APPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING


 Blaze Cross
 3 years ago
 Views:
Transcription
1 Journal Journal of Chemcal of Chemcal Technology and and Metallurgy, 50, 6, 50, 2015, 6, APPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING Abdrakhman Nazabekov 1, Vtaly Talmazan 2, Sergey Lezhnev 2, Zhuman Amanzholov 2, Аlmas Erzhanov 2 1 Rudny Industral Insttute, Rudny, Kazakhstan Emal: 2 Karaganda State Industral Unversty, Receved 19 February 2015 Accepted 30 July 2015 Temrtau, Kazakhstan Republc avenue 30, , Temrtau, Kazakhstan Emal: ABSTRACT Ths artcle s devoted of optmzaton of force and power parameters of cold rollng process. Anoptmzaton of cold rollng wth the use of computer programmng to reduce defects ofcold rolled metalwas carred out. For ths purpose a computer program for calculatons of optmal modes of rollng of strp wth surface defect was developed. It allows one to calculate power parameters for a gven mode of rollng, the degree of use of the resource of plastcty of metal strps wth defect and determnaton of optmal rollng modes. In the result were obtaned graphs of curves wth optmzed values of rollng force, power and also degree of usng of plastcty resource n compare wth workshop mode. Keywords: computer programmng, optmzaton, cold rollng, surface defects. INTRODUCTION Rollng process conssts of a seres of connected unt operatons, each of whch represents a converson nto a fnshed workpece profle. It s necessary to ratonally desgn process chan, thus, durng operaton to manage to get the hghest possble qualty of the fnshed products. Contnuous rollng process has a number of features whch complcate and mpede the development of optmal processes. One of the dffcultes s that the resultng optmzaton problem requres consderaton of many factors related to each other. In ths mode, contnuous rollng largely determnes the qualty of rolled metal. Durng rollng of the strp t s very mportant to fnd the optmal regmes of rollng to produce qualty steel [1]. The essence of optmzaton from a mathematcal pont of vew s the followng: t s requred to fnd such process control functons to mplement under gven constrants extremum of socalled objectve functon. The essence of optmzaton from a technologcal pont of vew s the followng: t s requred to fnd a mode of rollng process that for gven technologcal constrants to acheve the best results. By optmzng we understand some common problem wth a common goal, and also assume the formulaton of the objectve functon and the study of solutons provdng the extremum of the objectve functon. There are many methods for optmal control of technologcal processes. Optmzaton problem s solved by methods of rollng process of lnear and nonlnear programmng, as well as by means of dynamc programmng. The most unversal method for optmal control n relaton to producton problems s the method of dynamc programmng [2]. Dynamc programmng s a mathematcal tool that allows mplementng the optmal schedulng of multstage control processes and the processes that depend on tme. When solvng complex optmzaton problems t s often useful to make a decson mmedately, but gradually, step by step, so that the decson s dvded nto several stages. The fundamental bass of dynamc 638
2 Abdrakhman Nazabekov, Vtaly Talmazan, Sergey Lezhnev, Zhuman Amanzholov, Аlmas Erzhanov programmng s the prncple of optmalty, whch conssts n fndng the condtonal optmal controls from each state at ths stage n the fnal state. Usng the prncple of optmalty s to guarantee that the soluton that combnes the best decsons at certan stages would be the best when consderng the whole process [3]. Dynamc programmng method s characterzed by the followng: 1) step or gradual movement (complex problem s reduced to the successve soluton of the set of smpler problems);2) to apply dynamc programmng method t s necessary to obtan a recurrence relaton so that a new state at the end of phase unquely calculated on the bass of the state n the early stage and management at ths stage, regardless of how soluton s found; 3) the selected optmalty crteron must have the property of addtvty,.e., for the entre process, t must consst of values obtaned at varous stages (ths condton greatly restrcts the possblty of usng dynamc programmng or can lead to consderable complcaton of the problem when tryng t for addtvty). When used correctly, the method of dynamc programmng allows vewng all the necessary control channels and fndng the true optmal soluton. The method features wth a specfc targeted search, rejectng unwanted control path, whch saves computaton tme compared to blnd search. However, the complexty of the dynamc programmng method s to obtan recurrence relatons, whch would satsfy the condtons of the problem and lead to the desred result. The optmzaton problem s solved under certan constrants defned by the desgn parameters of the rollng mll and rollng technology. These are vald values of force and moment of rollng, the lmt values of rollng power and other lmts of the passages at the relatve compresson, the rato of specfc tenson to the yeld stress of the materal, the coeffcent of frcton and other. Deformaton zone durng rollng s characterzed by the presence of forward slp and backward slp zones. For backward slp zones n the deformaton zone s characterzed as follows: the vector of lnear speed of the roll s greater than the velocty vector of the strp; so n backward slp zones stress frcton facng forward n the course of rollng. In the forward slp zone stress frcton s drected aganst a course of rollng. In ths regard, the forward slp zone of the deformaton zone can be a process of defect formaton due to frcton force drected aganst rollng stroke caused by the velocty ncrease of the metal relatve to the speed of rollng rolls. Ths phenomenon s partcularly mportant durng rollng n the last rollng stands, n whch the fnal formaton of the strp surface occurs [4]. EXPERIMENTAL To reduce the defect formaton for the optmzaton parameter we adopted the total length of the forward slp zone for the whole rollng cycle. The whole rollng cycle s dvded nto fve stages (smlar to contnuous fve stand cold rollng mll 1700 at JSC ArcelorMttal Temrtau ). The program s structured so that the endponts of each of the prevous stand are the ntal parameters of each subsequent. Surface defects are a knd of stress concentrators n the places of whch occurrence, durng rollng an open tearcan be formed, and, as a consequence, ths can lead to the strp break, as well as the ntegrty of the workng surface of rolls barrel. Control of the degree of use of the resource of plastcty of metal n the zone of surface defects wll ncrease ther rollng out, reduce strp burst durng rollng, and as a consequence, mprove the qualty of steel products. As objectve functon durng optmzaton of rollng total length of the forward slp zone for all the passages of deformaton under the exstng restrctonscan be consdered : { ( n) } n l2 = mn l l (1) 2 mn = 1 An mportant condton s consdered to be preventon of excess of plastcty resource usng degree 1.0 [5]. In vew of ths system major lmtatons look as follows (consderng [6, 7]): [ ] [ ] a C µ, P < P, N < N, 0, 02 µ 0,15, 0, 2R0.2 q 0 1 0,5 R0.2, hmn h hmax, W > 0, q1 n 0,1 R0.2 n, ψ < 1, 0. (2) where: α С  capture angle, rad; [P], [N]  maxmum allowable value of force and power durng rollng correspondngly, kn, kw; μ  frcton coeffcent; q 1  forward specfc tenson, MPa; R yeld strength of the metal, MPa; h  strp thckness, mm; ψ Σ  total plastcty resource utlzaton degree; 639
