad makes it easier to maage ad allocate the expertise ad teamwork of the data aalysts. Also, data storage ad o-lie moitorig of the data miig process are easier to orgaize usig the ew method, ad it saves both staff ad CPU time. The approach was illustrated usig a case study of a spot weldig data miig project. The two approaches were compared, ad it was demostrated that the proposed method markedly simplified the tasks of the specialist workig o the pre-processed data. I the future, the possibilities to apply the approach o a fier scale will be studied - here it was oly applied after the mai phases of the data miig process. The feature ad model data of the approach will also be demostrated, ad the applicatio of the method will be exteded to other data miig projects. 6. Ackowledgemets We would like to express our gratitude to our colleagues at Fachochschule Karlsruhe, Istitut für Iovatio ud Trasfer, i Harms + Wede GmbH & Co.KG [11], i Techax Idustrie [12] ad i Stazbiegetechik GesmbH [13] for providig the data set, the expertise eeded i the case study ad for umerous other thigs that made it possible to accomplish this work. We also wish to thak the graduate school GETA [14], supported by Academy of Filad, for sposorig this research. Furthermore, this study has bee fiacially supported by the Commissio of the Europea Commuities, specific RTD programme Competitive ad Sustaiable Growth, G1ST-CT , SIOUX (Itelliget System for Dyamic Olie Quality Cotrol of Spot Weldig Processes for Cross(X)-Sectoral Applicatios ). It does ot ecessarily reflect the views of this programme ad i o way aticipates the Commissio s future policy i this area. Refereces [1] P. Chapma, J. Clito, T. Khabaza, T. Reiartz ad R. Wirth, "CRISP-DM 1.0 Step-bystep data miig guide," August, [2] Hotz, E., Grimmer, U. Heuser, W. & Nakhaeizadeh, G REVI-MINER, a KDD- Eviromet for Deviatio Detectio ad Aalysis of Warraty ad Goodwill Cost Statemets i Automotive Idustry. I Proc. Seveth ACM SIGKDD Iteratioal Coferece o Kowledge Discovery ad Data Miig (KDD 2001), [3] Liu, J.B. & Ha, J A Practical Kowledge Discovery Process for Distributed Data Miig. I Proc. ISCA 11 th Iteratioal Coferece o Itelliget Systems: Emergig Techologies, [4] Silva, E.M., do Prado, H.A. & Fereda, E Text miig: crossig the chasm betwee the academy ad the idustry. I Proc. Third Iteratioal Coferece o Data Miig, [5] S. Moyle ad A. Jorge, "RAMSYS - A methodology for supportig rapid remote collaborative data miig projects," i ECML/PKDD'01 workshop o Itegratig

12 Aspects of Data Miig, Decisio Support ad Meta-Learig: Iteral SolEuNet Sessio, 2001, pp [6] D. Pyle, Data Preparatio for Data Miig, Morga Kaufma Publishers, [7] R.J. Brachma ad T. Aad, "The Process of Kowledge Discovery i Databases: A Huma-Cetered Approach," i Advaces i Kowledge Discovery ad Data Miig, U.M. Fayyad, G. Piatetsky-Shapiro, P. Smyth ad R. Uthurusamy Eds. MIT Press, 1996, pp [8] TWI World Cetre for Materials Joiig Techology, iformatio available at their homepage: refereced [9] Laurie, P.; Juo, H.; Tuovie, L.; Röig, J.; Studyig the Quality of Resistace Spot Weldig Joits Usig Bayesia Networks, Artificial Itelligece ad Applicatios (AIA 2004), February 16-18, 2004, Isbruck, Austria. [10] Juo, H.; Laurie, P.; Tuovie, L.; Röig, J.; Studyig the Quality of Resistace Spot Weldig Joits Usig Self-Orgaisig Maps, Fourth Iteratioal ICSC Symposium o Egieerig of Itelliget Systems (EIS 2004), February 29 -March 2, 2004, Madeira, Portugal. [11] Harms+Wede GmbH & Co.KG, the world wide web page: refereced [12] Techax Idustrie, the world wide web page: refereced [13] Stazbiegetechik GesmbH, the world wide web page: refereced [14] Graduate school GETA, the world wide web page: refereced

*The most important feature of MRP as compared with ordinary inventory control analysis is its time phasing feature.

*The most important feature of MRP as compared with ordinary inventory control analysis is its time phasing feature. Itegrated Productio ad Ivetory Cotrol System MRP ad MRP II Framework of Maufacturig System Ivetory cotrol, productio schedulig, capacity plaig ad fiacial ad busiess decisios i a productio system are iterrelated.

