ֻ16जֻ3௹۽ြ۽ӱ 2013୍6ᄅJune2013IndustrialEngineeringJournaldoi: ໓ངѓᆽ:A ໓ᅣщݼ:1007-7375(2013)03-0038-07ADecentralizedSupplyChainSystemforDeterioratingItemswithCredit-LinkedDemandsandVaryingCreditPeriodTangQin-shen,ZhouYong-wu,ZhengQian-qian(SchoolofBusinessAdministration,SouthChinaUniversityofTechnology,Guangzhou510640,China)Abstract:Withexistinginventorymodelsfordeterioratingitemsundertradercredit,itwasassumedthatthecreditperiodMofferedbysupplierisfixed,orthatthedemandrateisconstantorprice-linked,,inreality,creditperiodNhasaneffectondemand,,especiallyforthosewholackmoneyatthattime,-linkeddemandsandwiththecreditperiodofferedbythesupplierdepen-dingonretailer',theproblemofdeterminingtheoptimalcreditperiodM,theoptimalordercycletimeT,andeconomicorderquantityQ,isdealtwithtomaximizeretailerandsupplier',,:credit-linkeddemand;inventorymodel;varyingcreditperiod ᄝԮ֥അြࠃބ९թ࣮ᇏ,ਬ൲അᄝࢤ൞ෛሢಆ౯ࣜ࠶၂ุ߄ӱ؇҂؎ᄹ఼,܂ႋഅა൬֞ࠊުྶ࣐ॹڱ۳܂ႋഅཌྷႋ֥ٮႨ,ط࣮܂ႋഅ、ਬ൲അაਬ൲അࡗ֥ࣩᆚэ֤۷ࡆࠗਛ。ᆀૌն؟ࡌഡਬ൲അᄝഅြࢌၞᇏ߶৫ࠧڱॻ。܂ႋഅູਔ་ႄ۷؟֥ਬ൲അרࠊބᄹࡆרࠊਈ,൬۠ರ௹:2012-09-15ࠎࣁཛଢ:ݓࡅሱಖ॓࿐ࠎࣁሧᇹཛଢ(71131003,71101002)ቔᆀࡥࢺ:ณധ(1990-),ଳ,ܼתസದ,ණൖ࣮ള,ᇶေ࣮ٚཟູ܂ႋ৽ࣁವ、९թ॥ᇅაႪ߄.
ֻ3௹ณധ,ᇛႥༀ,ᆢዏዏ:э߄ྐႨ௹༯ၞэᇉٳ৫थҦ܂ႋ৽༢ 39ᄍྸਬ൲അ௹ڱॻ,۳Ⴭਬ൲അ၂ק֥ྐႨ௹,ᄝ֥౦ঃ,္ીႵޓݺֹٳ༅ԛרࠊਈაྐႨ௹ᆭྐႨ௹ଽ,ਬ൲അӊֹႚႵࠊ,ೂݔࡼࠊછࡗೂޅಒק֥ٚم。ପહ,ਬ൲അھೂޅथקרࠊԛ,ॖၛሉ౼၂ק֥ཧ൲০༏。طਬ൲അູਔ་ႄᇛ௹֤ሱ֥࠭০ቋն߄?ط܂ႋഅႻھೂޅ۴ܤग़,ᄹࡆཧਈ,္߶Ґ౼۳Ⴭܤग़၂קྐႨ௹֥Ҧऌਬ൲അ֥רܓਈ֥նཬটथק۳ਬ൲അ֥ྐႨ。ၹՎ,ᄝགྷᄝ֥അြࠃᇏ,അြྐႨϲဆሢᄀ௹֥Ӊ؇֤ሱ֥࠭০ቋն߄?