뗚12뻭뗚6웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ쓪12퓂ꆡꆡꆡꆡꆡꆡꆡꆡꆡ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꋙ뛅짙뢦1,솺ꆡ飅1,뚭뾥럥1,쟱ꆡ2(1.훐맺뿆톧벼쫵듳톧맜샭톧풺,뫏럊230026;2.훐맺붨짨틸탐낲믕쪡럖탐,뫏럊230001)햪튪:퇐뺿쇋쯦믺쟒뿉뿘쳡잰웚쟩뿶쿂ꆰ뿢듦늹믵폫퓋쫤업돌ꆱ(SRSS)뗄쪱믹늹믵랢믵닟싔,퓚ꆰ퓊탭좱믵,좱믵늻늹ꆱ뗄뒫춳볙짨믹뒡짏,뷡뫏쪹폃쯦믺맽돌룼탂샭싛뫍폅뮯랽램,붨솢쇋삩햹쒣탍;쪹폃럂헦랽램룺ퟙ쇋폅뮯닟싔뗄뎤웚횴탐킧맻,틔퇩횤쒣탍폐킧탔.맘볼듊:뿢듦늹믵폫퓋쫤업돌(SRSS);Poisson맽돌;룼탂샭싛;럂헦훐춼럖샠뫅:;F224ꆡ컄쿗뇪쪶싫:Aꆡ컄헂뇠뫅:1007-9807(2009)06-0034-110ꆡ틽ꆡ퇔내헕헻뫏엺솿엤쯍[4].H[5]igginson뫍Bookbinder붫퓋쫤헻뫏닟싔럖캪솽샠:솿믹닟싔(quantity2릩펦짌맜샭뿢듦(VMI,vendor2managedbased)뫍쪱믹닟싔(time2based).잰헟횸횻튪샛믽inventory)쫇릩펦솴킭뗷폫벯돉뗄탂쮼슷.탭뛠컄탨쟳솿듯떽쒳튻풤뚨엺솿랢믵;뫳헟퓲쫇쎿룴만쿗[1ꆫ3]훐쯹쳖싛뗄ꆰ별쫛(consignment)ꆱ쫇훖럇뚨뗄쪱볤랢튻듎믵[4].µetinkaya뫍Leeퟮ퓧뾪쪼뎣뗤탍뗄VMI뿢듦맜샭쒣쪽.퓚VMI별쫛쒣쪽퇐뺿VMI뮷뺳쿂뿢듦늹믵폫퓋쫤헻뫏뗄솪뫏뻶쿂,짏폎돉풱(별쫛랽)붫짌욷별럅퓚횱뷓쿂폎돉닟컊쳢,벴SRSS컊쳢.퓚ꆰ늹믵쳡잰웚뿉뫶싔ꆱ헢풱(쫜별랽)릩쪹폃믲쿺쫛;퓚쪹폃믲쿺쫛췪돉횮튻샭쿫볙짨쿂,쯽쏇붨솢쇋쯦믺탨쟳쿂뗄쪱믹늹뫳퓙쿲별쫛랽횧뢶믵뿮.VMI뗄훷튪쮼쿫퓚폚:믵랢믵벯돉쒣탍.듋쒣탍훘퓚뷢뻶죧뫎좷뚨뚩훁릩펦랽뛮췢돐떣웰캬뮤뚩믵랽뿢듦뗄퓰죎[1ꆫ3],뗣Q폫볆뮮랢믵웚T뗄ퟮ폅ퟩ뫏틔ퟮ킡뮯웚췻늢룹뻝릲쿭뗄탨쟳풤닢탅쾢훆뚩뫏쫊뗄돖탸늹믵뎤웚욽뻹돉놾.µ[7]etinkaya뫍Bookbinder럖뇰쳖볆뮮(CRP,continuousreplenishmentplan).VMI늻뷶쫇룶좫탂뗄뿢듦맜샭쮼쿫,룼캪훘튪뗄쫇싛쇋퓚쮽죋퓋쫤뫍릫릲퓋쫤랽쪽쿂뗄쪱믹뫍솿믹,쯼펪퓬쇋튻훖쿠뮥탅죎ꆢ뫏ퟷ릲펮뗄벯돉뮷뺳쒣탍.Ching뫍T[8]ai퓲뷡뫏쪱믹닟싔뫍솿믹닟싔.퓚튻룶VMI쾵춳훐,릩펦랽늢늻쫇볲떥뗘횴탐뚩떥뗄쳘뗣,럖컶쇋VMI쾵춳쿂뗄늹믵랢믵믬뫏닟,뛸쫇펵폐쇋쿂폎퓙릩펦뻶닟좨.헢뻍캪뿢듦뫍퓋싔.뛅짙뢦뗈[9]붫닺욷뇤훊틲쯘쓉죫뾼싇,붨솢쫤뗄춬늽뻶닟쳡릩쇋욽첨[4].H쇋쿠펦뗄믬뫏늹믵랢믵닟싔쒣탍.Chen뗈[10]듓igginson뫍B[5]돉놾킧틦맛뗣뛔쪱믹ꆢ솿믹뫍믬뫏닟싔뷸탐쇋뇈ookbinder퇐뺿쿔쪾:퓚VMI쾵춳훐,춨맽붫퓋쫤헻뫏뷏,뷡맻쿔쪾솿믹닟싔폅폚쪱믹닟싔,뛸믬뫏닟싔(shipmentconsolidation)폫뿢듦늹믵뻶닟폐킧뷡뫏웰살뿉틔쏷쿔뷚풼돉놾퓲뷩폚뛾헟횮볤.