More information

Modified Line Search Method for Global Optimization

Modified Line Search Method for Global Optimization Modified Lie Search Method for Global Optimizatio Cria Grosa ad Ajith Abraham Ceter of Excellece for Quatifiable Quality of Service Norwegia Uiversity of Sciece ad Techology Trodheim, Norway {cria, ajith}@q2s.tu.o

More information

(VCP-310) 1-800-418-6789

(VCP-310) 1-800-418-6789 Maual VMware Lesso 1: Uderstadig the VMware Product Lie I this lesso, you will first lear what virtualizatio is. Next, you ll explore the products offered by VMware that provide virtualizatio services.

More information

Baan Service Master Data Management

Baan Service Master Data Management Baa Service Master Data Maagemet Module Procedure UP069A US Documetiformatio Documet Documet code : UP069A US Documet group : User Documetatio Documet title : Master Data Maagemet Applicatio/Package :

More information

CHAPTER 3 THE TIME VALUE OF MONEY

CHAPTER 3 THE TIME VALUE OF MONEY CHAPTER 3 THE TIME VALUE OF MONEY OVERVIEW A dollar i the had today is worth more tha a dollar to be received i the future because, if you had it ow, you could ivest that dollar ad ear iterest. Of all

More information

I. Chi-squared Distributions

I. Chi-squared Distributions 1 M 358K Supplemet to Chapter 23: CHI-SQUARED DISTRIBUTIONS, T-DISTRIBUTIONS, AND DEGREES OF FREEDOM To uderstad t-distributios, we first eed to look at aother family of distributios, the chi-squared distributios.

More information

Vladimir N. Burkov, Dmitri A. Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT

Vladimir N. Burkov, Dmitri A. Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT Keywords: project maagemet, resource allocatio, etwork plaig Vladimir N Burkov, Dmitri A Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT The paper deals with the problems of resource allocatio betwee

More information

Domain 1: Designing a SQL Server Instance and a Database Solution

Domain 1: Designing a SQL Server Instance and a Database Solution Maual SQL Server 2008 Desig, Optimize ad Maitai (70-450) 1-800-418-6789 Domai 1: Desigig a SQL Server Istace ad a Database Solutio Desigig for CPU, Memory ad Storage Capacity Requiremets Whe desigig a

More information

The analysis of the Cournot oligopoly model considering the subjective motive in the strategy selection

The analysis of the Cournot oligopoly model considering the subjective motive in the strategy selection The aalysis of the Courot oligopoly model cosiderig the subjective motive i the strategy selectio Shigehito Furuyama Teruhisa Nakai Departmet of Systems Maagemet Egieerig Faculty of Egieerig Kasai Uiversity

More information

Analyzing Longitudinal Data from Complex Surveys Using SUDAAN

Analyzing Longitudinal Data from Complex Surveys Using SUDAAN Aalyzig Logitudial Data from Complex Surveys Usig SUDAAN Darryl Creel Statistics ad Epidemiology, RTI Iteratioal, 312 Trotter Farm Drive, Rockville, MD, 20850 Abstract SUDAAN: Software for the Statistical

More information

1 Computing the Standard Deviation of Sample Means

1 Computing the Standard Deviation of Sample Means Computig the Stadard Deviatio of Sample Meas Quality cotrol charts are based o sample meas ot o idividual values withi a sample. A sample is a group of items, which are cosidered all together for our aalysis.

More information

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology Adoptio Date: 4 March 2004 Effective Date: 1 Jue 2004 Retroactive Applicatio: No Public Commet Period: Aug Nov 2002 INVESTMENT PERFORMANCE COUNCIL (IPC) Preface Guidace Statemet o Calculatio Methodology

More information

Engineering Data Management

Engineering Data Management BaaERP 5.0c Maufacturig Egieerig Data Maagemet Module Procedure UP128A US Documetiformatio Documet Documet code : UP128A US Documet group : User Documetatio Documet title : Egieerig Data Maagemet Applicatio/Package

More information

How to read A Mutual Fund shareholder report

How to read A Mutual Fund shareholder report Ivestor BulletI How to read A Mutual Fud shareholder report The SEC s Office of Ivestor Educatio ad Advocacy is issuig this Ivestor Bulleti to educate idividual ivestors about mutual fud shareholder reports.