3 Journal of Chemcal Technology and Metallurgy, 50, 6, 2015 W  plastcty resource stocks;  passage number; n  quantty of passages. In general, the man functons can be wrtten as follows: P = µ ( pave, R0.2, ε, ldc, q0, q1, µ, R), N = µ ( M, υ, R), (3) W = µλψ (,, δ h, I δ,) where: P rollng force, kn; N  rollng power, kw; Mrollng moment, kn m; pave average specfc pressure, MPa; ε  relatve reducton, %; R  radus of the rolls, mm; υ  rollng speed, ms 1 ; λ  draw; ψ  plastcty resource utlzaton degree; δ /h  relatve depth of the surface defect; I δ  ntensty of rollng out of surface defect. Wth the use of [89] we developed a computer program for calculatng the optmal regmes of rollng strp wth surface defects. The program s wrtten n the programmng language «Delph». The program allows performng the followng tasks: calculaton of power parameters for a gven rollng mode; calculaton of the degree of use of the resource of plastcty of metal strps wth defect; determnaton of optmal rollng modes, provdng mproved surface fnsh and ncrease rollng out of strp surface defects, and consequently decrease burst of strps durng rollng. Problems are solved under certan constrants: desgn parameters of the rollng mll and rollng technology requrements. These are vald values of forces and power of rollng, capture angle relatons of front and rear specfc tensons to the yeld pont of the materal, based on the condtons for the effcent constructon of the mll. Also lmts on the values of the coeffcent of frcton, the front and rear specfc tensons, relatve reducton per passareset. The program has three control parameters, wth whose help there s a focused sortng of dfferent process states. Control parameters are compresson, frcton and front resstvty tenson. After nput of ntaldata there occurs avaraton ofcontrol parameterswthsmultaneous calculaton of DURPandpower parameters ofrollng. As 640 the three control parameters are accepted:μ frcton coeffcent; q 1 front tenson (MPa); h strp thckness (mm). Before the start of varaton process defne the boundares of varaton of selected parameters control. Varaton boundares are defned on the bass of the normal condtons of the rollng process and consttute: 1) 0.02 μ 0.15 wth teratonstep 0.01; 2) 0.2 R 0.20 q R 0.2 wth teraton step 1; 3) 0.97 h 1 h 0.6 h 1 wth teraton step A smplfed block dagram of the program s shown n Fg. 1. The varaton conssts of the followng: 1) at the begnnng control parameters are assgned to the ntal boundares of varaton and calculaton occurs; 2) further the value of one of the control parameters s changed to the teraton step, the values of the other two control parameters are not changed (control parameter changng occurs untl t reaches a fnal value lmt); 3) after the entre boundary has been calculated, there s a change of the next control parameter values on the step teraton (ths happens as long asall the borders of all control settngs calculated). Fg. 1. A smplfed block dagram of the rollng optmzaton program.
4 Abdrakhman Nazabekov, Vtaly Talmazan, Sergey Lezhnev, Zhuman Amanzholov, Аlmas Erzhanov In the forward slp zone of the deformaton zone could occur a process of defect formaton due to frcton forces drected aganst the rollng stroke and caused by an ncrease of the speed of the metal relatve to the speed of rolls. The system of constrants s necessary to ensure the normal rollng process and represents a lmtaton of the capture ablty, lmtatonson strength, power of the motor, and a lmt on the degree of use of the resource of plastcty. It s mportant that the total degree ofthe use of the resource of plastcty of metal does not exceed unty. Lmtatons system elmnates optons that exceed the permssble requrements. Next, when the entre set of solutons obtaned, the program selects a mode of rollng, whch provdes the smallest total length of the forward slp zone n the deformaton zone n the last stand for the entre rollng perod. Wth the results of regresson analyss of the data we obtaned a relatonshp equaton of compresson, tenson and frcton coeffcent (at R2 = 0.99): q ε a a = + + a µ q0, (4) where: a 0, a 1, a 2  constants dependng on the rolled metal and shapes; q 0  specfc back tenson, MPa; q 1  specfc front tenson, MPa; μ  contact frcton coeffcent; stand number. Appontment of rollng mode accordng to equaton (4) provdes a rollng process wthout exceedng the allowable values of energypower parameters and degree of use of the resource of metal plastcty, and also reduces probablty of defect formaton n the deformaton zone. forward slp zone length to the fnal stand, t s because n ths stand the fnal formaton of the strp surfaceoccurs. Power parameters of rollng optmzed mode do not exceed the maxmum permssble values. Comparson of workshop and optmzed modes s shown n Fgs Tenson durng rollng on workshop mode s n the range of 0.2 R 0.2, ncreasng the tenson to 0,275 R 0.2 causes a slght lowerng of the rollng force (Fg. 2). Fg. 2. Rollng force. Fg. 3. Rollng power. RESULTS AND DISCUSSION In condtons of JSC ArcelorMttal Temrtau most often surface defects occur on a thn profle wth a thckness of 0.7 mm. Usng developed program has completed the calculaton of compresson optmzaton modes at mll 1700 of JSC ArcelorMttal Temrtau of profle mm made of steel AISI The results obtaned by computng are optmzed versons of compresson and tenson modes, provdng specfed profle rollng and satsfy gven constrants. Optmzaton of rollng s calculated consderng the mnmzaton of Fg. 4. Summary of the degree of use of the resource of plastcty. 641