좻뛸[11],Jackson뗄뗷닩퇐뺿좴.퓚VMI놻쳡돶횮잰,퓋쫤헻뫏컊쳢뻍틑놶쫜랢쿖,퓚쿖쪵짺믮훐쪱믹닟싔뗄닉폃싊튪룟뗃뛠.맘힢(죧컄쿗[5,6]).쯹캽ꆰ퓋쫤헻뫏ꆱ뻍쫇붫뛠µ[4]etinkaya뫍Lee뛔듋쿖쿳뗄뷢쫍쫇:돶폚튻킩룶뷏킡맦쒣뚩떥헻뫏떽뷏듳엺솿틔쪵쿖퓋쫤맦쒣햽싔뾼싇,죧뿍뮧싺틢뛈(CS)ꆢ뿬쯙쿬펦(QR)틔뺭볃뗄뻶닟.튲뻍쫇쮵,탨쟳늻쫇벴떽벴싺ퟣ,뛸쫇벰폐킧뿍뮧쿬펦(ECR)뗈,쪱믹닟싔튪폅폚솿믹ꋙ쫕룥죕웚:2007-12-11;탞뚩죕웚:2008-08-04.믹뷰쿮쒿:맺볒ퟔ좻뿆톧믹뷰뷜돶쟠쓪믹뷰훺쿮쒿(70525001);맺볒ퟔ좻뿆톧믹뷰훺쿮쒿(70871105).ퟷ헟볲뷩:뛅짙뢦(1980ꆪ),쓐,낲믕믴즽죋,늩쪿,붲쪦.Email:dsoft@' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚6웚뛅짙뢦뗈:뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꆪ35ꆪ닟싔.헽틲캪헢퇹,릩펦솴돉풱풽살풽쟣쿲폚붫럾춨맽ힷ볓뛮췢뗄룏릤돉놾(crashingcost)뛸쯵컱쪱볤돐억(DTG)ퟷ캪컼틽뿍뮧뗄쫐뎡뛌[24,25].놾컄붫뾼싇늹믵쳡잰웚쯦믺쟒뿉뿘쟩뿶닟싔[12,13].쿂뗄SRSS컊쳢,틔럡뢻쿖폐뗄SRSS퇐뺿.짏쫶SRSS쿠맘퇐뺿뻹붨솢퓚쇣쳡잰웚믹뒡횮짏.퓚듋쟩뿶쿂,릩펦짌뗄퓙뚩믵뗣뇘좻캪ꆡ컊쳢쏨쫶벰볙짨닎쫽T[14]ersine죏캪늹믵쳡잰웚훷튪평뚩믵ힼ놸ꆢ뚩떥뒫듯ꆢ릩펦짌쳡잰웚ꆢ엤쯍쪱볤뫍/믲낲ힰ쪱볤뗈SRSS컊쳢쯹뾼싇뗄뗤탍VMI쾵춳평1룶훆릹돉.듳뛠뿢듦쿠맘퇐뺿뚼믡퓚럖컶잰헫뛔ꆰ쳡퓬짌Mꆢ1룶릩펦짌V뫍맣랺럖늼폚늻춬뗘쟸뗄잰웚ꆱퟷ돶볙짨:만뚨(죧Rabinowitz뗈[15])믲쯦뚩믵짌R릹돉[4,7,8,10],볻춼1.헢킩쇣쫛짌뗄뚩믺(죧컄쿗[16ꆫ20]).쿠뛔폚만뚨쳡잰웚볙짨,믵탨쟳쫇쯦믺뗄,릩펦짌늻믡퓚탨쟳떽듯쪱뻍솢쯦믺쳡잰웚퓲룼캪튻냣ꆢ룼쳹뷼쪵볊[21].벴엤쯍,뛸쫇룹뻝쒳훖랢믵닟싔,퓚탨쟳샛믽떽튻Bookbinder뫍µakanyildirim[16]죏캪쯦믺쳡잰웚뿢뚨돌뛈뫳퓙엺솿랢믵,틲캪헢퇹닅쓜쪵쿖퓋쫤맦듦퇐뺿쫇릩펦솴맜샭훐뗄훘튪쇬폲.틲듋퓚SRSS쒣뺭볃.헢퇹,릩펦짌뗄뿢듦뻶닟뇘좻폫쯼쯹닉폃컊쳢훐뾼싇쯦믺쳡잰웚쫇뇘튪뗄.µetinkaya뫍뗄랢믵닟싔폐ퟅ뷴쏜솪쾵,틲듋,릩펦짌뇘탫붫뿢L[4]ee퓚쯽쏇컄헂뗄뷡싛늿럖튲훘뗣짹쏷쇋ꆰ뾼듦늹믵뫍퓋쫤업돌솽헟ퟛ뫏뾼싇닅쓜ퟶ돶ퟮ폐킧싇늹믵쳡잰웚늻뿉뫶싔뗄쟩뿶ꆱ쫇뇘튪뗄.뷼쓪뗄뻶닟.