Decision models of Multi Periods Closed Loop Supply Chain with Remanufacturing under Centralized and Decentralized Decision Making

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1 dvaed iee ad Tehology Lettes Vol. NGCIT htt://dx.doi.og/0.457/astl eisio models of Multi Peiods Closed Loo uly Chai ith Remaufatuig ude Cetalized ad eetalized eisio Makig JiagJu YUN eatmet of hagmao Zhejiag Tehial Istitute of Eoomis Hagzhou Zhejiag 300 Chia bstat. The losed-loo suly hais fo e oduts ad emaufatued oduts ude uetai demad ae studied. Cosideig the diffeees i osumes illigess to ay WTP fo e oduts ad emaufatued oduts the deisio models of multi-eiod losed-u suly hai ith emaufatuig ude etalized ad deetalized deisio makig ae established esetively ad otimal deisio of eah membe of the suly hai is obtaied. Though omaiso betee diffeees i the osumes WTP fo the to tyes of oduts thee losed-loo suly hais ae established ude the oditio of the govemet s ead ad uishmet mehaism. The game model ad umeial exeimet domiated by vaious maufatues ae elaboately aalyzed the iteest oodiatio mehaism is ofimed ith haley Value Method ad the model is solved ad disseted though umeial simulatio. The eseah esults sho thee is beefit loss ude deetalized deisio makig ad a edutio of middleme a effetively imove beefits of the suly hai. The beefits of losed-loo suly hai ith emaufatuig a be distibuted ith haley Value i a atioal ad effetive mae. Keyods: Closed-loo suly hai WTP iffeetiatio Closed-loo suly hai Remaufatuig Read ad uishmet mehaism Itodutio Cuetly as the otaditio betee global esoues ad eviomet ieasigly itesified outies i the old ut moe emhasis o sustaiable develomet ad iula eoomy ad have assed las suessively to ehae ad exted the aaeess ad esosibility fo eylig aste oduts []. The oeatio mode of losed-loo suly hai iooatig taditioal foad suly hai ad evese suly hai has beome the eseah hotsot i busiess iles ad aademi iles. eisio oblems of the taditioal suly hai belog to the deetalized deisio makig. Eah eteise makes the best deisios give the available ifomatio ithout ahievig Paeto otimal state. Mutual ooeatio amog eteises is eeded to ealize ofit maximizatio of the etie losed-loo suly hai system ad a easoable ad effetive iteest oodiatio mehaism IN: 7-33 TL Coyight 05 ERC

2 dvaed iee ad Tehology Lettes Vol. NGCIT 05 ill exet diet ifluee o the oeatio effiiey of losed-loo suly hai ude etalized deisio-makig. avaska oduted a game aalysis o oblem of the otimal hael stutue []. Wag Yuya studied the losed-loo suly hai omised of a sigle maufatue ad a exlusive etaile ad eseted a ofit shae mehaism distibuted by ootio of the system gai []. Late o Wag Yuya eseahed the oodiatio of losed-loo suly hai aimed at eylig mode of the thid aty eylable aste olleto hih shoed that a geate ooeatio amog isides of the losed-loo suly hai a big moe ofits though the hael [3]. heg Fagzheg disussed the atioal beefit alloatio method of to-ehelo suly hai iludig a sulie ad seveal etailes [4]. Wag Li ostuted the multi-dietioal ad iial-subodiate mode thee-ehelo suly hai ad uatitatively aalyzed the dosteam ooeatio ofit alloatio mehaism [5]. Model desig.. eisio-makig aalysis ude deetalized deisio makig Give the assumtios above usuit fo ofit maximizatio is set as the deisio goal fo membes of the suly hai ad the maufatue the distibute ad the etaile ostitute a thee-stage takelbeg Game. Fist of all the etaile ofims the otimal etail ie of e oduts ad emaufatued oduts ae ad i the light of the distibuto s holesale ie ad. The the distibuto detemies the holesale ie deedig o ode uatity of the etaile ad ex-fatoy ie of the maufatue. Fially the maufatue makes the best ex-fatoy ie ad aodig to ost of odutio ad ode uatity. O aout that the etaile meely makets the e oduts ad emaufatuig oduts the otimal deisio oblem of goss ofit R fo the etaile ithi to eiods is: max R Plug the demad futio i assumtio 3 ito the above euatio: max R Evaluate the fist-ode atial deivatives of ad i euatio make them eual to zeo ad get esose futio of the etaile about the holesale ie ad : 4 Coyight 05 ERC

3 Late o the distibuto sets the best holesale ie of oduts i lie ith the etaile s deisio-makig ad the goss ofit a be idiated by: s max ubstitute the demad futio ad the etaile s esose futio i assumtio 3 ito euatio evaluate the fist-ode atial deivatives of ad make them eual to zeo ad get the esose futio of distibuto about the ex-fatoy ie ad : t last the maufatue eyles ad emaufatues the e oduts ad EOL oduts o the basis of the distibuto s deisio-makig ad the goss ofits M a be idiated by: M max 3 imilaly lug the demad futio ad the distibuto s esose futio i assumtio 3 ito euatio 3 evaluate the fist-ode atial deivatives of ad θ make them eual to zeo the: 6 6 θ ubstitute the above euatio ito the distibuto s esose futio the: imilaly lug the above euatio ito the etaile s esose euatio the: Pofits of the maufatue the distibuto the etaile ad the etie losed-loo suly hai ith emaufatuig system a be futhe obtaied: M dvaed iee ad Tehology Lettes Vol. NGCIT 05 Coyight 05 ERC 5

