A DEMAND INDEPENDENT INVENTORY MODEL

Transcription

1 Yugolv Journl of Oprion rc 23 23, Numbr, DO: 2298/YJO2272L A DEMAND NDEPENDEN NVENOY MODEL Jnnifr LN Dprmn of rnporion Logiic & Mrking Mngmn, oko Univri, iwn, O jnnifr592@oocomw Hnr HAO, Pron JULAN Dprmn of rffic Scinc, nrl Polic Univri, iwn, O un5@milcpuuw; un2@milcpuuw civ: Jnur 22 / Accp: Spmbr 22 Abrc: i ppr i n nion of Dng l 27 w publi in Europn Journl of Oprionl rc W v gnrliz ir mol from rmp p mn o rbirr poiiv mn wil oricll icovring n imporn pnomnon: opiml oluion i cull inpnn of mn poin ou b Wou 2, Hung 2 n Lin 2 W n ir invnor mol in wic rior r i n non-ngiv funcion n bcklog r i invrl linrl rl o wiing im Our fining will provi nw invnor m o lp ciion mkr ci opiml orring quni n rplnimn polic Kwor: nvnor mol, Drioring im, Prill bcklogg MS: 9B5 NODUON i ppr invig n invnor mol wi ock bginning n org llow, bu n prill bcklogg n nir im orizon, r i onl on orr plc bginning n bckorr r fill n i kin of invnor mol w fir propo b Hill [4], n n furr invig b Mnl n Pl [], Wu n Oung [5], n Dng l [3], Skouri l [], in wic mn i rmp p mn Morovr, w lo improv invnor mol of Wou [2], Yng l [9], Hung [5], n Lin [8] wi mor gnrl riorion r, bckorr r, n up co Dng [2] improv Mnl n Pl [] n Wu l

2 3 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol [3] o provi mor compl oluion procur Accoring o Mnl n Pl [], Wu n Oung [5], n Dng l [3], Wou [2] ui invnor mol from rmp p mn o n nonngiv funcion H provi n plnion, from mngril poin of viw, of riving opiml oluion wiou conrucing objciv funcion, wic rmicll implifi oluion rucur B on invnor mol of Mnl n Pl [], Wu n Oung [5] n Wu [4], Yng l [9] vlop n invnor mol in wic mn i n from rmp p mn o poiiv mn, owing opiml oluion i inpnn of mn p Owing o Mnl n Pl [], Wu n Oung [5], Dng l [3], n Skouri l [], Hung [5] rvi ir mol from pcil rmp p mn o gnrliz nonngiv funcion, wr rior r i n nonngiv funcion n bcklogg r n n r coniion o gurn inc of opiml oluion Lin [8] mn Dng l [3] n ng n Wng [] o conruc muli-prio invnor mol from rpzoil p mn o n poiiv funcion wi conn riorion n compl bckorr up co r inclu in invnor mol of ng n Wng [] n Lin [8] cnl, Lin l [7] u mool connc propr o implif oluion procur of Wu l [6] n n ppli ir pproc o Dng l [3] Hung [6] publi ppr o compr inrior locl minimum n bounr locl minimum o n uuri [9] vlop n EPLS mol wi vribl proucion r n mn pning on pric Wu l [7] ppli Nwon mo o loc opiml rplnimn polic for EPQ mol wi prn vlu Yv l [8] ui n invnor mol of rioring im wi wo wrou n ock pnn mn 2 ASSUMPONS AND NOAON W v gnrliz invnor mol of Mnl n Pl [], Wu n Oung [5], Dng l [3], Wou [2], Hung [5] n Lin [8] wi following umpion n noion for rminiic invnor rplnimn polic wi gnrl mn: rplnimn r i infini; u, rplnimn r innnou 2 l im i zro 3 i fini im orizon unr conirion W follow umpion of Dng l [3] n o lng of invnor mol qul o uni im 4 A i up co w propo b Lin [8] 5 i invnor oling co pr uni pr uni of im 6 i org co pr uni pr uni of im 7 i co of c rior im 8 l i opporuni co u o lo l pr uni 9 riorion i gnrliz from conn o nonngiv funcion, i on-n invnor lvl im ovr orring ccl [ ]

3 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol 3 Sorg i prill bcklogg wi bckorr r B wi For pcil c wi, B i full bcklogg c of Dng l [3] 2 mn r i um o b n poiiv funcion wi > for > 3 i im kn for invnor lvl o rc zro 4 i opiml oluion for 5 f i n uilir funcion fin f l 6 i ol co coni of up co, oling co, riorion co, opporuni co n org co 3 OU POPOSED NVENOY MODEL plnimn occur im wn invnor lvl in i mimum invnor lvl From o, invnor lvl ruc u o bo mn, n riorion A, invnor lvl civ zro, fr wic org r llow uring im inrvl,, n ll of mn uring org prio, r prill bcklogg invnor lvl of mol r crib b following quion: n n, < <, < < 2 W ircl olv Equion n 2 o g, for 3