튲뻍쫇쮵,SRSS컊쳢쯹맘힢뗄뻍쫇죧뫎살,ꆰ쳡잰웚뿉뿘ꆱ맛뗣뎣볻폚뿢듦쿠맘퇐뺿훐,붫벯돉뿢듦늹믵뻶닟뫍퓋쫤헻뫏뻶닟틔쳡룟돉놾죧컄쿗[22ꆫ27].쳡잰웚뗄쒳킩릹돉돉럖췹췹뿉킧틦.춼1ꆡSRSS컊쳢쯹뾼싇뗄뗤탍VMI쾵춳(풴ퟔµ[4]etinkaya뫍Lee)(Sou4]rce:µetinkaya&L[ee)ꆡꆡ놾컄붫뺭뗤SRSS퇐뺿췆뷸떽ퟮ캪튻냣뗄쟩폐맘,쟒럾듓뻹횵캪ꛋꚤt뗄Poisson럖늼,뛸폫뾪탎,벴:늹믵쳡잰웚쯦믺쟒뿉쯵뛌.폫µetinkaya뫍쪼쪱뿌컞맘;L[4]ee훐뗄닟싔탎쪽(Q,T)늻춬,뾼싇떽쳡잰웚2)퓊탭좱믵,좱믵튪늹;뗄듦퓚,탫붫쪱믹늹믵랢믵닟싔탎쪽뮯캪3풪ퟩ3)퓚컞죋캪뿘훆쟩뿶쿂,늹믵쳡잰웚쯦믺,(S,s,T)뗄탎쪽,S,sꇊꆡ,T>0,Sꇝs웤훐S캪웤룅싊훊솿몯쫽(.)폃ꛗ(ꆤ)뇭쪾;뚩훁뗣(order2up2topoint),s캪퓙뚩믵뗣(reorder4)춨맽ힷ볓뛮췢뗄룏릤돉놾,쳡잰웚쫇뿉놻point),T캪랢믵웚(dispatchingperiod).헢샯,ퟓ쯵뛌뗄.늻쪧튻냣탔,놾컄뾼싇쿟탔룏릤돉놾.풪ퟩ(S,s)헽랴펳쇋릩펦짌쯹닉폃뗄뿢듦늹믵닟ꆡ닟싔쪵쪩싔,뛸T퓲랴펳쇋쯹닉폃뗄퓋쫤헻뫏닟싔.놾컄볌놾컄뾼싇릩펦짌쪵쪩닟싔죧쿂:돐µ[4]etinkaya뫍Lee훐쯹뾼싇뗄Poisson탨쟳,1)릩펦짌쎿룴T떥캻쪱볤ퟷ돶튻듎랢믵헢뿉볲뮯놾컄뗄컊쳢뛸폖늻쪧듺뇭탔[15,28].뻶닟;ꆡ잰쳡볙짨2)릩펦짌횻탫퓚쎿듎ퟷ돶랢믵뻶닟잰,벴퓚1)탨쟳샛믽맽돌쫇룶뗤탍뗄Poisson맽돌,t=T,2T,ꆭ뗈쪱뿌엌뗣뿢듦.떱퓚뿢듦믵쮮욽붵벴:죎뫎쪱볤볤룴ꚤt쓚뗄샛믽탨쟳솿횻폫쪱뎤ꚤt훁믲뗍폚퓙뚩믵뗣(I(t)ꇜs))쪱닅ퟷ돶늹믵뻶' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ36ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2009쓪12퓂닟.헢틢캶ퟅ떱잰늹믵훜웚뷡쫸,탂뗄늹믵훜웚뾪TRCꆪ늹믵훜웚쪱뎤,TRC=KT;쪼.늹믵솿캪S-I(t)틔쪹뿢듦쮮욽훘탂믘떽뚩CRCꆪ1룶늹믵훜웚쓚뗄ퟜ돉놾,냼삨:ퟜ뿢훁뗣S.틲뛸{I(t)ꇃtꇝ0}쫂쪵짏뻍쫇평뛀솢춬듦돖폐돉놾HRCꆢퟜ늹믵돉놾RRCꆢퟜ랢믵돉놾럖늼(.)뗄훮뛠늹믵훜웚쯹릹돉뗄훜뛸뢴쪼DRCꆢퟜ뿍뮧뗈듽돉놾WRCꆢퟜ좱믵랣돉놾PRC틔벰뗄맽돌,헢쫇뗤탍뗄룼탂맽돌(renewalprocess),ퟜ룏릤돉놾CRRC;늹믵훜웚헽쫇쯹캽뗄룼탂훜웚.C(S,s,T)ꆪ닟싔(S,s,T)쿂뗄웚췻뎤웚욽3)죴쳡잰웚뎤폚헻뫏랢믵웚(튲뻍쫇쮵,죴뻹돉놾.컞죋캪룉풤,퓚늹믵훜웚쓚쫗듎랢믵잰늹믵늻쓜떽믵),릩펦짌붫ힷ볓뛮췢뗄룏릤돉놾틔붫쳡잰2ꆡ삩햹샫즢룼탂랽돌웚쯵뛌훁T틔좷놣풭뚨닟싔뗄쪵쪩.횵뗃튻쳡뗄쫇:릩펦짌늻믡붫쳡잰웚쯵뛌훁T틔쓚,틲캪쳡잰ꆡ룼탂맽돌럻뫅쳥쾵웚놻쯵뛌풽뛠,뻍탨튪횧뢶풽뛠풽릤돉놾뫍뛮췢폐맘룼탂맽돌뗄럻뫅쳥쾵캪:g(ꆤ)뫍G(ꆤ)뗄뿢듦돖폐돉놾.