More information

TruStore: The storage. system that grows with you. Machine Tools / Power Tools Laser Technology / Electronics Medical Technology

TruStore: The storage. system that grows with you. Machine Tools / Power Tools Laser Technology / Electronics Medical Technology TruStore: The storage system that grows with you Machie Tools / Power Tools Laser Techology / Electroics Medical Techology Everythig from a sigle source. Cotets Everythig from a sigle source. 2 TruStore

More information

Enhancing Oracle Business Intelligence with cubus EV How users of Oracle BI on Essbase cubes can benefit from cubus outperform EV Analytics (cubus EV)

Enhancing Oracle Business Intelligence with cubus EV How users of Oracle BI on Essbase cubes can benefit from cubus outperform EV Analytics (cubus EV) Ehacig Oracle Busiess Itelligece with cubus EV How users of Oracle BI o Essbase cubes ca beefit from cubus outperform EV Aalytics (cubus EV) CONTENT 01 cubus EV as a ehacemet to Oracle BI o Essbase 02

More information

Prescribing costs in primary care

Prescribing costs in primary care Prescribig costs i primary care LONDON: The Statioery Office 13.50 Ordered by the House of Commos to be prited o 14 May 2007 REPORT BY THE COMPTROLLER AND AUDITOR GENERAL HC 454 Sessio 2006-2007 18 May

More information

iprox sensors iprox inductive sensors iprox programming tools ProxView programming software iprox the world s most versatile proximity sensor

iprox sensors iprox inductive sensors iprox programming tools ProxView programming software iprox the world s most versatile proximity sensor iprox sesors iprox iductive sesors iprox programmig tools ProxView programmig software iprox the world s most versatile proximity sesor The world s most versatile proximity sesor Eato s iproxe is syoymous

More information

ODBC. Getting Started With Sage Timberline Office ODBC

ODBC. Getting Started With Sage Timberline Office ODBC ODBC Gettig Started With Sage Timberlie Office ODBC NOTICE This documet ad the Sage Timberlie Office software may be used oly i accordace with the accompayig Sage Timberlie Office Ed User Licese Agreemet.

More information

Domain 1 - Describe Cisco VoIP Implementations

Domain 1 - Describe Cisco VoIP Implementations Maual ONT (642-8) 1-800-418-6789 Domai 1 - Describe Cisco VoIP Implemetatios Advatages of VoIP Over Traditioal Switches Voice over IP etworks have may advatages over traditioal circuit switched voice etworks.

More information

Confidence Intervals for One Mean

Confidence Intervals for One Mean Chapter 420 Cofidece Itervals for Oe Mea Itroductio This routie calculates the sample size ecessary to achieve a specified distace from the mea to the cofidece limit(s) at a stated cofidece level for a

More information

Hypergeometric Distributions

Hypergeometric Distributions 7.4 Hypergeometric Distributios Whe choosig the startig lie-up for a game, a coach obviously has to choose a differet player for each positio. Similarly, whe a uio elects delegates for a covetio or you

More information

LEASE-PURCHASE DECISION

LEASE-PURCHASE DECISION Public Procuremet Practice STANDARD The decisio to lease or purchase should be cosidered o a case-by case evaluatio of comparative costs ad other factors. 1 Procuremet should coduct a cost/ beefit aalysis

More information

Making training work for your business

Making training work for your business Makig traiig work for your busiess Itegratig core skills of laguage, literacy ad umeracy ito geeral workplace traiig makes sese. The iformatio i this pamphlet will help you pla for ad build a successful

More information

Lesson 15 ANOVA (analysis of variance)

Lesson 15 ANOVA (analysis of variance) Outlie Variability -betwee group variability -withi group variability -total variability -F-ratio Computatio -sums of squares (betwee/withi/total -degrees of freedom (betwee/withi/total -mea square (betwee/withi

More information

INVESTMENT PERFORMANCE COUNCIL (IPC)

INVESTMENT PERFORMANCE COUNCIL (IPC) INVESTMENT PEFOMANCE COUNCIL (IPC) INVITATION TO COMMENT: Global Ivestmet Performace Stadards (GIPS ) Guidace Statemet o Calculatio Methodology The Associatio for Ivestmet Maagemet ad esearch (AIM) seeks

More information

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES Read Sectio 1.5 (pages 5 9) Overview I Sectio 1.5 we lear to work with summatio otatio ad formulas. We will also itroduce a brief overview of sequeces,

More information

Your organization has a Class B IP address of 166.144.0.0 Before you implement subnetting, the Network ID and Host ID are divided as follows:

Your organization has a Class B IP address of 166.144.0.0 Before you implement subnetting, the Network ID and Host ID are divided as follows: Subettig Subettig is used to subdivide a sigle class of etwork i to multiple smaller etworks. Example: Your orgaizatio has a Class B IP address of 166.144.0.0 Before you implemet subettig, the Network

More information

Output Analysis (2, Chapters 10 &11 Law)

Output Analysis (2, Chapters 10 &11 Law) B. Maddah ENMG 6 Simulatio 05/0/07 Output Aalysis (, Chapters 10 &11 Law) Comparig alterative system cofiguratio Sice the output of a simulatio is radom, the comparig differet systems via simulatio should