4 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol 32, for 4 moun of rior im uring [ ], i vlu 5 Uing ingrion b pr, oling co uring [ ], i vlu 6 org co uring [ ], i vlu roug ingrion b pr 7 opporuni co for lo l i vlu l 8 rfor, ol co i um of invnor oling co, riorion co, org co, opporuni co n up co A l 2 9 From Equion 9, i follow l

5 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol 33 From Equion, w um n uilir funcion, f, follow f B king riviv of f, o riv l l f > 2 2 [ ] W know f l < 3 n f > W combin rul of quion 2-4 o impl f i n incring funcion from f < o f > uc r i n uniqu poin,, ifi 4 f 5 Bcu f < for <, rfor, <, for < < Similrl, bcu f > for <, rfor, >, for < < Hnc, cr for n incr for uc i minimum oluion W ummriz our fining in following orm npnn of Dmn orm: For invnor mol bginning wi ock, wr mn i poiiv funcion, wi gnrliz riorion n pril bcklog invrl proporionl o wiing im, minimum oluion ifi coniion f n i inpnn of mn

6 34 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol 4 NUMEAL EXAMPLES W provi r numricl mpl o monr our invnor mol n oluion procur wi following : mn 2 for ; riorion r for ; oling co 5 pr im pr uni im; co 2 5 pr im; org co 3 5 pr im pr uni im; opporuni co l 4 pr im; up co A 2 ; n r iffrn vlu of, for prouc wi lol cuomr, for im wi orinr cuomr 3, n mol wi impin cuomr W li compuion rul in n bl bl opiml rplnimn im n minimum co Lol cuomr c Orinr cuomr c mpin cuomr c From our numricl mpl, for r iffrn c, w v provi opiml rplnimn im n minimum co will lp rrcr olv invnor mol wi riorion im n prill bcklogging 5 ONLUSON W v noic n imporn pnomnon for on ccl fini im orizon invnor mol wr opiml oluion i inpnn of mn prn onqunl, ll complic oluion procur in Mnl n Pl [], Wu n Oung [5], Dng l [3], n Skouri l [] will b rnr unncr, lping rrcr rc furr inig ino kin of invnor mol EFEENES [] ng, M, n Wng, G, A no on invnor mol for rioring im wi rpzoil p mn r, ompur & nuril Enginring, [2] Dng, P S, mprov invnor mol wi rmp p mn n Wibull riorion, nrnionl Journl of nformion n Mngmn Scinc, [3] Dng, P S, Lin,, n u, P, A no on invnor mol for rioring im wi rmp p mn r, Europn Journl of Oprionl rc, [4] Hill, M, nvnor mol for incring mn follow b lvl mn, Journl of Oprionl rc Soci, [5] Hung, K, An invnor mol wi gnrliz p mn, riorion n bckorr r, Europn Journl of Oprionl rc,

7 J Lin, H o, n P Julin / A Dmn npnn nvnor Mol 35 [6] Hung, K, oninuou rviw invnor mol unr im vlu of mon n crbl l im conirion, Yugolv Journl of Oprion rc, [7] Lin, J, o, H J, n Julin, P, mprov oluion proc for invnor mol wi rmp p mn unr ock pnn conumpion r, Journl of in niu of nuril Enginr, [8] Lin, S W, nvnor mol wi mngril polic inpnn of mn, Europn Journl of Oprionl rc, [9] o,, n uuri, K S, An EPLS mol for vribl proucion r wi ockpric niiv mn n riorion, Yugolv Journl of Oprion rc, [] Skouri, K, Konnr,, Ppcrio, S, n Gn,, nvnor mol wi rmp p mn r, pril bcklogging n Wibull riorion r, Europn Journl of Oprionl rc, [] Mnl, B, n Pl, A K, Orr lvl invnor m wi rmp p mn r for rioring im, Journl of nriciplinr Mmic, [2] Wou, Y W, No on nvnor Mol wi Socic Dmn, 2, Pr, LNA 642, Springr-Vrlg, Brlin Hilbrg, [3] Wu, J W, Lin,, n, B, n L, W, An EOQ mol wi rmp p mn r for im wi Wibull riorion, nformion n Mngmn Scinc, [4] Wu, K S, An EOQ invnor mol for im wi Wibull iribuion riorion, rmp p mn r n pril bcklogging, Proucion Plnning n onrol, [5] Wu, K S, n Oung, L Y, A rplnimn polic for rioring im wi rmp p mn r, Procing of Nionl Scinc ouncil O A, [6] Wu, K S, Oung, L Y, n Yng,, 28, ilr opiml orring polic for rioring im wi rmp-p mn unr ock-pnn conumpion r, nrnionl Journl of nformion n Mngmn Scinc, [7] Wu, J K J, Li, H L, Jung, S, n u, P, Nwon mo for rmining opiml rplnimn polic for EPQ mol wi prn vlu, Yugolv Journl of Oprion rc, [8] Yv, D, Sing, S, n Kumri,, nvnor mol of rioring im wi wowrou n ock pnn mn uing gnic lgorim in fuzz nvironmn, Yugolv Journl of Oprion rc, [9] Yng, G K, Lin,, Lin, J, Hung, K, u, P, n ouung, W, No on invnor mol wi Wibull iribuion riorion, Proucion Plnning & onrol,