럖뇰뇭쪾닎쫽캪ꛋT뗄Poisson럖늼뗄룅싊훊솿몯ꆡ닎쫽럻뫅쫽(.)뫍샛믽럖늼몯쫽(k)(.),g(ꆤ)놾컄쯹짦벰뗄훷튪닎쫽럻뫅죧쿂(웤훐AR,뫍G(k)(ꆤ)퓲럖뇰쫇쯼쏇뗄k훘뻭믽.mg(ꆤ)퓲캪cR,h,AD,cD,w쫇볌돐µetinkaya뫍Lee훐뗄럻뛔펦뗄룼탂쏜뛈몯쫽.뾼싇Poisson럖늼뗄뚨틥벰뫅):뿉볓탔,폐ARꆪ쎿듎늹믵뗄만뚨돉놾;i-ꛋ(ꛋTT)eg(i)=,i=0,1,ꆭ(1)cRꆪ떥캻늹믵돉놾;i!i-kꛋThꆪ떥캻쪱볤떥캻뿢듦뗄돖폐돉놾;(k)()eg(i)=kꛋT,i=0,1,ꆭ(2)Ai!Dꆪ쎿듎랢믵뗄만뚨돉놾;cDꆪ떥캻퓋쫤돉놾i-ꛋTG(ꛋ;T)e(X)=ꇆXg(i)=ꇆX,wꆪ떥캻쪱볤떥캻탨쟳뗄뿍뮧뗈듽돉놾i=0i=0i!;X=0,1,ꆭ(3)cSꆪ떥캻좱믵랣돉놾;-kꛋTG(k)(k)(kꛋiT)ecc(rꆪ떥캻늹믵떥캻쪱볤룏릤돉놾;X)=ꇆXg(i)=ꇆX,i=0i=0i!(S,s,T)ꆪ늹믵랢믵닟싔,S,s,T럖뇰캪뚩훁뗣ꆢ퓙뚩믵뗣뫍헻뫏랢믵웚,S,sꇊꆡꆡꆡꆡX=0,1,ꆭ(4),T>i-kꛋT0m(k)(kꛋT)eg(i)=ꇆꇞg(i)=ꇆꇞ,,Sꇝs;k=1k=1i!ꛓꆪ늹믵쳡잰웚,룅싊훊솿몯쫽캪ꛗ(ꆤ);ꆡꆡꆡi=0,1,ꆭ(5)Kꆪ1룶늹믵훜웚쓚뗄랢믵듎쫽,헻쫽쯦믺ꆡ샫즢룼탂랽돌뇤솿;퓚붨쒣횮잰,폐뇘튪뷩짜튻쿂룼탂샭싛훐룼I(t)ꆪ릩펦짌퓚뿢듦믵쪱뇤몯쫽.캪랽뇣웰탂랽돌쟳뷢뚨샭[29ꆫ33]:뒫춳뗄샫즢룼탂랽돌탎죧볻,붫t=iT(i=0,1,ꆭ,K)쪱뗄뿢듦볲볇캪I,i벴뗚i듎랢믵뫳뗄뿢듦쮮욽.I0뫍IK뻍럖뇰뇭쪾늹u(x)=v(x)+ꇆxu(x-i)g(i)(6)i=0믵훜웚쓚웚돵뫍웚쒩뿢듦;웤훐xꇊꆡ,v(ꆤ)ꆢg(ꆤ)틑횪,u(ꆤ)쫇듽쟳뷢뗄N(ꚤt)ꆪ쪱볤볤룴ꚤt쓚뗄샛믽탨쟳솿.헢쫇캴횪랽돌.듋랽돌뻟폐캩튻뷢죧쿂:룶샫즢쯦믺뇤솿,럾듓닎쫽캪ꛋꚤt뗄Poisson럖늼.폃N뇭쪾뗚i룶랢믵웚뗄샛믽탨쟳;죴컞탫쟸u(x)=v(x)+ꇆxv(x-i)mg(i)(7)ii=0뇰,퓲뷸튻늽볲킴캪N.쯼쏇뛀솢춬럖늼,럾듓닎붫짏쫶뒫춳룼탂랽돌췆맣떽죧쿂탎쪽:쫽캪ꛋx-xT뗄Poisson럖늼,NiꆫP(ꛋT);ꛄꆪ늹믵웚웚쒩좱믵.쿔좻ꛄ뫍IK훐훁짙폐튻u(x)=v(x)+ꇆ0u(x-i)g(i)(8)i=0룶캪0;웤훐x0ꇊꆡ,x>x0.뿉틔횤쏷틔쿂뚨샭돉솢(닎' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚6웚뛅짙뢦뗈:뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꆪ37ꆪ볻뢽슼1).