5 Journal of Chemcal Technology and Metallurgy, 50, 6, 2015 Redstrbuton of compresson n stands leads to some ncrease of the rollng power n the thrd stand (Fg. 3). Optmzed rollng mode characterzng by more ntensve use of the resource of plastcty, whle there s no complete exhauston of t (Fg. 4). More ntensve use of plastcty resource, on the one hand postvely affects rollng out of surface defects, on the other hand there s the danger of the plastcty resource exhauston, whch can lead to the destructon of the strp n the deformaton. At last stand the fnal formaton of the strp surface occurs, hence, reducng the length of forward slp zone has a postve mpact on reducng the defect formaton durng rollng (Fg. 5). CONCLUSIONS Fg. 5. Forward slp zone length. After optmzaton of crteron selectng, determnng the technologcal and mathematcal formulaton of the optmzaton problem and the formulaton of restrctons we proposed an optmzaton program of cold rollng. An equaton of the relatonshp of compresson, tenson and frcton coeffcent was obtaned. From the resultng equaton t s mpled that an ncrease n the total relatve reducton ε frcton coeffcent and front specfc tenson q 1 current relatve depth of defect δ / h s reducng,.е. defect f rollng out. Reverse effect on δ / h provdng back tenson q 0. The ncrease of the ntal relatve depth of the defect δ 0 / h0 naturally ncreases δ / h, thus the rsk of defect development on tear rses. The purpose of the rollng mode accordng to the obtaned equaton provdes the rollng process wthout exceedng the allowable values of the power param eters and the degree of use of the resource of plastcty. An optmzaton of modes of cold rollng mll 1700 was conducted. Optmzaton of the rollng mode was calculated by mnmzng the length of the forward slp zone of the last stand, ths s due to the fact that n ths stand the fnal formaton of the strp surface occurs. Comparson of workshop and optmzed modes showed that the power parameters of the rollng do not exceed the maxmum permssble values. Reducng the length of the forward slp zone of the last stand has a postve effect on reducng the defects formaton, because durng fnal formaton of the strp surface n ths zone stress of frcton s drected aganst the course of rollng, so the removal from the deformaton zone of the products of decomposton and deteroraton s dffcult. The results of the optmzaton calculatons showed that ncreasng the front tenson and relatve compresson sgnfcantly reduce rollng force and rollng power, except for stand No. 3.It should be noted that DURP ncreases. In the fourth and ffth stands and workshop and optmzed modes DURP do not reach the crtcal value of 1.0. Wth regard to the target functon, accordng to optmzed mode the length of the forward slp zone l 2 n the frst two stands s hgher than the workshop varant (for the frst stand: shop opt l 2 = 6.7 mm and l 2 = 7.37 mm; for the second shop opt stand: l 2 = 4.37 mm and l 2 = 4.79 mm), n the subsequent thrd and fourth stands close by value (4.4 mm and 4.5 mm). The most mportant pont n the optmzaton of the rollng mode s consdered a sharp decrease of the length of the forward slp zone n the ffth stand up to the value of mm (at workshop mode the value of the forward slp zone n the ffth stand s 5.29 mm). Thus, t s possble to consder that optmzaton of the rollng mode s to reduce the defect formaton durng rollng approprate. REFERENCES 1. А.N. Skorohodov, P.I. Poluhn, B.M. Ilyukovch, B.Е.Haykn, N.Е. Skorohodov, Optmzaton of rollng producton, Metallurgy, 1983, p. 432, (n Russan). 2. G.L. Hmch, М.B.Tsalyuk, Optmzaton of modes of cold rollng on a dgtal computer, Metallurgy, 1973, p. 256, (n Russan). 642
6 Abdrakhman Nazabekov, Vtaly Talmazan, Sergey Lezhnev, Zhuman Amanzholov, Аlmas Erzhanov 3. S. Roberts, Dynamc programmng n the processes of chemcal technology and management methods, Mr, 1965, p. 488, (n Russan). 4. E.А. Garber, E.N. Shebants, Е.V. Dlgensky, О.А. Pobegalo, N.P. Medvedev, Optmzaton of the structure of the deformaton zone on the mll 1700, Steel, 2007, 1, 4850, (n Russan). 5. А.А. Bogatov,The mechancal propertes and fracture models of metals, SEIHPEUSТUUPI, 2002, p. 329, (n Russan). 6. А.P. Grudev, Theory of rollng, Intermet engneerng, 2001, p. 280, (n Russan). 7. А.А. Korolev, Desgn and calculaton of the rollng mlls machnery, Metallurgy, 1985, p. 376, (n Russan). 8. Yu.N. Kuznetsov, V.I. Kuzubov, А.B. Voloschenko, Mathematcal programmng, Hghschool, 1980, p. 300, (n Russan). 9. I.L. Akulch, Mathematcal programmng n examples and problems, Hghschool, 1986, p. 319, (n Russan). 643
An MILP model for planning of batch plants operating in a campaignmode
An MILP model for plannng of batch plants operatng n a campagnmode Yanna Fumero Insttuto de Desarrollo y Dseño CONICET UTN yfumero@santafeconcet.gov.ar Gabrela Corsano Insttuto de Desarrollo y Dseño
More informationANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING
ANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING Matthew J. Lberatore, Department of Management and Operatons, Vllanova Unversty, Vllanova, PA 19085, 6105194390,
More informationDamage detection in composite laminates using cointap method
Damage detecton n composte lamnates usng contap method S.J. Km Korea Aerospace Research Insttute, 45 EoeunDong, YouseongGu, 35333 Daejeon, Republc of Korea yaeln@kar.re.kr 45 The contap test has the
More informationA hybrid global optimization algorithm based on parallel chaos optimization and outlook algorithm
Avalable onlne www.ocpr.com Journal of Chemcal and Pharmaceutcal Research, 2014, 6(7):18841889 Research Artcle ISSN : 09757384 CODEN(USA) : JCPRC5 A hybrd global optmzaton algorthm based on parallel
More informationOn the Optimal Control of a Cascade of HydroElectric Power Stations
On the Optmal Control of a Cascade of HydroElectrc Power Statons M.C.M. Guedes a, A.F. Rbero a, G.V. Smrnov b and S. Vlela c a Department of Mathematcs, School of Scences, Unversty of Porto, Portugal;
More informationProject Networks With MixedTime Constraints
Project Networs Wth MxedTme Constrants L Caccetta and B Wattananon Western Australan Centre of Excellence n Industral Optmsaton (WACEIO) Curtn Unversty of Technology GPO Box U1987 Perth Western Australa
More informationAn Alternative Way to Measure Private Equity Performance
An Alternatve Way to Measure Prvate Equty Performance Peter Todd Parlux Investment Technology LLC Summary Internal Rate of Return (IRR) s probably the most common way to measure the performance of prvate
More informationModule 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur
Module LOSSLESS IMAGE COMPRESSION SYSTEMS Lesson 3 Lossless Compresson: Huffman Codng Instructonal Objectves At the end of ths lesson, the students should be able to:. Defne and measure source entropy..
More informationbenefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).
REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or
More informationInstitute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic
Lagrange Multplers as Quanttatve Indcators n Economcs Ivan Mezník Insttute of Informatcs, Faculty of Busness and Management, Brno Unversty of TechnologCzech Republc Abstract The quanttatve role of Lagrange
More informationRisk Model of LongTerm Production Scheduling in Open Pit Gold Mining
Rsk Model of LongTerm Producton Schedulng n Open Pt Gold Mnng R Halatchev 1 and P Lever 2 ABSTRACT Open pt gold mnng s an mportant sector of the Australan mnng ndustry. It uses large amounts of nvestments,
More information"Research Note" APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES *
Iranan Journal of Scence & Technology, Transacton B, Engneerng, ol. 30, No. B6, 789794 rnted n The Islamc Republc of Iran, 006 Shraz Unversty "Research Note" ALICATION OF CHARGE SIMULATION METHOD TO ELECTRIC
More informationThe Development of Web Log Mining Based on ImproveKMeans Clustering Analysis
The Development of Web Log Mnng Based on ImproveKMeans Clusterng Analyss TngZhong Wang * College of Informaton Technology, Luoyang Normal Unversty, Luoyang, 471022, Chna wangtngzhong2@sna.cn Abstract.
More informationNumber of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000
Problem Set 5 Solutons 1 MIT s consderng buldng a new car park near Kendall Square. o unversty funds are avalable (overhead rates are under pressure and the new faclty would have to pay for tself from
More informationA DYNAMIC CRASHING METHOD FOR PROJECT MANAGEMENT USING SIMULATIONBASED OPTIMIZATION. Michael E. Kuhl Radhamés A. TolentinoPeña
Proceedngs of the 2008 Wnter Smulaton Conference S. J. Mason, R. R. Hll, L. Mönch, O. Rose, T. Jefferson, J. W. Fowler eds. A DYNAMIC CRASHING METHOD FOR PROJECT MANAGEMENT USING SIMULATIONBASED OPTIMIZATION
More informationFeature selection for intrusion detection. Slobodan Petrović NISlab, Gjøvik University College
Feature selecton for ntruson detecton Slobodan Petrovć NISlab, Gjøvk Unversty College Contents The feature selecton problem Intruson detecton Traffc features relevant for IDS The CFS measure The mrmr measure
More informationIMPACT ANALYSIS OF A CELLULAR PHONE
4 th ASA & μeta Internatonal Conference IMPACT AALYSIS OF A CELLULAR PHOE We Lu, 2 Hongy L Bejng FEAonlne Engneerng Co.,Ltd. Bejng, Chna ABSTRACT Drop test smulaton plays an mportant role n nvestgatng
More informationChapter 4 ECONOMIC DISPATCH AND UNIT COMMITMENT
Chapter 4 ECOOMIC DISATCH AD UIT COMMITMET ITRODUCTIO A power system has several power plants. Each power plant has several generatng unts. At any pont of tme, the total load n the system s met by the
More informationPowerofTwo Policies for Single Warehouse MultiRetailer Inventory Systems with Order Frequency Discounts
Powerofwo Polces for Sngle Warehouse MultRetaler Inventory Systems wth Order Frequency Dscounts José A. Ventura Pennsylvana State Unversty (USA) Yale. Herer echnon Israel Insttute of echnology (Israel)
More informationResearch Article Enhanced TwoStep Method via Relaxed Order of αsatisfactory Degrees for Fuzzy Multiobjective Optimization
Hndaw Publshng Corporaton Mathematcal Problems n Engneerng Artcle ID 867836 pages http://dxdoorg/055/204/867836 Research Artcle Enhanced TwoStep Method va Relaxed Order of αsatsfactory Degrees for Fuzzy
More informationCommunication Networks II Contents
8 / 1  Communcaton Networs II (Görg)  www.comnets.unbremen.de Communcaton Networs II Contents 1 Fundamentals of probablty theory 2 Traffc n communcaton networs 3 Stochastc & Marovan Processes (SP
More informationSimulation and optimization of supply chains: alternative or complementary approaches?