[10]টᄀᇗေ֥ቔႨ。Ч໓ᄝHoChia-Huei֥ࠎԤഈ,ࡼఃঔᅚᇀႿՎ,࣮ᆀૌؓഅြྐႨ໙ีࣉྛਔնਈၞэᇉ֥౦ྙ。๙ݖॉ੮ྐႨ௹Nؓླ֥႕ཙ[1]֥࣮。HaleyބHigginsቋ༵࣮ਔ௹ڱॻᆃၛࠣקܓਈQؓྐႨ௹M֥႕ཙ,ࡹ৫ਔٳ၂གྷའ,ࡹ৫ਔಒקྟླ༯௹ڱॻ֥EOQଆ৫थҦ९թ༢֥ඔ࿐ଆ,๙ݖٳ༅ؓའ֥০,ଆᇏࡌקҀࠊิభ௹ބ҂ᄍྸಌࠊ,൞ቋն߄,Ⴈ࣍රูս֥ٚمಒקਔቋႪרܓᇛ௹T、௹ڱॻ௹ࡗႵཌྷႋ֥ӲـӮЧ,षఓਔᆃ၂࣮ਵቋႪרܓਈQၛࠣྐႨ௹M。ൈ,۳ԛਔٳ[2]თ֥ն。ෛު,Goyalࢲކൌ࠽,ࡹ৫ਔӲـ৫थҦ९թ༢ࢳ࣍රෘم。ቋުࣉྛਔඔᆴӮЧ֥௹ڱॻEOQଆ。ᄝࡌק܂ႋഅิ܂۳ٳ༅ބૹۋྟٳ༅টฐษބٳ༅ࡹ৫֥ଆ,ѩՖ[3][4]ਬ൲അ၂۱ྐႨ௹่֥ࡱ༯,Shin,Chung,Ja-ᇏ֤֞ਔ၂ུࢲંބܵఓൕ。[5][6]mal、SakerބWang,Jaber֩ؓଆࣉྛਔঔᅚ[7]1 ٳ৫थҦ༢ଆࡹ৫აฐ෬。HuangᄝՎࠎԤഈ,ࡼଆঔᅚ֞܂ႋഅ۳ਬ൲അ၂ק֥ྐႨ௹֥ൈ,ਬ൲അ္߶ཌྷႋֹ ژݼაభิࡌഡ۳Ⴭܤग़၂ק֥ྐႨ௹。ॉ੮֞ਬ൲അ۳Ⴭܤग़၂Ч໓ॉ੮ᄝרࠊᇛ௹Tଽ,ਬ൲അཟ܂ႋഅר[8]ק֥ྐႨ௹߶ؓླᄯӮ၂ק֥႕ཙ,SuބJag-ܓQֆ໊֥ࠊ。ਬ൲അ֥ҀࠊఓٮႨູK,Ҁ2[9]gi֩ࡹ৫ਔླაྐႨ௹ཌྷܱൈ֥ଆ。Hoࠊֆࡎބཧ൲ֆࡎٳљູCބp,tൈख़ਬ൲അ֥९s[10]Chia-HueiᆭުႻฐษਔࠢᇏथҦൈ,ླ൳ྐႨթඣູI(t),ૄֆ໊Ӂֆ໊ൈࡗ֥ӻࠊӮЧູ2௹ބࡎ۬႕ཙ༯֥ቋႪקࡎҦބቋႪרܓҦ。h,ֆ໊ൈࡗֆ໊ࣁح֥০༏ੱູI,܂ႋഅބਬ൲22e[11]GoyalބGiriϜഅٳӮၞݖൈ(obsoles-അ֥ሧࣁӮЧੱٳљູIބI。ࢤ֞רֆު,܂ႋ1p2pcence)、ၞэᇉ(deterioration)ބః。ॉ੮֞അഅၛPֆ໊Ӂૄֆ໊ൈࡗ֥ളӁੱࣉྛളӁ,ֆ֥൰ଁᇛ௹ބགྷൌളࠃᇏޓ؟അ֥ၞэᇉྟ,໊Ӂ֥ളӁٮႨູC,ളӁఓӮЧູK,ӻࠊ[12]p1GhareބSchrader൮༵࣮ਔၞэᇉ֥९թ໙ӮЧູh,tൈख़܂ႋഅ֥९թඣູI(t)。Վຓ,11ี。ૌᇿၩ֞ၞэᇉ֥९թඣބൈࡗӮᆷֆ໊Ӂ֥эᇉੱູθ0≤θ<1。܂ႋഅิ܂۳ඔܱ༢,֤ԛਔdI(t)/dt+θI(t)=-Dᆃ၂९թଆਬ൲അMֆ໊ൈࡗ֥ྐႨ௹,طਬ൲അᄵิ܂۳ܤ,षఓਔؓၞэᇉ९թҦ֥࣮ն。ؓႿ[13]ग़Nֆ໊֥ྐႨ௹。ၞэᇉ֥അြྐႨ໙ี,Shah,AggarwalބJag-[14][2]ࡌק 1)ᆺॉ੮ֆ۱܂ႋഅֆ۱ਬ൲അֆ၂ӁgiࡼGoyal֥ଆຉᅚ֞ਔၞэᇉ,֤ԛਔ܂֥ਆࠩ܂ႋ৽༢;2)҂ᄍྸಌࠊ;3)Ҁࠊิభႋഅ۳ਬ൲അ၂קྐႨ௹่ࡱ༯,ਬ൲അؓၞэᇉN[15]௹;4)൧ӆླੱູྐႨ௹N֥ݦඔD=A-ab,A֥ቋႪרࠊਈ。ࢤሢ,Jamal֩ࡼଆ֝[16]ູЎބླ,aބbູӈඔ,a>0,0<b<1;5)ളᇀᄍྸಌࠊ֥౦ঃ。JaggiބAggarwalႨDCF֥[17]ӁބᄎൻҦູ:ਬ൲അרܓQֆ໊֥ࠊ,܂ႋഅٚمࡼChung֥ଆࣉྛഥ,֤ԛਔഅြྐႨ[18]ၛP֥ֆ໊ൈࡗളӁି৯ࣉྛ܂۳,ѩ܂ႋഅ่֥ࡱ༯ၞэᇉ֥ቋႪרࠊਈ。