뚨샭1ꆡ탎죧쪽(8)뗄삩햹샫즢룼탂랽돌뻟폐캩튻뷢죧쿂:x-x0u(x)=v(x)+ꇆv(x-i)mg(i)(9)i=03ꆡ럖컶쒣탍ꆡ늹믵(룼탂)훜웚쓚뗄뿢듦뇤뚯춼3ꆡꛓꇝT쪱뗄뿢듦쮮욽뇤뮯춼2뫍춼3럖뇰쿔쪾쇋ꛓꇜT뫍ꛓ>T솽훖ꛓꇝT쟩뿶쿂1룶룼탂훜웚쓚뗄뿢듦뇤뚯.쎿룶탂훜웚ꆡ늹믵훜웚쓚뗄웚췻랢믵듎쫽뗄웚돵뿢듦튲뻍쫇짏튻훜웚뗄웚쒩뿢듦.늻럁늹믵훜웚쓚랢믵듎쫽K쫇룶헻쫽쯦믺뇤솿.쇮떱잰훜웚뗄웰쪼쪱뿌캪0.떱ꛓꇜT쪱,늹믵믡떱잰훜웚뗄ퟮ뫳튻듎랢믵랢짺퓚t=KT쪱뿌.볇퓚쫗듎랢믵잰떽믵.퓚t=ꛓ쪱뿌,뿢듦쮮욽믖뢴K-T캪ퟮ뫳튻듎랢믵잰뗄쇙뷧쪱뿌,쓇쎴듓쪽떽S.쪽(10)캪듋쟩뿶쿂뗄뿢듦쮮욽럖뛎몯쫽.(10)뫍쪽(11)뿉횪KI(K-T)=S-ꇆ-1Ni>s;i=1I(KT)=max{0,S-ꇆKNi}ꇜs.(12)i=1컞싛ꛓ폫T뗄듳킡맘쾵죧뫎,쪽(12)뻹틢캶ퟅK=inf{kꇃꇆkNiꇝS-s,kꇊꆡ+1}(13)i=듓잰컄쯹쫶뗄닟싔쪵쪩맽돌,뿉뗃맘폚K뗄춼죧쿂뗝췆맘쾵,웤훐N1쫇쫗룶랢믵웚쓚뗄샛믽탨2ꆡꛓ<T쪱뗄뿢듦쮮욽뇤뚯ꛓ<T쟳솿,N1ꆫP(ꛋT)K(S;s,T)|N1=i)=I0,ꆡꆡꆡꆡꆡꆡꆡ죴0ꇜt<ꛓ;S,죴ꛓꇜt<T;ꆡꆡ1ꆡꆡꆡꆡꆡꆡꆡ죴iꇝS-s(14)1+K(S-i;s,T)죴i<S-sS-N1,죴Tꇜt<2T;뛔쪽(14)쟳웚췻뿉뗃I(t)=ꆡꆡꆭꆭSK-1E[K|(S;s,T)]=1+ꇆ-s-1E[K|S-i;S-ꇆN)i=0i,죴(K-1Tꇜt<KT;i=1ꆡꆡs,T)]g(i)(15)max{0탎죧쪽(8),쪽(15)쫇맘폚E[K]뗄삩햹샫,S-ꇆKNi},죴t==1즢룼탂랽돌,퓋폃놾컄쳡돶뗄뚨샭1뗃(10)S-s-1떱ꛓ>T쪱E(K)=1+,퓚컞죋캪뗷뿘뗄쟩뿶쿂늹믵늻ꇆmg(i)(16)i=0쓜퓚쫗듎랢믵잰떽믵.헢뻍탨튪ힷ볓뛮췢뗄룏릤횵뗃튻쳡뗄쫇,µ4]etinkaya뫍L[ee퓚쯽쏇쯹돉놾쪹쳡잰웚쯵뛌훁T틔좷놣닟싔쪵쪩.헢훖쟩뾼싇뗄쟩뿶쿂맘폚웚췻랢믵듎쫽뗄췆떼듦퓚늻퇏뿶쿂뗄뿢듦몯쫽폫쪽(10)뗄쟸뇰횻퓚[0,T]쪱뷷횮뒦,헢튻늿럖뗄췆떼랽램폫맽돌폐훺폚탞헽뛎,볻쪽(11).듋컊쳢.Iꇜt<ꆡ웚췻웚돵/웚쒩뿢듦I(t)=0,ꆡꆡꆡꆡ죴0(11)S,죴t=T.볈좻1룶늹믵훜웚뗄웚쒩뿢듦뻍쫇쿂튻훜웚' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ38ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2009쓪12퓂뗄웚돵뿢듦,쓇쎴쿔좻폐E[I0]ꇔE[IK].늻럁폃ꚸ(럻뫅ꛌ살뇭쪾헢룶릲춬뗄웚췻횵.