Smulaton and optmzaton of supply chans: alternatve or complementary approaches? Chrstan Almeder Margaretha Preusser Rchard F. Hartl Orgnally publshed n: OR Spectrum (2009) 31:95 119 DOI 10.1007/s002910070118z
More informationRobust Design of Public Storage Warehouses. Yeming (Yale) Gong EMLYON Business School
Robust Desgn of Publc Storage Warehouses Yemng (Yale) Gong EMLYON Busness School Rene de Koster Rotterdam school of management, Erasmus Unversty Abstract We apply robust optmzaton and revenue management
More informationActivity Scheduling for CostTime Investment Optimization in Project Management
PROJECT MANAGEMENT 4 th Internatonal Conference on Industral Engneerng and Industral Management XIV Congreso de Ingenería de Organzacón Donosta San Sebastán, September 8 th 10 th 010 Actvty Schedulng
More information2008/8. An integrated model for warehouse and inventory planning. Géraldine Strack and Yves Pochet
2008/8 An ntegrated model for warehouse and nventory plannng Géraldne Strack and Yves Pochet CORE Voe du Roman Pays 34 B1348 LouvanlaNeuve, Belgum. Tel (32 10) 47 43 04 Fax (32 10) 47 43 01 Emal: corestatlbrary@uclouvan.be
More informationAnts Can Schedule Software Projects
Ants Can Schedule Software Proects Broderck Crawford 1,2, Rcardo Soto 1,3, Frankln Johnson 4, and Erc Monfroy 5 1 Pontfca Unversdad Católca de Valparaíso, Chle FrstName.Name@ucv.cl 2 Unversdad Fns Terrae,
More informationUsing Series to Analyze Financial Situations: Present Value
2.8 Usng Seres to Analyze Fnancal Stuatons: Present Value In the prevous secton, you learned how to calculate the amount, or future value, of an ordnary smple annuty. The amount s the sum of the accumulated
More informationDEFINING %COMPLETE IN MICROSOFT PROJECT
CelersSystems DEFINING %COMPLETE IN MICROSOFT PROJECT PREPARED BY James E Aksel, PMP, PMISP, MVP For Addtonal Informaton about Earned Value Management Systems and reportng, please contact: CelersSystems,
More informationOptimal Bidding Strategies for Generation Companies in a DayAhead Electricity Market with Risk Management Taken into Account
Amercan J. of Engneerng and Appled Scences (): 86, 009 ISSN 94700 009 Scence Publcatons Optmal Bddng Strateges for Generaton Companes n a DayAhead Electrcty Market wth Rsk Management Taken nto Account
More informationCredit Limit Optimization (CLO) for Credit Cards
Credt Lmt Optmzaton (CLO) for Credt Cards Vay S. Desa CSCC IX, Ednburgh September 8, 2005 Copyrght 2003, SAS Insttute Inc. All rghts reserved. SAS Propretary Agenda Background Tradtonal approaches to credt
More informationA method for a robust optimization of joint product and supply chain design
DOI 10.1007/s1084501409085 A method for a robust optmzaton of jont product and supply chan desgn Bertrand BaudLavgne Samuel Bassetto Bruno Agard Receved: 10 September 2013 / Accepted: 21 March 2014
More informationRiskbased Fatigue Estimate of Deep Water Risers  Course Project for EM388F: Fracture Mechanics, Spring 2008
Rskbased Fatgue Estmate of Deep Water Rsers  Course Project for EM388F: Fracture Mechancs, Sprng 2008 Chen Sh Department of Cvl, Archtectural, and Envronmental Engneerng The Unversty of Texas at Austn
More informationEnabling P2P Oneview Multiparty Video Conferencing
Enablng P2P Onevew Multparty Vdeo Conferencng Yongxang Zhao, Yong Lu, Changja Chen, and JanYn Zhang Abstract MultParty Vdeo Conferencng (MPVC) facltates realtme group nteracton between users. Whle P2P
More informationAllocating Time and Resources in Project Management Under Uncertainty
Proceedngs of the 36th Hawa Internatonal Conference on System Scences  23 Allocatng Tme and Resources n Project Management Under Uncertanty Mark A. Turnqust School of Cvl and Envronmental Eng. Cornell
More informationImplementation of Deutsch's Algorithm Using Mathcad
Implementaton of Deutsch's Algorthm Usng Mathcad Frank Roux The followng s a Mathcad mplementaton of Davd Deutsch's quantum computer prototype as presented on pages  n "Machnes, Logc and Quantum Physcs"
More information8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by
6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng
More informationRate Monotonic (RM) Disadvantages of cyclic. TDDB47 Real Time Systems. Lecture 2: RM & EDF. Prioritybased scheduling. States of a process
Dsadvantages of cyclc TDDB47 Real Tme Systems Manual scheduler constructon Cannot deal wth any runtme changes What happens f we add a task to the set? RealTme Systems Laboratory Department of Computer
More informationJ. Parallel Distrib. Comput.
J. Parallel Dstrb. Comput. 71 (2011) 62 76 Contents lsts avalable at ScenceDrect J. Parallel Dstrb. Comput. journal homepage: www.elsever.com/locate/jpdc Optmzng server placement n dstrbuted systems n
More informationAnswer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy
4.02 Quz Solutons Fall 2004 MultpleChoce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multplechoce questons. For each queston, only one of the answers s correct.