Min֩ॉ੮ਔളӁᇛ௹ބਬ൲അ֥רܓᇛ௹ཌྷ֩。ਆࠩഅြྐႨ่ࡱ༯,ླ၇ঠႿ९թඣ֥ၞэ ଆࡹ৫ᇉ֥९թଆ,ٳ༅ਔ९թඣؓླ֥႕ཙ。[19] ਬ൲അ০ଆChang֩ࡼሧࣁ֥ൈࡗࡎᆴބླ၇ঠ९թඣႮ໓ང[2]ॖᆩਬ൲അᄝtൈख़֥९թඣႄೆଆ。θ(T-t)I(t)=D[e-1]/θ,ૄ۱ᇛ௹֥רࠊਈູQ=ಖطၛഈ෮Ⴕ֥໓ང൞ࡌק܂ႋഅิ܂۳ਬ2θT൲അ֥ྐႨ௹൞൙༵۳ק֥,ѩીႵॉ੮ਬ൲അרI(0)=D(e-1)/θ。ਬ൲അ֥০ູ2[20]ࠊਈؓྐႨ௹֥႕ཙ。ෙಖOuyang֩ॉ੮ਔTRP(T)=ཧ൲ح-רֆఓӮЧ-ܓઙӮЧ-ࠢᇏथҦྐႨ௹၇ঠႿרࠊਈӯགྷٳ؍ݦඔ֥౦ӻࠊӮЧ+ࠆ֤֥০༏-ࠏ߶ӮЧ。ঃ,൞ѩીႵॉ੮܂ႋഅބਬ൲അٳ৫थҦఃᇏ,ֆ໊ൈࡗ֥ཧ൲حູpD;רֆఓӮЧ
۽ ြ ۽ ӱֻ16ज 40θTູK/T;ܓઙӮЧູCD(e-1)/(θT);ӻࠊӮЧ2sθT2ູhD(e-θT-1)/(θT);۴ऌM、NބT֥౼ᆴࠆ2֤֥০༏ၛࠣࠏ߶ӮЧႵ3ᇕॖି֥౦ྙ:0≤T<M-N,M-N≤T<M,T≥M。౦ྙ1:0≤T<M-N(1)。ਬ൲അᄝᆦڱ܂ႋഅࠊॻൈࣼၘࡼࠊಆ҆છԛ,ѩႨ෮֤֥ࠊॻࠆ֤၂ק֥൬ၭ。ၹՎ,ਬ൲അીႵӵ൳ࠏ߶ӮЧ,ᄝࡗ[N,M]ၛI֥০ੱࠆ֤০༏pID(M-2e2eN-T/2)。౦ྙ2:M-N≤T<M(2)。ა౦ྙ1ཌྷб,Ԣ3 T≥Mൈ֥ਬ൲അ९թඣᄝࡗ[N,M]ࠆ֤၂קཧ൲ح֥০༏pID( Retailer'sinventorylevelwhenT≥M2N)/(2T)ᆭຓ,ᄝࡗ[M,T+N],ਬ൲അࡼၛI֥2p ၹՎ,ਬ൲അֆ໊ൈࡗ֥০ູ2০ੱӵ൳၂ק֥ࠏ߶ӮЧpID(T+N-M)/(2T)。2pTRP(T),0≤T<M-N;1౦ྙ3:T≥M(3),ა౦ྙ2҂֥൞,ԢਔTRP(T)=TRP(T),M-N≤T<M;2ᄝࡗ[T,T+N]ӵ൳၂ק֥ࠏ߶ӮЧၛࠣᄝࡗTRP(T),T≥M。23[N,M]ࠆ֤၂ק֥০༏pID(M-N)/(2T)ᆭຓ,2eఃᇏ,ᄝࡗ[M,T],ࡼႵ၂קਈ֥९թ。ᆃ҆ٳ९թࡼKCDhD2s2θTθTၛI֥০ੱӁള၂ק֥ࠏ߶ӮЧpIDN(2T+N-TRP(T)=pD--(e-1)-(e-2p2p12TθTθTθ(T-M)22M)/(2T)+CID[e-1]/(θT)-CID(T-s2ps2pTθT-1)+pID(M-N-),2eM)/(θT)。2KCDhD2sθT2θTTRP(T)=pD--(e-1)-(e-22TθTθT22pID(M-N)pID(T+N-M)2e2pθT-1)+-,2T2TKCDhD2sθT2θTTRP(T)=pD--(e-1)-(e-32TθTθT2pID(M-N)CID(T-M)2es2pθT-1)++-2TθTθ(T-M)CID[e-1]pIDN(2T+N-2M)s2p2p-。22TθT1 0≤T<M-Nൈ֥ਬ൲അ९թඣ ܂ႋഅ০ଆ Retailer'sinventorylevelwhen0≤T<M-Nᄝૄ۱ളӁᇛ௹,܂ႋഅၛPֆ໊Ӂૄֆ໊ൈࡗ֥ളӁ֥ੱളӁPTֆ໊֥Ӂ。