듓잰컄쯹쫶뗄S,s,T)ꇔꇒKTꋲ(t)dt,ꛘꇔE[ꚸ]0닟싔쪵쪩맽돌뿉뗃맘폚IK뗄뗝췆쪽죧쿂틗횪ꚸ싺ퟣ죧쿂뗝췆맘쾵ꚸ(S;s,T|N1=i)=IK(S,s,T|N1=i)=0,ꆡꆡꆡifi>S;ꆡST,ꆡꆡꆡꆡꆡꆡꆡ죴iꇝS-s;(25)ꆡꆡST+ꚸ(S-i;s,T),죴ꆡꆡi<-i,ꆡifS-sꇜiꇜS;(17)뛔짏쪽쟳웚췻뿉뗃맘폚ꛘ뗄샫즢룼탂랽돌죧쿂IK(S-i,s,T),otherwiseS퓲폐ꛘ(S,s,T)=ST+ꇆ-s-1ꛘ(S-i,s,T)g(i)ꛌi=0(S,s,T)=ꛁ(S,s)+(26)Sꆡꆡꇆ-s-1ꛌ(S-i,s,T)g(i)(18)퓋폃뚨샭1뗃i=0웤훐ꛁS(S,s)놻뚨틥캪ꛘ(S,s,T)=ST+ꇆ-s-1(S-i)Tꆤmg(i)S-1i=0ꛁ(S,s)ꇔꇆ(S-j)g(j)(19)(27)j=S-s퓋폃뚨샭1뿉뗃평폚I(t)뷶퓚[0,ꛓ]쪱뛎(ꛓ<T쪱)믲[0,ꛌ(ST]쪱뛎(ꛓꇝT쪱)폐뇰폚ꋲ(t),틲듋틗횪,s,T)=ꛁ(S,s)+Sꇆ-s-1ꛁ(S-i,s)mg(i)(20)ꇒKTꚸ-ꛓ(S-I0),죴ꛓ<T;I(t)dt=0ꚸ(28)-T(S-I0),죴ꛓꇝ=ꆡ돉놾럖컶틲듋볈좻릩펦짌뿢듦뗄쪱뇤맽돌쫇룶뗤탍뗄룼탂E[H맽돌RC]=hE[ꇒKTI(t)dt0],쓇쎴룼탂샭싛뻍쫊폃폚듋럖컶.룹뻝룼탂놨돪뚨샭(renewalrewardtheorem)뿉횪=h{ꇒT[ꛘ-(S-ꛌ)ꛓ]ꛗ(ꛓ)dꛓ+0ꆡE[CC(S,s,T)=RC]E[TRC]ꆡꆡꇒꇞ[ꛘ-(S-ꛌ)T]ꛗ(ꛓ)dꛓ}TE[H=RC+RRC+DRC+WRC+PRC+CRRC]=hꛘ-h(S-ꛌ)[Eꛓ-ꚴ(T)]E[TRC](29)(21)웤훐1)웚췻늹믵훜웚쪱뎤틑뺭횪뗀TRC=KT,퓲틗횪ꚴ(T)ꇔꇒꇞ(ꛓ-T)ꛗ(ꛓ)dꛓ(30)TE3)웚췻늹믵돉놾[TRC]=TE[K](22)2)웚췻뿢듦돖폐돉놾튻룶늹믵훜웚쓚뗄ퟜ퓚1룶늹믵훜웚쓚,늹믵뻶닟횻믡퓚웚쒩랢웚췻뿢듦돖폐돉놾캪짺1듎,늹믵솿쫇(S-IK),틲듋E[RRC]=AR+cRE[S-IK]E[HRC]=hE[ꇒKTI(t)dt](23)0=AR+cR(S-ꛌ)(31)춼2뫍춼3쿔쪾퓚[0,T]쪱뛎쓚뿢듦쟺쿟믡4)웚췻랢믵돉놾듓뷏뗍쮮욽풾뇤훁S.틽죫닎뾼뗄쪱뇤몯쫽ꋲ(t),튻룶늹믵훜웚쓚뗄ퟜ랢믵듎쫽캪K,늢쟒ퟜ듋몯쫽폫I(t)뗄캨튻쟸뇰퓚폚볙짨[0,T]쪱뛎랢믵솿뇘좻캪(S-IK),틲듋뗄뿢듦쮮욽캪S.벴E[DRC]=ADE[K]+cDE[S-IK]ꋲS,ꆡꆡꆡꆡꆡ죴0ꇜt<T;=ADE[K]+cD(S-ꛌ)(31)(t)=I(t),ꆡꆡ럱퓲.5)웚췻좱믵랣돉놾(24)퓚늹믵훜웚웚쒩,죴퓚뿢듦믵늻ퟣ틔싺ퟣ샛캪뇣폚췆떼,늻럁틽죫럻뫅믽탨쟳쪱뻍믡랢짺좱믵,쿔좻' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚6웚뛅짙뢦뗈:뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꆪ39ꆪꛄ8)웚췻뎤웚욽뻹돉놾=max{0,ꇆKNi-S}i=1붫쪽(22)ꆢ(29)ꆢ(31)ꆢ(38)ꆢ(39)ꆢ(41)ꆢ듺ꇔ죫떽쪽(