More information

The Big Picture: An Introduction to Data Warehousing

The Big Picture: An Introduction to Data Warehousing Chapter 1 The Big Picture: A Itroductio to Data Warehousig Itroductio I 1977, Jimmy Carter was Presidet of the Uited States, Star Wars hit the big scree, ad Apple Computer, Ic. itroduced the world to the

More information

1 Correlation and Regression Analysis

1 Correlation and Regression Analysis 1 Correlatio ad Regressio Aalysis I this sectio we will be ivestigatig the relatioship betwee two cotiuous variable, such as height ad weight, the cocetratio of a ijected drug ad heart rate, or the cosumptio

More information

CCH Accountants Starter Pack

CCH Accountants Starter Pack CCH Accoutats Starter Pack We may be a bit smaller, but fudametally we re o differet to ay other accoutig practice. Util ow, smaller firms have faced a stark choice: Buy cheaply, kowig that the practice

More information

ADAPTIVE NETWORKS SAFETY CONTROL ON FUZZY LOGIC

ADAPTIVE NETWORKS SAFETY CONTROL ON FUZZY LOGIC 8 th Iteratioal Coferece o DEVELOPMENT AND APPLICATION SYSTEMS S u c e a v a, R o m a i a, M a y 25 27, 2 6 ADAPTIVE NETWORKS SAFETY CONTROL ON FUZZY LOGIC Vadim MUKHIN 1, Elea PAVLENKO 2 Natioal Techical

More information

Center, Spread, and Shape in Inference: Claims, Caveats, and Insights

Center, Spread, and Shape in Inference: Claims, Caveats, and Insights Ceter, Spread, ad Shape i Iferece: Claims, Caveats, ad Isights Dr. Nacy Pfeig (Uiversity of Pittsburgh) AMATYC November 2008 Prelimiary Activities 1. I would like to produce a iterval estimate for the

More information

Incremental calculation of weighted mean and variance

Incremental calculation of weighted mean and variance Icremetal calculatio of weighted mea ad variace Toy Fich [email protected] [email protected] Uiversity of Cambridge Computig Service February 009 Abstract I these otes I eplai how to derive formulae for umerically

More information

Systems Design Project: Indoor Location of Wireless Devices

Systems Design Project: Indoor Location of Wireless Devices Systems Desig Project: Idoor Locatio of Wireless Devices Prepared By: Bria Murphy Seior Systems Sciece ad Egieerig Washigto Uiversity i St. Louis Phoe: (805) 698-5295 Email: [email protected] Supervised

More information

Statistical inference: example 1. Inferential Statistics

Statistical inference: example 1. Inferential Statistics Statistical iferece: example 1 Iferetial Statistics POPULATION SAMPLE A clothig store chai regularly buys from a supplier large quatities of a certai piece of clothig. Each item ca be classified either

More information

CONTROL CHART BASED ON A MULTIPLICATIVE-BINOMIAL DISTRIBUTION

CONTROL CHART BASED ON A MULTIPLICATIVE-BINOMIAL DISTRIBUTION www.arpapress.com/volumes/vol8issue2/ijrras_8_2_04.pdf CONTROL CHART BASED ON A MULTIPLICATIVE-BINOMIAL DISTRIBUTION Elsayed A. E. Habib Departmet of Statistics ad Mathematics, Faculty of Commerce, Beha

More information

Hypothesis testing. Null and alternative hypotheses

Hypothesis testing. Null and alternative hypotheses Hypothesis testig Aother importat use of samplig distributios is to test hypotheses about populatio parameters, e.g. mea, proportio, regressio coefficiets, etc. For example, it is possible to stipulate

More information

France caters to innovative companies and offers the best research tax credit in Europe

France caters to innovative companies and offers the best research tax credit in Europe 1/5 The Frech Govermet has three objectives : > improve Frace s fiscal competitiveess > cosolidate R&D activities > make Frace a attractive coutry for iovatio Tax icetives have become a key elemet of public

More information

The Forgotten Middle. research readiness results. Executive Summary

The Forgotten Middle. research readiness results. Executive Summary The Forgotte Middle Esurig that All Studets Are o Target for College ad Career Readiess before High School Executive Summary Today, college readiess also meas career readiess. While ot every high school

More information

Handling. Collection Calls

Handling. Collection Calls Hadlig the Collectio Calls We do everythig we ca to stop collectio calls; however, i the early part of our represetatio, you ca expect some of these calls to cotiue. We uderstad that the first few moths