ط܂ႋഅᄝൈࡗt֥९թඣડቀdI(t)/dt+θI(t)=P,0≤11t≤T,Վٚӱ֥шࢸ่ࡱູI(0)=0,I(T)=Q,ࢳ11-θtഈඍັٳٚӱႵ:I(t)=P(1-e)/θ=Q,ႻQ=1θT-θTI(0)=D(e-1)/θ,ᄵP=De。2ؓႿ܂ႋഅط,ၞᆩ,܂ႋഅ֥০ູTSP(M)=ཧ൲ح-ളӁఓӮЧ-ളӁӮЧ-ӻࠊӮЧ-ࠏ߶ӮЧ。ఃᇏ,ֆ໊ൈࡗ֥ཧ൲حູCQ/T;ളӁఓӮsθTЧູK/T;ളӁӮЧູCP=CDe;ӻࠊӮЧູ1pp-θTθT22 M-N≤T<Mൈ֥ਬ൲അ९թඣhD(e+θT-1)e/θT;ࠏ߶ӮЧູCIMQ/T。 Retailer'sinventorylevelwhenM-N≤T<MၹՎ,܂ႋഅֆ໊ൈࡗ֥০ູ
ֻ3௹ณധ,ᇛႥༀ,ᆢዏዏ:э߄ྐႨ௹༯ၞэᇉٳ৫थҦ܂ႋ৽༢ 41CDKᆣૼ ֒T=M-Nൈ,TRP(M-N)=TRP(M-sθT1θT12TSP(T,M)=(e-1)--CDe-pθTTN),֒T=Mൈ,ႵTRP(M)=TRP(M)。෮ၛ,ؓ23-θTθThD(e+θT-1)eCIMD1s1pθTႿၩ֥M,ਬ൲അ֥০ݦඔTRP(T)ܱႿרࠊᇛ-(e-1)。2θTθT௹T৵࿃。 ห২ק3 ؓႿၩܥק֥M,M>Nൈ֥3ো౦ॉ੮ྐႨ௹MބNनູ۳ק֥౦ঃ,֒θ→0ྙႵཌྷႋ֥࣍රཁൔࢳ。ൈ,ႮႿdTRP(T)/dT=0,i=1,2,3ൈ,֤҂֞ࢳiθTKhDT22༅ࢳ。֒θቀܔཬൈ,Ⴎীᅚषe≈1+θT+limTRP(T)=pD-CD--+1sθ→022T2θT/2,֤TCDθpID(M-N-),s2e2TRP(T)=pD+pID(M-N)-CD-T(+12es2KhDT22hDpIDKlimTRP(T)=pD-CD--+22e22sθ→0T2+)-,22T22pID(M-N)pID(T+N-M)2e2p-CDθ,s2T2TTRP(T)=pD+pID(M-N)-CD-T(+22ps2KhDT222hDpIDpID(M-N)limTRP(T)=pD-CD-+22p2e31sθ→0T2+)-[K-+222T22pID(M-N)pIDN(2T+N-2M)22e2p--pID(M-N)2p2T2T],22CID(T-M)s2pTRP(T)=pD+CIDM-pIDN-CD-,3s2p2ps2T2CDθhDCIDpID(M-N)[10]s2s2p2e1ބHoChia-Huei෮֤ଆ၂ᇁ。T(++)-[K-+2222T2֒ॉ੮רࠊ௹ඔູ၂௹၂ק,ളӁੱູЧ໓ࡌ2pIDN(N-2M)CIDM2ps2pקPൈ,+]。22KhDT11ႮTRP(T),i=1,2,3ܱႿT֥၂ࢨ่ࡱ֤࣍limTSP(T,M)=CD--CP--CIMD,isps1pθ→0T2රࢳ:[10]ၧაHoChia-Huei෮֤ଆ၂ᇁ。ၹՎ,HoChia-2K2Huei෮ඍ֥“ࡎ۬ބྐႨ௹नაླཌྷܱ֥ਆᇕඣT=,1CDθ+hD+pIDs22eྐႨ௹༯ቋႪ၂ุ߄९թҦ”൞Ч໓֥ห২。22K+pD(M-N)(I-I)22p2eT(M)=,22 ଆࢳაٳ༅CDθ+hD+pIDs22pT(M)=3ॉ੮ၛ܂ႋഅູᇶ֥֝StackelbergѰᒮ。