More information1 Approximation Algorithms
CME 305: Dscrete Mathematcs and Algorthms 1 Approxmaton Algorthms In lght of the apparent ntractablty of the problems we beleve not to le n P, t makes sense to pursue deas other than complete solutons
More informationCHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol
CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK Sample Stablty Protocol Background The Cholesterol Reference Method Laboratory Network (CRMLN) developed certfcaton protocols for total cholesterol, HDL
More informationAN APPOINTMENT ORDER OUTPATIENT SCHEDULING SYSTEM THAT IMPROVES OUTPATIENT EXPERIENCE
AN APPOINTMENT ORDER OUTPATIENT SCHEDULING SYSTEM THAT IMPROVES OUTPATIENT EXPERIENCE YuL Huang Industral Engneerng Department New Mexco State Unversty Las Cruces, New Mexco 88003, U.S.A. Abstract Patent
More informationA Secure PasswordAuthenticated Key Agreement Using Smart Cards
A Secure PasswordAuthentcated Key Agreement Usng Smart Cards Ka Chan 1, WenChung Kuo 2 and JnChou Cheng 3 1 Department of Computer and Informaton Scence, R.O.C. Mltary Academy, Kaohsung 83059, Tawan,
More informationSoftware project management with GAs
Informaton Scences 177 (27) 238 241 www.elsever.com/locate/ns Software project management wth GAs Enrque Alba *, J. Francsco Chcano Unversty of Málaga, Grupo GISUM, Departamento de Lenguajes y Cencas de
More informationPeriod and Deadline Selection for Schedulability in RealTime Systems
Perod and Deadlne Selecton for Schedulablty n RealTme Systems Thdapat Chantem, Xaofeng Wang, M.D. Lemmon, and X. Sharon Hu Department of Computer Scence and Engneerng, Department of Electrcal Engneerng
More informationL10: Linear discriminants analysis
L0: Lnear dscrmnants analyss Lnear dscrmnant analyss, two classes Lnear dscrmnant analyss, C classes LDA vs. PCA Lmtatons of LDA Varants of LDA Other dmensonalty reducton methods CSCE 666 Pattern Analyss
More informationThe OC Curve of Attribute Acceptance Plans
The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4
More informationStudy on Model of Risks Assessment of Standard Operation in Rural Power Network
Study on Model of Rsks Assessment of Standard Operaton n Rural Power Network Qngj L 1, Tao Yang 2 1 Qngj L, College of Informaton and Electrcal Engneerng, Shenyang Agrculture Unversty, Shenyang 110866,
More informationA Simple Approach to Clustering in Excel
A Smple Approach to Clusterng n Excel Aravnd H Center for Computatonal Engneerng and Networng Amrta Vshwa Vdyapeetham, Combatore, Inda C Rajgopal Center for Computatonal Engneerng and Networng Amrta Vshwa
More informationOmega 39 (2011) 313 322. Contents lists available at ScienceDirect. Omega. journal homepage: www.elsevier.com/locate/omega
Omega 39 (2011) 313 322 Contents lsts avalable at ScenceDrect Omega journal homepage: www.elsever.com/locate/omega Supply chan confguraton for dffuson of new products: An ntegrated optmzaton approach Mehd
More informationMultiplePeriod Attribution: Residuals and Compounding
MultplePerod Attrbuton: Resduals and Compoundng Our revewer gave these authors full marks for dealng wth an ssue that performance measurers and vendors often regard as propretary nformaton. In 1994, Dens
More informationCalculating the high frequency transmission line parameters of power cables
< ' Calculatng the hgh frequency transmsson lne parameters of power cables Authors: Dr. John Dcknson, Laboratory Servces Manager, N 0 RW E B Communcatons Mr. Peter J. Ncholson, Project Assgnment Manager,
More informationSupport Vector Machines
Support Vector Machnes Max Wellng Department of Computer Scence Unversty of Toronto 10 Kng s College Road Toronto, M5S 3G5 Canada wellng@cs.toronto.edu Abstract Ths s a note to explan support vector machnes.
More informationThe covariance is the two variable analog to the variance. The formula for the covariance between two variables is
Regresson Lectures So far we have talked only about statstcs that descrbe one varable. What we are gong to be dscussng for much of the remander of the course s relatonshps between two or more varables.
More informationNumerical Analysis of the Natural Gas Combustion Products
Energy and Power Engneerng, 2012, 4, 353357 http://dxdoorg/104236/epe201245046 Publshed Onlne September 2012 (http://wwwscrporg/journal/epe) Numercal Analyss of the Natural Gas Combuston Products Fernando
More information1. Fundamentals of probability theory 2. Emergence of communication traffic 3. Stochastic & Markovian Processes (SP & MP)
6.3 /  Communcaton Networks II (Görg) SS20  www.comnets.unbremen.de Communcaton Networks II Contents. Fundamentals of probablty theory 2. Emergence of communcaton traffc 3. Stochastc & Markovan Processes
More informationTesting and Debugging Resource Allocation for Fault Detection and Removal Process
Internatonal Journal of New Computer Archtectures and ther Applcatons (IJNCAA) 4(4): 9300 The Socety of Dgtal Informaton and Wreless Communcatons, 04 (ISSN: 09085) Testng and Debuggng Resource Allocaton
More informationSolution: Let i = 10% and d = 5%. By definition, the respective forces of interest on funds A and B are. i 1 + it. S A (t) = d (1 dt) 2 1. = d 1 dt.
Chapter 9 Revew problems 9.1 Interest rate measurement Example 9.1. Fund A accumulates at a smple nterest rate of 10%. Fund B accumulates at a smple dscount rate of 5%. Fnd the pont n tme at whch the forces
More informationAnalysis of Reactivity Induced Accident for Control Rods Ejection with Loss of Cooling
Analyss of Reactvty Induced Accdent for Control Rods Ejecton wth Loss of Coolng Hend Mohammed El Sayed Saad 1, Hesham Mohammed Mohammed Mansour 2 Wahab 1 1. Nuclear and Radologcal Regulatory Authorty,
More informationgreatest common divisor
4. GCD 1 The greatest common dvsor of two ntegers a and b (not both zero) s the largest nteger whch s a common factor of both a and b. We denote ths number by gcd(a, b), or smply (a, b) when there s no
More informationStudy on CET4 Marks in China s Graded English Teaching
Study on CET4 Marks n Chna s Graded Englsh Teachng CHE We College of Foregn Studes, Shandong Insttute of Busness and Technology, P.R.Chna, 264005 Abstract: Ths paper deploys Logt model, and decomposes
More informationBERNSTEIN POLYNOMIALS
OnLne Geometrc Modelng Notes BERNSTEIN POLYNOMIALS Kenneth I. Joy Vsualzaton and Graphcs Research Group Department of Computer Scence Unversty of Calforna, Davs Overvew Polynomals are ncredbly useful
More informationCausal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting
Causal, Explanatory Forecastng Assumes causeandeffect relatonshp between system nputs and ts output Forecastng wth Regresson Analyss Rchard S. Barr Inputs System Cause + Effect Relatonshp The job of
More informationExtending Probabilistic Dynamic Epistemic Logic
Extendng Probablstc Dynamc Epstemc Logc Joshua Sack May 29, 2008 Probablty Space Defnton A probablty space s a tuple (S, A, µ), where 1 S s a set called the sample space. 2 A P(S) s a σalgebra: a set
More informationPOLYSA: A Polynomial Algorithm for Nonbinary Constraint Satisfaction Problems with and
POLYSA: A Polynomal Algorthm for Nonbnary Constrant Satsfacton Problems wth and Mguel A. Saldo, Federco Barber Dpto. Sstemas Informátcos y Computacón Unversdad Poltécnca de Valenca, Camno de Vera s/n
More informationDynamic Constrained Economic/Emission Dispatch Scheduling Using Neural Network
Dynamc Constraned Economc/Emsson Dspatch Schedulng Usng Neural Network Fard BENHAMIDA 1, Rachd BELHACHEM 1 1 Department of Electrcal Engneerng, IRECOM Laboratory, Unversty of Djllal Labes, 220 00, Sd Bel
More informationTime Domain simulation of PD Propagation in XLPE Cables Considering Frequency Dependent Parameters
Internatonal Journal of Smart Grd and Clean Energy Tme Doman smulaton of PD Propagaton n XLPE Cables Consderng Frequency Dependent Parameters We Zhang a, Jan He b, Ln Tan b, Xuejun Lv b, HongJe L a *
More informationLogistic Regression. Lecture 4: More classifiers and classes. Logistic regression. Adaboost. Optimization. Multiple class classification
Lecture 4: More classfers and classes C4B Machne Learnng Hlary 20 A. Zsserman Logstc regresson Loss functons revsted Adaboost Loss functons revsted Optmzaton Multple class classfcaton Logstc Regresson
More informationCan Auto Liability Insurance Purchases Signal Risk Attitude?