More information

Project Deliverables. CS 361, Lecture 28. Outline. Project Deliverables. Administrative. Project Comments

Project Deliverables. CS 361, Lecture 28. Outline. Project Deliverables. Administrative. Project Comments Project Deliverables CS 361, Lecture 28 Jared Saia Uiversity of New Mexico Each Group should tur i oe group project cosistig of: About 6-12 pages of text (ca be loger with appedix) 6-12 figures (please

More information

CREATIVE MARKETING PROJECT 2016

CREATIVE MARKETING PROJECT 2016 CREATIVE MARKETING PROJECT 2016 The Creative Marketig Project is a chapter project that develops i chapter members a aalytical ad creative approach to the marketig process, actively egages chapter members

More information

Message Exchange in the Utility Market Using SAP for Utilities. Point of View by Marc Metz and Maarten Vriesema

Message Exchange in the Utility Market Using SAP for Utilities. Point of View by Marc Metz and Maarten Vriesema Eergy, Utilities ad Chemicals the way we see it Message Exchage i the Utility Market Usig SAP for Utilities Poit of View by Marc Metz ad Maarte Vriesema Itroductio Liberalisatio of utility markets has

More information

Taking DCOP to the Real World: Efficient Complete Solutions for Distributed Multi-Event Scheduling

Taking DCOP to the Real World: Efficient Complete Solutions for Distributed Multi-Event Scheduling Taig DCOP to the Real World: Efficiet Complete Solutios for Distributed Multi-Evet Schedulig Rajiv T. Maheswara, Milid Tambe, Emma Bowrig, Joatha P. Pearce, ad Pradeep araatham Uiversity of Souther Califoria

More information

How to use what you OWN to reduce what you OWE

How to use what you OWN to reduce what you OWE How to use what you OWN to reduce what you OWE Maulife Oe A Overview Most Caadias maage their fiaces by doig two thigs: 1. Depositig their icome ad other short-term assets ito chequig ad savigs accouts.

More information

QUADRO tech. PST Flightdeck. Put your PST Migration on autopilot

QUADRO tech. PST Flightdeck. Put your PST Migration on autopilot QUADRO tech PST Flightdeck Put your PST Migratio o autopilot Put your PST Migratio o Autopilot A moder aircraft hardly remids its pilots of the early days of air traffic. It is desiged to eable flyig as

More information

Electrostatic solutions for better efficiency

Electrostatic solutions for better efficiency Electrostatic solutios for better efficiecy idustry for egieers, professioals ad techicias i developmet, productio ad istallatio. www.kerste.de/e Electrostatic solutios kerste has bee the leadig supplier

More information

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown Z-TEST / Z-STATISTIC: used to test hypotheses about µ whe the populatio stadard deviatio is kow ad populatio distributio is ormal or sample size is large T-TEST / T-STATISTIC: used to test hypotheses about

More information

PUBLIC RELATIONS PROJECT 2016

PUBLIC RELATIONS PROJECT 2016 PUBLIC RELATIONS PROJECT 2016 The purpose of the Public Relatios Project is to provide a opportuity for the chapter members to demostrate the kowledge ad skills eeded i plaig, orgaizig, implemetig ad evaluatig

More information

DAME - Microsoft Excel add-in for solving multicriteria decision problems with scenarios Radomir Perzina 1, Jaroslav Ramik 2

DAME - Microsoft Excel add-in for solving multicriteria decision problems with scenarios Radomir Perzina 1, Jaroslav Ramik 2 Itroductio DAME - Microsoft Excel add-i for solvig multicriteria decisio problems with scearios Radomir Perzia, Jaroslav Ramik 2 Abstract. The mai goal of every ecoomic aget is to make a good decisio,

More information

Non-life insurance mathematics. Nils F. Haavardsson, University of Oslo and DNB Skadeforsikring

Non-life insurance mathematics. Nils F. Haavardsson, University of Oslo and DNB Skadeforsikring No-life isurace mathematics Nils F. Haavardsso, Uiversity of Oslo ad DNB Skadeforsikrig Mai issues so far Why does isurace work? How is risk premium defied ad why is it importat? How ca claim frequecy

More information

Optimize your Network. In the Courier, Express and Parcel market ADDING CREDIBILITY

Optimize your Network. In the Courier, Express and Parcel market ADDING CREDIBILITY Optimize your Network I the Courier, Express ad Parcel market ADDING CREDIBILITY Meetig today s challeges ad tomorrow s demads Aswers to your key etwork challeges ORTEC kows the highly competitive Courier,