Ѱᒮ222K+p(I-I)D(M-N)-(p-C)IDMඨູ:܂ႋഅ۳קྐႨ௹,ਬ൲അथҦቋႪҀࠊᇛ22p2es2p。CDθ+hD+CIDs2s2p௹ބቋႪרࠊਈ,ཟ܂ႋഅרࠊ。܂ႋഅࢤ֞ר2ഡΔ=2K-(CDθ+hD+pID)(M-N),ᄵֆު,۴ऌਬ൲അ֥ቋႪרࠊਈಒק۳ਬ൲അྐ12s22eႄ2 ؓႿܥק֥M,ႵႨ௹֥նཬ,ಖުؿࠊ。აՎൈ,܂ႋഅቆᆮളa)ೂݔΔ>0,ପહT=M-N൞֤TRP(T)Ӂ,ၛС༯၂Ҁࠊᇛ௹֥ਬ൲അ֥ླ。11ቋն߄֥ቋႪҀࠊᇛ௹。 ਬ൲അथҦb)ೂݔΔ≤0,ପહT=T൞֤TRP(T)ቋູਔᆣૼ০ݦඔ֥χྟ,༵ႄೆၛ༯ႄ。11122-θTն߄֥ቋႪҀࠊᇛ௹。ႄ1:ؓT>0,ႵθT-2θT+2-2e≥0。2ഡΔ=2K-(CDθ+hD+pID)M-pD(M-ᆣૼ。22s22p2ק1 ֒M>Nൈ,ᄝૄᇕ౦ྙᇏ,ਬ൲അ֥N)(I-I),ᄵ2p2e০ݦඔ൞ܱႿרࠊᇛ௹T֥χݦඔ。ᆣૼ。ႄ3 ؓႿၩܥקM,ק2 ؓႿၩ֥M,ਬ൲അ֥০ݦඔTRPa)ೂݔΔ<0,ପહT=M-N൞֤TRP(T)12(T)ܱႿרࠊᇛ௹T৵࿃。ቋն߄֥ቋႪҀࠊᇛ௹。
۽ ြ ۽ ӱֻ16ज 42b)ೂݔΔ>0,ପહT=M൞֤TRP(T)ቋCIMD22θT(M)s1pθT(M)33CDe-(e-1)-pT(M)ն߄֥ቋႪҀࠊᇛ௹。3-θT(M)θT(M)33c)ೂݔΔ≤0≤Δ,ପહT=T(M)൞֤TRPhD(e+θT(M)-1)e212213。2θT(M)(T)ቋն߄֥ቋႪҀࠊᇛ௹。3ႄა౦ྙ2ཌྷර,္ࡼࣉྛෘ২ٳ༅。4 ؓႿၩܥקM,Ⴕa)ೂݔΔ≥0,ପહT=T(M)൞֤TRP(T) ٳ৫थҦ༢ࢳෘم233ቋն߄֥ቋႪҀࠊᇛ௹。ሸކၛഈٳ༅,ॖၛ֤֞ೂ༯ٳ৫थҦ༢b)ೂݔΔ<0,ପહT=M൞֤TRP(T)ቋն֥ࢳෘم。23߄֥ቋႪҀࠊᇛ௹。1)ਬ൲അ۴ऌ൧ӆҕඔսೆTіղൔᇏ,֤iሸކႄ2ᇀ4,Ⴎק2০ݦඔܱႿרࠊᇛT(M),ಖުࡼT(M)ّঌ۳܂ႋഅ;ii௹T֥৵࿃ྟᇉ,ॖၛ֤ԛၛ༯ࢲં。2)܂ႋഅ۴ऌਬ൲അّঌ֥T(M),ࡼT(M)、iiႄ5 ؓႿၩܥקM,MսೆTSP(T(M),M)ᇏ,ࢳ֤TSP(T(M),iii**a)ೂݔΔ≤0,ପહT=T൞֤TRP(T)ቋ111M)ቋն֥M。ࡼMսೆT(M)ᇏ,֤෮Ⴕડiii***ն߄֥ቋႪҀࠊᇛ௹。ቀჿඏ่ࡱ֥T(M),ѩࡼM、T(M)ّঌ۳ਬiiiiib)ೂݔΔ≤0Δ>0,ପહT=T(M)൞֤212൲അ;TRP(T)ቋն߄֥ቋႪҀࠊᇛ௹。23)ਬ൲അᄜ۴ऌ܂ႋഅ෮ّঌ֥ྐႨ௹ಒקc)ೂݔΔ>0,ପહT=T(M)൞֤TRP(T)233רࠊਈ。ቋն߄֥ቋႪҀࠊᇛ௹。3 ෘ২ࠣૹۋྟٳ༅ ܂ႋഅथҦ౦ྙ1:Δ≤01ູਔ۷ݺֹඪૼଆ֥ॖྛྟაކྟ,ࡼࣉՎൈ,T=T൞֤TRP(T)ቋն߄֥ቋႪҀ11ྛೂ༯֥ෘ২ބૹۋྟٳ༅,ѩՖૹۋྟٳ༅ᇏ֤ࠊᇛ௹,൞TაMܱ,ᄵ1֞၂ུࢲં。ॉ੮ೂ༯ҕඔ֥܂ႋ৽༢,і1。CDKsθT1θT11TSP(T,M)=(e-1)--CDe-і1 ෘ২ҕඔ1pθTT11Table1 Numericalanalysisparameters-θTθT11hD(e+θT-1)eCIMD11s1pθT1-(e-1)。