4 dvaed iee ad Tehology Lettes Vol. NGCIT 05 4 R T ; 6 4. eisio-makig ude etalized deisio makig Ude deetalized deisio makig membes of the suly hai solely make a effot to maximize thei ofits i hih ase the hole suly hai may ot ahieve the ofit maximizatio. Ude etalized deisio makig model C the maufatue the distibuto ad the etaile ill make deisios as a hole to fulfill the deisio goal of maximizig total ofits of the emaufatuig losed-loo suly hai. Ude this iumstae the deisio oblem a be idiated by: C maxt 5 Plug the demad futio i assumtio 3 ito euatio 5 evaluate the fist-ode atial deivatives of ad ad make them eual to zeo the: 4 θ 4 ubstitute the euatio above ito euatio 5 ad auie ofits of the etie losed-loo suly hai ith emaufatuig: C T Iteest oodiatio mehaism Ude etalized deisio makig a easoable ad effetive iteest oodiatio mehaism is euied to lease eah membe of the suly hai. eause haley Value Method must be of the uiue solutio ad is easy to be uatitatively alulated it is most idely used i game theoy eoomis ad othe soial studies. Pofits of the losed-loo suly hai ith emaufatuig ill be alloated 6 Coyight 05 ERC

5 dvaed iee ad Tehology Lettes Vol. NGCIT 05 atioally ith haley Value Method i this ae. uose the ooeative game η N v heei N { } efes to a set of atiiats ad is a itege efeig to umbe of atiiats. is the subset of N ad efes to the alliae of atiiats i.e. N. v is a eigefutio eah alliae i N ats to oesod; v efes to the obtaiable utility he the membes i alliae ok togethe; v / i efes to the gettable utility he the membe i is emoved ude the ooeatio. haley Values fo obtaiable utility of eah atiiat ude the ooeatio N ae: ψ i v γ s v v / i i N i Wheei γ s s! s! /! ψ iv efes to the gettable utility of membe i ude the ooeatio N. 3 i the game model i this ae. The alliaes the maufatues atiiate i ae { M }{ M } { M R} ; the alliaes the distibutos atiiate i ae { }{ M } { R} { M R} ; the alliaes the etailes atiiate i ae { R }{ R} { M R}. O aout that maufatue M aot fom a alliae ith etaile R v { M R} ae the total ofits of maufatue M ad etaile R ude deetalized deisio-makig. Cetalized ad deetalized deisio-makig have bee disussed above ad o it omes to the aalysis o deisio-makig he the maufatue ad the distibuto ally ad the distibuto ad the etaile ally. 3 Colusios ased o diffeees of osumes WIP fo the e oduts ad the emaufatued oduts the otimal deisio-makig of membes of the suly hai ae esetively eseahed ude etalized ad deetalized deisio makig ith multi-eiod losed-loo suly hai ith emaufatuig as the objet of study. The beefits of etie losed-loo suly hai ith emaufatuig ae alloated ude etalized deisio-makig ith haley Value Method. The study esults idiate that etalized deisio-makig ude hih Paeto otimal state is ahieved is moe effiiet tha deetalized deisio-makig the edutio of middleme a effetively aise the ofits of membes of the suly hai ad the iteest oodiatio mehaism i vie of haley Value Method is aessible to eah membe of the losed-loo suly hai ith emaufatuig. ll i all the ead ad uishmet mehaism of govemet build o eylig ate is sueio to that based uo eylig amout. The above olusios a futio as a theoetial efeee fo deisio makes. The futue eseah ill futhe oe about membes i diffeet levels of the losed-loo suly hai the ifluee ules of ead ad uishmet mehaism of the govemet o suly hai ad the otimal deisio-makig of the etaile-domiated losed-loo suly hai. Coyight 05 ERC 7

6 dvaed iee ad Tehology Lettes Vol. NGCIT 05 Refeees. L. K. aul K. Q. Weibege J. H. Ham F. ha ad.. Lee. etal methods fo dimesioality edutio. emi-suevised Leaig. MIT Pess: Cambidge M 0.. V.. ilva ad. J. Teebaum. Global vesus loal methods i oliea dimesioality edutio. I dvaes i Neual Ifomatio Poessig ystems 5 ages MIT Pess Y. Geg J. Che K. Pahlava Motio detetio usig RF sigals fo the fist esode i emegey oeatios: PHER ojet 03 IEEE 4d Iteatioal ymosium o Pesoal Idoo ad Mobile Radio Commuiatios PIMRC Lodoitai e Y. Geg J. He K. Pahlava Modelig the Effet of Huma ody o TO ased Idoo Huma Takig[J] Iteatioal Joual of Wieless Ifomatio Netoks Coyight 05 ERC