More information

COMPARISON OF THE EFFICIENCY OF S-CONTROL CHART AND EWMA-S 2 CONTROL CHART FOR THE CHANGES IN A PROCESS

COMPARISON OF THE EFFICIENCY OF S-CONTROL CHART AND EWMA-S 2 CONTROL CHART FOR THE CHANGES IN A PROCESS COMPARISON OF THE EFFICIENCY OF S-CONTROL CHART AND EWMA-S CONTROL CHART FOR THE CHANGES IN A PROCESS Supraee Lisawadi Departmet of Mathematics ad Statistics, Faculty of Sciece ad Techoology, Thammasat

More information

A Secure Implementation of Java Inner Classes

A Secure Implementation of Java Inner Classes A Secure Implemetatio of Java Ier Classes By Aasua Bhowmik ad William Pugh Departmet of Computer Sciece Uiversity of Marylad More ifo at: http://www.cs.umd.edu/~pugh/java Motivatio ad Overview Preset implemetatio

More information

Page 1. Real Options for Engineering Systems. What are we up to? Today s agenda. J1: Real Options for Engineering Systems. Richard de Neufville

Page 1. Real Options for Engineering Systems. What are we up to? Today s agenda. J1: Real Options for Engineering Systems. Richard de Neufville Real Optios for Egieerig Systems J: Real Optios for Egieerig Systems By (MIT) Stefa Scholtes (CU) Course website: http://msl.mit.edu/cmi/ardet_2002 Stefa Scholtes Judge Istitute of Maagemet, CU Slide What

More information

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets BENEIT-CST ANALYSIS iacial ad Ecoomic Appraisal usig Spreadsheets Ch. 2: Ivestmet Appraisal - Priciples Harry Campbell & Richard Brow School of Ecoomics The Uiversity of Queeslad Review of basic cocepts

More information

E-Plex Enterprise Access Control System

E-Plex Enterprise Access Control System Eterprise Access Cotrol System Egieered for Flexibility Modular Solutio The Eterprise Access Cotrol System is a modular solutio for maagig access poits. Employig a variety of hardware optios, system maagemet

More information

In nite Sequences. Dr. Philippe B. Laval Kennesaw State University. October 9, 2008

In nite Sequences. Dr. Philippe B. Laval Kennesaw State University. October 9, 2008 I ite Sequeces Dr. Philippe B. Laval Keesaw State Uiversity October 9, 2008 Abstract This had out is a itroductio to i ite sequeces. mai de itios ad presets some elemetary results. It gives the I ite Sequeces

More information

Configuring Additional Active Directory Server Roles

Configuring Additional Active Directory Server Roles Maual Upgradig your MCSE o Server 2003 to Server 2008 (70-649) 1-800-418-6789 Cofigurig Additioal Active Directory Server Roles Active Directory Lightweight Directory Services Backgroud ad Cofiguratio

More information

Soving Recurrence Relations

Soving Recurrence Relations Sovig Recurrece Relatios Part 1. Homogeeous liear 2d degree relatios with costat coefficiets. Cosider the recurrece relatio ( ) T () + at ( 1) + bt ( 2) = 0 This is called a homogeeous liear 2d degree

More information

Agenda. Outsourcing and Globalization in Software Development. Outsourcing. Outsourcing here to stay. Outsourcing Alternatives

Agenda. Outsourcing and Globalization in Software Development. Outsourcing. Outsourcing here to stay. Outsourcing Alternatives Outsourcig ad Globalizatio i Software Developmet Jacques Crocker UW CSE Alumi 2003 [email protected] Ageda Itroductio The Outsourcig Pheomeo Leadig Offshore Projects Maagig Customers Offshore Developmet

More information

Evaluating Model for B2C E- commerce Enterprise Development Based on DEA

Evaluating Model for B2C E- commerce Enterprise Development Based on DEA , pp.180-184 http://dx.doi.org/10.14257/astl.2014.53.39 Evaluatig Model for B2C E- commerce Eterprise Developmet Based o DEA Weli Geg, Jig Ta Computer ad iformatio egieerig Istitute, Harbi Uiversity of

More information

Security Functions and Purposes of Network Devices and Technologies (SY0-301) 1-800-418-6789. Firewalls. Audiobooks

Security Functions and Purposes of Network Devices and Technologies (SY0-301) 1-800-418-6789. Firewalls. Audiobooks Maual Security+ Domai 1 Network Security Every etwork is uique, ad architecturally defied physically by its equipmet ad coectios, ad logically through the applicatios, services, ad idustries it serves.