ҕඔݣၬژݼඔᆴ2θTθT11ളగఓٮႨK¦200/Ց1 ՎൈTSP(T,M)ູM֥־ࡨݦඔ,ၹՎ,M=1ֆ໊ൈࡗളӁੱP200ֆ໊ӁT+Nൈ,TSP(T,M)ॖ౼֤ቋնᆴ。1ളӁॖэӮЧC¦2/ֆ໊Ӂp౦ྙ2:Δ≤0Δ>021܂ႋഅሧࣁࠏ߶ӮЧੱ 1pՎൈT=T(M)൞֤TRP(T)ቋն߄֥ቋႪ22܂ႋഅӻࠊӮЧh¦171 Ҁࠊᇛ௹。ࡼT(M)սೆTRP(T,M)֤2ҀࠊఓٮႨK2¦150/Ց ൧ӆЎބླਈA200ֆ໊ӁCDKsθT(M)12TSP(T(M),M)=(e-1)--2ླૹۋࠎඔa80ֆ໊ӁT(M)T(M)22ླૹۋ༢ඔ CIMDs1pθT(M)θT(M)22CDe-(e-1)-pਬ൲അӻࠊӮЧh¦272 T(M)2-θT(M)θT(M)22Ӂࡎ۬p¦10/ֆ໊ӁhD(e+θT(M)-1)e12。2ਬ൲അሧࣁࠏ߶ӮЧੱ θT(M)2༯ႳྐႨ௹୍ ႮႿൔሰَ෫,ၛ֤֥֞TRP(T(M),M)χ2ҀࠊֆࡎC¦6/ֆ໊Ӂsྟ,ၹՎ,ࡼႨෘ২֥ٚൔটुTRP(T(M),M)2০༏ੱ ֥χྟ。Վࡼࣉྛඔᆴෘ২ٳ༅。эᇉੱθ ౦ྙ3:Δ>02ՎൈT=T(M)൞֤TRP(T)ቋն߄֥ቋႪ ෘ২ٳ༅33Ҁࠊᇛ௹၇ऌ֥ෘم,֤֞ቋႪרࠊᇛ௹ބྐႨ௹。ࡼT(M)սೆTRP(T,M)֤3**CDKູT=M=T=M=,ቋႪרࠊਈູs33θT(M)13TSP(T(M),M)=(e-1)--3T(M)T(M)ֆ໊Ӂ/Ց,ਬ൲അ֥০ູ¦,܂
ֻ3௹ณധ,ᇛႥༀ,ᆢዏዏ:э߄ྐႨ௹༯ၞэᇉٳ৫थҦ܂ႋ৽༢ 43ႋഅ֥০ູ¦。҂Ⴈীᅚष,ᆰࢤࢳնֹࡨഒ,Ֆط֤ਬ൲അބ܂ႋഅ֥০ᄹࡆ;2)**֤T=M=T=M=,༂ҵູ%。ၹ֒ਬ൲അ۳ܤग़֥ྐႨശۚൈ,ႮႿླ֥ᄹۚ,ਬ33Վ൲അࡼཟ܂ႋഅרܓ۷؟֥ࠊ,ቋႪרࠊᇛ௹ބ,ؓൔሰࣉྛীᅚषؓႿࢲݔѩն႕ཙ。 ૹۋྟٳ༅ቋႪרࠊਈࡼཌྷႋֹᄹۚ,൞ೂݔ҂ϜྐႨ௹॥ॉ੮ྐႨ௹ᇅᄝ၂קٓຶଽ,ླ֥ᄹۚѩ҂ିջট০֥ᄹN、эᇉੱθؓቋႪרࠊᇛ௹T、ቋࡆ;3)֒ਬ൲അ֥רֆఓӮЧഈശൈ,רࠊᇛ௹ބႪྐႨ௹MބቋႪרࠊਈQ֥႕ཙ。ၛі1֥רࠊਈ္ࡼഈശ,ਬ൲അֆ໊ൈࡗ֥০ࡼᇯࡶֹҕඔູҕᅶቆҕඔ,ᄝఃҕඔܥקൈэ߄ଖ၂ҕࢆ֮,طؓႿ܂ႋഅটࢃ,ః০ࡼෛሢਬ൲അרࠊඔࣉྛૹۋྟٳ༅。౼N=(1,,,,0);ᇛ௹֥ѯطѯ;4)ླؓྐႨ௹ᄀૹۋ(ࠧіགྷθ=(,,,,);K=(150,125,2ູૹۋ༢ඔbᄀն,эࠎඔaᄹնᇀौ࣍ଖ۱ਢ100,75,50);a=(120,100,80,60,40);b=(,ࢸׄ),ቋႪרࠊᇛ௹ࣼᄀӉ,ਬ൲അࠣ܂ႋഅ֥০,,,0),ࢲݔೂі2。ࣼᄀ֮;ط֒ఃҕඔ҂э,эࠎඔaӑݖଖ၂і2 ၂ུҕඔ֥ૹۋྟٳ༅ਢࢸׄൈ,ਬ൲അބ܂ႋഅ֥০ࡼശۚ;5)֒܂ႋ Thesensitiveanalysisofsomeparametersഅ֥ࠏ߶ӮЧੱࢠ֮ൈ,ਬ൲അ۷჻ၩิ܂۳܂ႋ***ҕඔ౼ᆴTMQTRPTSPTSP+TRPഅྐႨ௹,൞֒܂ႋഅ֥ࠏ߶ӮЧࢠնൈ,܂ႋഅ "TBࡼิ܂ቋ֥֮ྐႨ௹۳ਬ൲അ(മᇀູ0)。 "TBθ "TB4 ࢲં "Ч໓ࣉྛਔэ߄ྐႨ௹่ࡱ༯ٳ৫थҦ༢ " "T*Bଆ֥ࡹ৫აࢳ,ᆣૼਔਬ൲അ০ݦඔ֥৵ "T*B࿃ྟބਬ൲അ০ݦඔܱႿרࠊᇛ௹T֥χྟၛ "T*Bࠣࢳ֥ື၂ྟ。ႮႿൔሰ֥گᄖྟၛູࠣਔ܂ႋഅ "T*Bࢳ֥ь০,ؓᆷඔࣉྛਔীᅚष,Ⴈ࣍රูս֥ "T*Bٚمࠆ֤ਔૄᇕ౦ྙ༯ਬ൲അܱႿ܂ႋഅ۳קྐႨ "T*B௹֥࣍රቋႪרࠊᇛ௹。ᄝ܂ႋഅथҦൈ,ႮႿݦ "T*BඔݖႿگᄖ,مᆣ֤ఃχྟၛࠣࢳ֥ື၂ྟ,ၹ "T*Վᆺି۳ԛඔᆴࢳ֥ٚم。 "T* "T*BᄝՎࠎԤᆭഈ,ሹࢲ݂ବਔэ߄ྐႨ௹่ࡱ༯ "TBٳ৫थҦ༢֥ࢳෘم,ࣉྛਔඔᆴ൫ဒބ "TBૹۋྟٳ༅。๙ݖඔᆴ൫ဒބૹۋྟٳ༅,֤֞ਔ "TBቋႪרࠊᇛ௹、ቋႪרࠊਈෛሢэᇉੱ、ਬ൲അ۳༯ "TBႳܤग़֥ྐႨ௹、ਬ൲അ֥רֆఓӮЧ、ܤग़ෛྐ "TBႨ௹э߄֥эࠎඔބ༢ඔၛࠣ܂ႋഅ֥ࠏ߶ӮЧ "TBੱ֥э߄طэ߄֥ཌྷܱࢲં。 "TB0.๙ݖ࣮,֤֞ਔၛ༯ࢲં:1)ٳ৫थҦ९ " "TBթ༢ᇏ,ਬ൲അ֥০ݦඔ൞רࠊᇛ௹֥χݦඔ。 "TB2)၂Ϯটࢃ,༯ႳཟഈႳרܓᄀ؟֥ࠊ,ഈႳࡼิ "TB܂۷؟֥ྐႨ௹。భิ൞ิ܂ྐႨ௹෮ᄥ൳֥Ӯ "TBЧཬႿࠇᆀ֩Ⴟרࠊਈᄹ؟෮ႄఏ֥০֥ᄹ "TB؟;,༯Ⴓ۳ܤग़ิ܂ྐႨ௹ൈ,္ࡼޙਈิ܂ "TBྐႨ௹֥ࠏ߶ӮЧބܤग़ඔਈᄹࡆطႄఏ֥০֥ "TBэ߄ᆭࡗ֥նཬܱ༢。3)ೂݔܤग़ؓྐႨ௹бࢠૹ Ⴎі2ॖᆩ:1)ෛሢэᇉੱθ֥ࢆ֮,ቋႪרࠊۋൈ,ᄵႋᄹࡆ۳ܤग़֥ྐႨ௹。ᇛ௹ၛࠣרࠊਈശۚ,Ⴎэᇉႄఏ֥ӮЧࡼնЧ໓෮࣮֥ࢲંູགྷൌᇏഅြྐႨߌ༯ਬ
۽ ြ ۽ ӱֻ16ज 44[10]൲അೂޅࣉྛҀࠊၛࠣ܂ႋഅೂޅಒקྐႨ௹ิ܂price-and-credit-Linkeddemandundertwo-leveltradecreditਔ၂ק֥ҕॉ。൞ીႵฐษ܂ႋഅഈ༯Ⴓᆭࡗ֥[J].Computer&IndustrialEngineering,2011,60(1):ླྀט໙ี,္ીႵॉ੮ሧࣁ֥ൈࡗࡎᆴ,ᄝު࿃֥117-126.࣮ᇏ,ॖၛॉ੮ሧࣁ֥ൈࡗࡎᆴෛࠏླ༯э߄ྐ[11]GoyalSK,-Ⴈ௹่ࡱ༯֥ၞэᇉ९թ༢,္ॖၛؓھ९թratinginventory[J].EuropeanJournalofOperationRe-༢܂ႋഅഈ༯Ⴓᄎቔࠏᇅބླྀטࠏᇅࣉྛ࣮აsearch,2001,134(1):1-16.ฐ෬。[12]GharePM,-cayinginventory[J].JournalofIndustrialEngineering,ҕॉ໓ང:1963,14(5):238-243.[1]HaleyCW,[13]-financing[J].ManagementScience,1973,20(4):464-ventorywhendelayinpaymentsispermissible[J].,Belgium,1993,35(1-2):115-123.[2][14]AggarwalSP,[J].JournaloftheOperationalitemunderpermissibledelayinpayments[J].JournalofResearchSociety,1985,36(4):,1995,46(5):658-662.