Internatonal Journal of Busness and Economcs, 2011, Vol. 10, No. 2, 159164 Can Auto Lablty Insurance Purchases Sgnal Rsk Atttude? ChuShu L Department of Internatonal Busness, Asa Unversty, Tawan ShengChang
More informationNonlinear data mapping by neural networks
Nonlnear data mappng by neural networks R.P.W. Dun Delft Unversty of Technology, Netherlands Abstract A revew s gven of the use of neural networks for nonlnear mappng of hgh dmensonal data on lower dmensonal
More informationPreventive Maintenance and Replacement Scheduling: Models and Algorithms
Preventve Mantenance and Replacement Schedulng: Models and Algorthms By Kamran S. Moghaddam B.S. Unversty of Tehran 200 M.S. Tehran Polytechnc 2003 A Dssertaton Proposal Submtted to the Faculty of the
More informationCOMPARATIVE ANALYSIS OF FRONTAL ZONE OF DEFORMATION IN VEHICLES WITH SELFSUPPORTING AND FRAMED BODIES
Journal of KONES Powertran and Transport, Vol. 18, No. 4 2011 COMPARATIVE ANALYSIS OF FRONTAL ZONE OF DEFORMATION IN VEHICLES WITH SELFSUPPORTING AND FRAMED BODIES Leon Prochowsk, Andrzej uchowsk Mltary
More informationOptimal Scheduling in the HybridCloud
Optmal Schedulng n the HybrdCloud Mark Shfrn Faculty of Electrcal Engneerng Technon, Israel Emal: shfrn@tx.technon.ac.l Ram Atar Faculty of Electrcal Engneerng Technon, Israel Emal: atar@ee.technon.ac.l
More informationNEUROFUZZY INFERENCE SYSTEM FOR ECOMMERCE WEBSITE EVALUATION
NEUROFUZZY INFERENE SYSTEM FOR EOMMERE WEBSITE EVALUATION Huan Lu, School of Software, Harbn Unversty of Scence and Technology, Harbn, hna Faculty of Appled Mathematcs and omputer Scence, Belarusan State
More informationSOLVING CARDINALITY CONSTRAINED PORTFOLIO OPTIMIZATION PROBLEM BY BINARY PARTICLE SWARM OPTIMIZATION ALGORITHM
SOLVIG CARDIALITY COSTRAIED PORTFOLIO OPTIMIZATIO PROBLEM BY BIARY PARTICLE SWARM OPTIMIZATIO ALGORITHM Aleš Kresta Klíčová slova: optmalzace portfola, bnární algortmus rojení částc Key words: portfolo
More informationA Lyapunov Optimization Approach to Repeated Stochastic Games
PROC. ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING, OCT. 2013 1 A Lyapunov Optmzaton Approach to Repeated Stochastc Games Mchael J. Neely Unversty of Southern Calforna http://wwwbcf.usc.edu/
More informationMethod for Production Planning and Inventory Control in Oil
Memors of the Faculty of Engneerng, Okayama Unversty, Vol.41, pp.2030, January, 2007 Method for Producton Plannng and Inventory Control n Ol Refnery TakujImamura,MasamKonshandJunIma Dvson of Electronc
More informationSIMULATION OPTIMIZATION: APPLICATIONS IN RISK MANAGEMENT
Internatonal Journal of Informaton Technology & Decson Makng Vol. 7, No. 4 (2008) 571 587 c World Scentfc Publshng Company SIMULATION OPTIMIZATION: APPLICATIONS IN RISK MANAGEMENT MARCO BETTER and FRED
More informationTrafficlight a stress test for life insurance provisions
MEMORANDUM Date 006097 Authors Bengt von Bahr, Göran Ronge Traffclght a stress test for lfe nsurance provsons Fnansnspetonen P.O. Box 6750 SE113 85 Stocholm [Sveavägen 167] Tel +46 8 787 80 00 Fax
More informationSUPPLIER FINANCING AND STOCK MANAGEMENT. A JOINT VIEW.