More information

Automatic Tuning for FOREX Trading System Using Fuzzy Time Series

Automatic Tuning for FOREX Trading System Using Fuzzy Time Series utomatic Tuig for FOREX Tradig System Usig Fuzzy Time Series Kraimo Maeesilp ad Pitihate Soorasa bstract Efficiecy of the automatic currecy tradig system is time depedet due to usig fixed parameters which

More information

Agency Relationship Optimizer

Agency Relationship Optimizer Decideware Developmet Agecy Relatioship Optimizer The Leadig Software Solutio for Cliet-Agecy Relatioship Maagemet supplier performace experts scorecards.deploymet.service decide ware Sa Fracisco Sydey

More information

Chapter 6: Variance, the law of large numbers and the Monte-Carlo method

Chapter 6: Variance, the law of large numbers and the Monte-Carlo method Chapter 6: Variace, the law of large umbers ad the Mote-Carlo method Expected value, variace, ad Chebyshev iequality. If X is a radom variable recall that the expected value of X, E[X] is the average value

More information

A Balanced Scorecard

A Balanced Scorecard A Balaced Scorecard with VISION A Visio Iteratioal White Paper Visio Iteratioal A/S Aarhusgade 88, DK-2100 Copehage, Demark Phoe +45 35430086 Fax +45 35434646 www.balaced-scorecard.com 1 1. Itroductio

More information

TIAA-CREF Wealth Management. Personalized, objective financial advice for every stage of life

TIAA-CREF Wealth Management. Personalized, objective financial advice for every stage of life TIAA-CREF Wealth Maagemet Persoalized, objective fiacial advice for every stage of life A persoalized team approach for a trusted lifelog relatioship No matter who you are, you ca t be a expert i all aspects

More information

Week 3 Conditional probabilities, Bayes formula, WEEK 3 page 1 Expected value of a random variable

Week 3 Conditional probabilities, Bayes formula, WEEK 3 page 1 Expected value of a random variable Week 3 Coditioal probabilities, Bayes formula, WEEK 3 page 1 Expected value of a radom variable We recall our discussio of 5 card poker hads. Example 13 : a) What is the probability of evet A that a 5

More information

client communication

client communication CCH Portal cliet commuicatio facig today s challeges Like most accoutacy practices, we ow use email for most cliet commuicatio. It s quick ad easy, but we do worry about the security of sesitive data.

More information

Neolane Reporting. Neolane v6.1

Neolane Reporting. Neolane v6.1 Neolae Reportig Neolae v6.1 This documet, ad the software it describes, are provided subject to a Licese Agreemet ad may ot be used or copied outside of the provisios of the Licese Agreemet. No part of

More information

Desktop Management. Desktop Management Tools

Desktop Management. Desktop Management Tools Desktop Maagemet 9 Desktop Maagemet Tools Mac OS X icludes three desktop maagemet tools that you might fid helpful to work more efficietly ad productively: u Stacks puts expadable folders i the Dock. Clickig

More information

Information about Bankruptcy

Information about Bankruptcy Iformatio about Bakruptcy Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea What is the? The Isolvecy Service of Irelad () is a idepedet

More information

Discrete Mathematics and Probability Theory Spring 2014 Anant Sahai Note 13

Discrete Mathematics and Probability Theory Spring 2014 Anant Sahai Note 13 EECS 70 Discrete Mathematics ad Probability Theory Sprig 2014 Aat Sahai Note 13 Itroductio At this poit, we have see eough examples that it is worth just takig stock of our model of probability ad may

More information

CCH CRM Books Online Software Fee Protection Consultancy Advice Lines CPD Books Online Software Fee Protection Consultancy Advice Lines CPD

CCH CRM Books Online Software Fee Protection Consultancy Advice Lines CPD Books Online Software Fee Protection Consultancy Advice Lines CPD Books Olie Software Fee Fee Protectio Cosultacy Advice Advice Lies Lies CPD CPD facig today s challeges As a accoutacy practice, maagig relatioships with our cliets has to be at the heart of everythig

More information

Amendments to employer debt Regulations

Amendments to employer debt Regulations March 2008 Pesios Legal Alert Amedmets to employer debt Regulatios The Govermet has at last issued Regulatios which will amed the law as to employer debts uder s75 Pesios Act 1995. The amedig Regulatios

More information

Business Rules-Driven SOA. A Framework for Multi-Tenant Cloud Computing

Business Rules-Driven SOA. A Framework for Multi-Tenant Cloud Computing Lect. Phd. Liviu Gabriel CRETU / SPRERS evet Traiig o software services, Timisoara, Romaia, 6-10 dec 2010 www.feaa.uaic.ro Busiess Rules-Drive SOA. A Framework for Multi-Teat Cloud Computig Lect. Ph.D.

More information

Example 2 Find the square root of 0. The only square root of 0 is 0 (since 0 is not positive or negative, so those choices don t exist here).