[3][15]JamalAMM,SarkarBR,-termssuppliercredit[J].Computers&IndustrialEngi-foraretailerunderpermitteddelayofpaymentbythewhole-neering,1997,33(3-4):[J].InternationalJournalofProductionEconomics,[4]-2000,66(1):-[16]JaggiCK,-ments[J].Computers&OperationsResearch,1998,25deringpoliciesofdeterioratingitems[J].InternationalJour-(1):,1994,34(2):151-155.[5]JamalAMM,SakerBR,[17][J].JournaloftheOperationalResearchSociety,1989,[J].InternationalJournalofProductionEconomics,2000,40(5):(1):59-66.[18]MinJie,ZhouYong-Wu,[6]-dependentdemandandtwo-andentropycost[J].Computers&IndustrialEngineering,leveltradecredit[J].AppliedMathematicalModeling,2007,52(1):,34(11),3273-3285.[7]’sorderingpoliciesintheEOQ[19]ChangHJ,HungCH,[J].JournaloftheOpera-deterioratingitemswithstock-dependentdemandandtime-tionalResearchSociety,2003,54(9):[J].Journal[8]SuCH,OuyangLY,HoCH,’sinventoryofInformationandOptimizationSciences,2004,25(2):policyandsupplier’[J].Asia-PacificJournalofOperationalRe-[20]OuyangLiang-Yuh,HoChia-Huei,-search,2007,24(5):[9]JaggiCK,GoyalSK,’soptimalreplen-anintegratedinventorysystemwithorder-sizedependentishmentdecisionswithcredit-linkeddemandunderpermissi-tradecredit[J].Computer&IndustrialEngineering,2009,bledelayinpayments[J].EuropeanJournalofOperational57(3):,2008,190(1):130-135.