SUPPLIER FINANCING AND STOCK MANAGEMENT. A JOINT VIEW. Lucía Isabel García Cebrán Departamento de Economía y Dreccón de Empresas Unversdad de Zaragoza Gran Vía, 2 50.005 Zaragoza (Span) Phone: 976761000
More informationFuzzy Set Approach To Asymmetrical Load Balancing In Distribution Networks
Fuzzy Set Approach To Asymmetrcal Load Balancng n Dstrbuton Networks Goran Majstrovc Energy nsttute Hrvoje Por Zagreb, Croata goran.majstrovc@ehp.hr Slavko Krajcar Faculty of electrcal engneerng and computng
More informationFrequency Selective IQ Phase and IQ Amplitude Imbalance Adjustments for OFDM Direct Conversion Transmitters
Frequency Selectve IQ Phase and IQ Ampltude Imbalance Adjustments for OFDM Drect Converson ransmtters Edmund Coersmeer, Ernst Zelnsk Noka, Meesmannstrasse 103, 44807 Bochum, Germany edmund.coersmeer@noka.com,
More information行 政 院 國 家 科 學 委 員 會 補 助 專 題 研 究 計 畫 成 果 報 告 期 中 進 度 報 告
行 政 院 國 家 科 學 委 員 會 補 助 專 題 研 究 計 畫 成 果 報 告 期 中 進 度 報 告 畫 類 別 : 個 別 型 計 畫 半 導 體 產 業 大 型 廠 房 之 設 施 規 劃 計 畫 編 號 :NSC 962628E009026MY3 執 行 期 間 : 2007 年 8 月 1 日 至 2010 年 7 月 31 日 計 畫 主 持 人 : 巫 木 誠 共 同
More informationLevel Annuities with Payments Less Frequent than Each Interest Period
Level Annutes wth Payments Less Frequent than Each Interest Perod 1 Annutymmedate 2 Annutydue Level Annutes wth Payments Less Frequent than Each Interest Perod 1 Annutymmedate 2 Annutydue Symoblc approach
More informationComparison of Control Strategies for Shunt Active Power Filter under Different Load Conditions
Comparson of Control Strateges for Shunt Actve Power Flter under Dfferent Load Condtons Sanjay C. Patel 1, Tushar A. Patel 2 Lecturer, Electrcal Department, Government Polytechnc, alsad, Gujarat, Inda
More informationCourse outline. Financial Time Series Analysis. Overview. Data analysis. Predictive signal. Trading strategy
Fnancal Tme Seres Analyss Patrck McSharry patrck@mcsharry.net www.mcsharry.net Trnty Term 2014 Mathematcal Insttute Unversty of Oxford Course outlne 1. Data analyss, probablty, correlatons, vsualsaton
More informationA GENETIC ALGORITHMBASED METHOD FOR CREATING IMPARTIAL WORK SCHEDULES FOR NURSES
82 Internatonal Journal of Electronc Busness Management, Vol. 0, No. 3, pp. 8293 (202) A GENETIC ALGORITHMBASED METHOD FOR CREATING IMPARTIAL WORK SCHEDULES FOR NURSES FengCheng Yang * and WeTng Wu
More informationInequality and The Accounting Period. Quentin Wodon and Shlomo Yitzhaki. World Bank and Hebrew University. September 2001.
Inequalty and The Accountng Perod Quentn Wodon and Shlomo Ytzha World Ban and Hebrew Unversty September Abstract Income nequalty typcally declnes wth the length of tme taen nto account for measurement.
More informationExhaustive Regression. An Exploration of RegressionBased Data Mining Techniques Using Super Computation
Exhaustve Regresson An Exploraton of RegressonBased Data Mnng Technques Usng Super Computaton Antony Daves, Ph.D. Assocate Professor of Economcs Duquesne Unversty Pttsburgh, PA 58 Research Fellow The
More informationLinear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
More informationPassive Filters. References: Barbow (pp 265275), Hayes & Horowitz (pp 3260), Rizzoni (Chap. 6)
Passve Flters eferences: Barbow (pp 6575), Hayes & Horowtz (pp 360), zzon (Chap. 6) Frequencyselectve or flter crcuts pass to the output only those nput sgnals that are n a desred range of frequences (called
More informationComplex Service Provisioning in Collaborative Cloud Markets
Melane Sebenhaar, Ulrch Lampe, Tm Lehrg, Sebastan Zöller, Stefan Schulte, Ralf Stenmetz: Complex Servce Provsonng n Collaboratve Cloud Markets. In: W. Abramowcz et al. (Eds.): Proceedngs of the 4th European
More informationResearch Article A Time Scheduling Model of Logistics Service Supply Chain with Mass Customized Logistics Service
Hndaw Publshng Corporaton Dscrete Dynamcs n Nature and Socety Volume 01, Artcle ID 48978, 18 pages do:10.1155/01/48978 Research Artcle A Tme Schedulng Model of Logstcs Servce Supply Chan wth Mass Customzed
More information10.2 Future Value and Present Value of an Ordinary Simple Annuity
348 Chapter 10 Annutes 10.2 Future Value and Present Value of an Ordnary Smple Annuty In compound nterest, 'n' s the number of compoundng perods durng the term. In an ordnary smple annuty, payments are
More informationThe Greedy Method. Introduction. 0/1 Knapsack Problem
The Greedy Method Introducton We have completed data structures. We now are gong to look at algorthm desgn methods. Often we are lookng at optmzaton problems whose performance s exponental. For an optmzaton
More informationForecasting the Direction and Strength of Stock Market Movement
Forecastng the Drecton and Strength of Stock Market Movement Jngwe Chen Mng Chen Nan Ye cjngwe@stanford.edu mchen5@stanford.edu nanye@stanford.edu Abstract  Stock market s one of the most complcated systems
More informationGrid Resource Selection Optimization with Guarantee Quality of Service by GAPSO
Australan Journal of Basc and Appled Scences, 5(11): 21392145, 2011 ISSN 19918178 Grd Resource Selecton Optmzaton wth Guarantee Qualty of Servce by GAPSO 1 Hossen Shrgah and 2 Nameh Danesh 1 Islamc Azad
More informationEducational Software for Economic Load Dispatch for Power Network of Thermal Units Considering Transmission Losses and Spinning Reserve Power
Educatonal Software for Economc Load Dspatch for ower Network of Thermal Unts Consderng Transmsson Losses and Spnnng Reserve ower Mohammad T. Amel Saed Moslehpour Massoud ourhassan ower and Water Unversty
More informationTo manage leave, meeting institutional requirements and treating individual staff members fairly and consistently.
Corporate Polces & Procedures Human Resources  Document CPP216 Leave Management Frst Produced: Current Verson: Past Revsons: Revew Cycle: Apples From: 09/09/09 26/10/12 09/09/09 3 years Immedately Authorsaton:
More informationWhen Network Effect Meets Congestion Effect: Leveraging Social Services for Wireless Services
When Network Effect Meets Congeston Effect: Leveragng Socal Servces for Wreless Servces aowen Gong School of Electrcal, Computer and Energy Engeerng Arzona State Unversty Tempe, AZ 8587, USA xgong9@asuedu
More information