Example 2 Find the square root of 0. The only square root of 0 is 0 (since 0 is not positive or negative, so those choices don t exist here). BEGINNING ALGEBRA Roots ad Radicals (revised summer, 00 Olso) Packet to Supplemet the Curret Textbook - Part Review of Square Roots & Irratioals (This portio ca be ay time before Part ad should mostly

More information

Digital Enterprise Unit. White Paper. Web Analytics Measurement for Responsive Websites

Digital Enterprise Unit. White Paper. Web Analytics Measurement for Responsive Websites Digital Eterprise Uit White Paper Web Aalytics Measuremet for Resposive Websites About the Authors Vishal Machewad Vishal Machewad has over 13 years of experiece i sales ad marketig, havig worked as a

More information

Measuring Magneto Energy Output and Inductance Revision 1

Measuring Magneto Energy Output and Inductance Revision 1 Measurig Mageto Eergy Output ad Iductace evisio Itroductio A mageto is fudametally a iductor that is mechaically charged with a iitial curret value. That iitial curret is produced by movemet of the rotor

More information

Document Control Solutions

Document Control Solutions Documet Cotrol Solutios State of the art software The beefits of Assai Assai Software Services provides leadig edge Documet Cotrol ad Maagemet System software for oil ad gas, egieerig ad costructio. AssaiDCMS

More information

leasing Solutions We make your Business our Business

leasing Solutions We make your Business our Business if you d like to discover how Bp paribas leasig Solutios Ca help you to achieve your goals please get i touch leasig Solutios We make your Busiess our Busiess We look forward to hearig from you you ca

More information

Effective Data Deduplication Implementation

Effective Data Deduplication Implementation White Paper Effective Data Deduplicatio Implemetatio Eterprises with IT ifrastructure are lookig at reducig their carbo foot prit ad ifrastructure maagemet cost by slimmig dow their data ceters. I cotrast,

More information

AdaLab. Adaptive Automated Scientific Laboratory (AdaLab) Adaptive Machines in Complex Environments. n Start Date: 1.4.15

AdaLab. Adaptive Automated Scientific Laboratory (AdaLab) Adaptive Machines in Complex Environments. n Start Date: 1.4.15 AdaLab AdaLab Adaptive Automated Scietific Laboratory (AdaLab) Adaptive Machies i Complex Eviromets Start Date: 1.4.15 Scietific Backgroud The Cocept of a Robot Scietist Computer systems capable of origiatig

More information

On-Premise CRM to Salesforce Migration - Benefits, Challenges and Best Practices

On-Premise CRM to Salesforce Migration - Benefits, Challenges and Best Practices White Paper O-Premise CRM to Salesforce Migratio - Beefits, Challeges ad Best Practices With the advet of cloud computig, orgaizatios are lookig to move their Customer Relatioship Maagemet (CRM) applicatios

More information

Best of security and convenience

Best of security and convenience Get More with Additioal Cardholders. Importat iformatio. Add a co-applicat or authorized user to your accout ad you ca take advatage of the followig beefits: RBC Royal Bak Visa Customer Service Cosolidate

More information

Study on the application of the software phase-locked loop in tracking and filtering of pulse signal

Study on the application of the software phase-locked loop in tracking and filtering of pulse signal Advaced Sciece ad Techology Letters, pp.31-35 http://dx.doi.org/10.14257/astl.2014.78.06 Study o the applicatio of the software phase-locked loop i trackig ad filterig of pulse sigal Sog Wei Xia 1 (College

More information

AN INTELLIGENT MODEL FOR SALES AND INVENTORY MANAGEMENT

AN INTELLIGENT MODEL FOR SALES AND INVENTORY MANAGEMENT AN INTELLIGENT MODEL FOR SALES AND INVENTORY MANAGEMENT SYLVANUS O. ANIGBOGU, Ph.D. Associate Professor of Computer Sciece Departmet of Computer Sciece, Namdi Azikiwe Uiversity, Awka, Aambra State, 420001,

More information

PSYCHOLOGICAL STATISTICS

PSYCHOLOGICAL STATISTICS UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION B Sc. Cousellig Psychology (0 Adm.) IV SEMESTER COMPLEMENTARY COURSE PSYCHOLOGICAL STATISTICS QUESTION BANK. Iferetial statistics is the brach of statistics

More information

QUADRO tech. FSA Migrator 2.6. File Server Migrations - Made Easy

QUADRO tech. FSA Migrator 2.6. File Server Migrations - Made Easy QUADRO tech FSA Migrator 2.6 File Server Migratios - Made Easy FSA Migrator Cosolidate your archived ad o-archived File Server data - with ease! May orgaisatios struggle with the cotiuous growth of their

More information