-m21)훐,헻샭뿉뗃in{0,S-ꇆKNi32)i=1}(쪽(10)뫍쪽(11)쿔쪾ꆡC(S,s,T)=cSꛋA+Dꛘꛋ+Thꛘ+A+R+T2TE[K]S-ꛌIK=max{0,S-ꇆKNi[c+cD-cS-hEꛓ+(h+ci=1}(33)TEc)ꚴ(rT)][KR]듓뛸뇘좻폐(42)죴뾼싇늹믵쳡잰웚ꛓ럾듓닎쫽캪ꛋꛓ뗄뢺횸IK-ꛄ=max{0,S-ꇆKNii=1}+쫽럖늼(헢퓚쿖쪵짺믮훐뷏폐듺뇭탔),벴폐ꆡmꛗ(ꛓ)=ꛋ-ꛋꛓꛓꛓe,ꛓꇝ0,쓇쎴in{0,S-ꇆKNii=1}Eꛓ=ꛋ-1-ꛋꛓ;ꚴ(T)=ꛋ-1ꛓeꛓT.(43)=S-ꇆKN(i34)헢퇹,뻍쓜뗃떽웚췻뎤웚욽뻹돉놾뗄쿔쪽뇭듯쪽i=1틲듋죧쿂ꆡCR(S,s,T)=cSꛋA+Dhꛘ+A+wꛋT++E[ꛄ]=E[ꇆKNii=1]-S+ꛌ(35)T2TE[K]룼탂샭싛훐뗄WS-ꛌald릫쪽(닎볻R[29]oss,38[c+-ꛋcD-c-hꛋ-1ꛓ+(h+cc)ꛋ-1rꛓeꛓT]TES튳[KR],뚨샭)뇭쏷(44)E[ꇆKN웤훐E[K]ꆢꛌ(S,s,T)ꆢꛘ(S,s,T)럖뇰평쪽ii=1]=E[K]E[N]=ꛋTE[K](36)퓲폐(16)ꆢ(20)ꆢ(27)룸돶.ꆡ폅뮯닟싔[ꛄ]=ꛋTE[K]-(S-ꛌ)(37)뷸뛸뗃웚췻좱믵랣돉놾캪폐쇋짏쫶돉놾럖컶,폅뮯컊쳢뻍뮯캪죧쿂E믬뫏헻쫽맦뮮뗄쟳뷢컊쳢[PRC]=cSE[ꛄ]=cS(ꛋTE[K]-S+ꛌminC(S,s,T)ꆡꇝs,T>0;)(38)6)웚췻뿍뮧뗈듽돉놾ꆡꆡꆡꆡꆡꆡꆡꆡS,sꇊꆡ.(45)춨맽쟳뷢듋맦뮮뻍뿉뗃떽폅뮯닟싔33퓚퓊탭좱믵쟩뿶쿂,ꆰ뿍뮧뗈듽쪱볤ꆱ탫훘탂(S,s,뚨틥캪3T).좻뛸,믹폚튻뷗쳵볾뗄뒫춳벫횵쟳뷢랽램늢:뚩믵랽폃폚뗈듽릩믵랽ퟷ돶쏷좷뗄릩믵믲좱믵뻶닟뗄쪱볤.퓚뾼싇좱믵늻늹뗄쟩뿶쿂늻쫊폃폚듋.뇘탫뷨훺폚볆쯣믺뢨훺쟳뷢릤뻟.늻,µe맽퓚듋횮잰,뇘탫뷢뻶죧뫎볆쯣mg(i)뗄컊쳢,틲캪tinkaya뫍Lee맘폚뿍뮧뗈듽돉놾뗄럖컶폫뷡싛퓚듋뒦죔좻쫊폃,닎볻컄쿗[4]훐쪽(14)ꆢ(15m)g(i)쫇룶컞쟮벶쫽쟒쓑틔뮯볲,볆쯣믺컞램뷸탐컞뫍(27)쿞쟳뫍퓋쯣.µ[4]etinkaya뫍Lee퓸룸돶쇋죧쿂뷼쯆,퓚듋늻ퟷힸ쫶.벴E[WRC]=wꛋ2TE[K]/2(39)mg(i)ꇖ1/(ꛋT)7)웚췻룏릤돉놾떫컞싛쫇쫽톧췆떼뮹쫇쫽횵퇩횤뚼쿔쪾헢룶뷼쯆퓚ꛓ>T쟩뿶쿂,릩펦짌춨맽ힷ볓뛮췢뗄룏쫇늻릻뺫좷뗄,쒳킩뻟쳥쫽횵듺죫쯹닺짺뗄컳닮릤돉놾붫늹믵쳡잰웚쯵뛌훁T,퓲쳡잰웚놻쯵뛌짵훁쫇늻뫏샭뗄[34],틲듋짡웺헢훖뷼쯆.놾컄붫max{0룹뻝튻뚨뗄풤짨뺫뛈튪쟳틔듋벶쫽뗄잰쿮뫍살뷼,ꛓ-T}떥캻.놾컄뾼싇쿟탔룏릤돉놾,늹믵솿캪(S-I쯆,뿉폃샠C폯퇔쏨쫶죧쿂0),퓲폐CRRC=cꆡfunctionmg(i){c(rS-I0)ꆤmax{0,ꛓ-T}(40)듓뛸precision=1ꇁ-n10;//n쫇ퟣ릻듳뗄헽헻쫽middleVal=0;E[CRRC]=cc(rS-ꛌ)ꇒꇞ(ꛓ-T)ꛗ(ꛓ)dꛓTꛋT(k)(=forꆡ(k=0;g(i)=kꛋi-kT)e>cc(rS-ꛌ)ꚴ(T)(41)i!' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ40ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2009쓪12퓂precision;k++)램폃살퓚맦뮮쟳뷢횮잰뻍뛏퇔3s=0.늻맽,뫜쿔middleVal+=(k)g(i);좻폐ꚴ(T)>-ꛋ0,eꛓT>0죴폃0살쳦뮻쪽(46)뫍return(middleVal);(47)뗄ퟳ뇟늿럖,뻍뿉뗃떽룼랽뇣쪹폃뗄뷏잿쳵}볾(볻뚨샭3,횤쏷싔),틲캪헢퇹뗄돤럖쳵볾폫죎폐쇋짏쫶뺫뛈뿉짨뗄뷼쯆쯣램,볆쯣믺뢨훺뫎뻶닟뇤솿뻹컞맘.쟳뷢뻍뿉탐쇋.짏쫶맦뮮컊쳢횻짦벰3룶뻶닟뇤뚨샭3ꆡ뿉탐닟싔(S,s,T)쇓폚닟싔(S-솿S,s뫍T,웤쯻뻹캪췢짺뇤솿,컊쳢맦쒣뷏킡쟒s,0,T)뗄돤럖(떫럇뇘튪)쳵볾쫇만뚨.뿉듓쒳룶뿉탐돵쪼닟싔돶랢,춨맽뗷폃웴랢쪽쯑쯷틽쟦EꛓꇜcR+cD-cS(48)(죧EXCELꆢMATLABꆢLINGO뗈쯹쳡h릩뗄뢨훺쟳뷢릤뻟,믲폃GA쯣램뇠킴)뻍뿉헒떽뛔폚뢺횸쫽럖늼쳡잰웚,듋쳵볾벴캪뻖늿ퟮ폅뷢.샭싛짏쮵,뻖늿ퟮ폅뷢훐쒿뇪몯쫽횵ꛋퟮ킡횵벴캪좫뻖ퟮ폅.믹폚듋,쳡돶죧쿂톰쟳좫뻖ꛓꇝh>0(49)cR+cD-cS쓢폅닟싔랽램뚨샭3틢캶ퟅ,죴짏쫶쳵볾뗃틔싺ퟣ,퓲죎뫎:늽훨1ꆡ내뻹퓈럖늼쯦믺닺짺ퟣ릻뛠돵쪼닟s>0뗄닟싔(S,s,T)뻹늻쫇ퟮ폅뗄,듋쪱뗄ퟮꆡ싔폅퓙뚩믵뗣뇘캪0.헢퇹,맦뮮컊쳢뻍볲뮯캪횻몬,탎돉돵쪼웴랢벯ꏐꎻꆡ늽훨2ꆡ헫뛔돵쪼닟싔벯ꏐ훐뗄쎿룶닟싔,솽룶뻶닟뇤솿뗄{minC(S,0,T)|Sꇊꆡ+;T>뗷폃볆쯣믺뢨훺쟳뷢릤뻟살웴랢쪽쯑쯷뻖늿폅뮯0},붵뗍쇋쟳뷢뢴퓓뛈.쇭췢,죴s=0퓲뇘폐ꛌ=0,닟싔(힢:폐킩돵쪼닟싔뿉쓜믡뗃떽쿠춬뗄뻖늿쓇쎴춨맽짡웺몬폐ꛌ뗄쿮,쒿뇪몯쫽믡뷸튻늽볲뮯.폅뮯뷢);4ꆡ쯣ꆡ샽헢튻늿럖붫쳡릩튻룶뗤탍쯣샽틔쮵쏷놾컄쒣3탍뗄펦폃.쯣샽훐뾼싇뢺횸쫽럖늼쳡잰웚.볌돐.6ꆡ뷸튻늽쳖싛힢틢떽춨맽쪽(42)뫍(44)뿉뗃돶죧쿂솽룶µ4]etinkaya뫍L[ee뗄쯣샽닎쫽횵,늢튲룸캴뢳횵뷡싛,헢뿉퓚튻뚨돌뛈짏볲뮯놾컄뗄컊쳢.닎쫽튻룶믹횵(볻뇭1).뚨샭2ꆡ뿉탐닟싔뇭1ꆡ쒣탍닎쫽믹횵(S,s,T)쇓폚닟싔(S-Table1Basevaluesofthemodelparameterss,0,T)뗄돤럖(떫럇뇘튪)쳵볾쫇ꚴ(T)ꇝhEꛓꛋꛋ+ꛓhADcDARcRcSwccrcS-cR-cD(46)h+1027505125530105ccr뛔폚뢺횸쫽럖늼쳡잰웚,듋쳵볾벴캪ꆡꆡ내헕잰쏦쳡돶뗄쟳뷢랽램,놾컄쯦믺짺돉쇋100룶돵쪼닟싔,늢붫m-ꛋg(i)뗄뺫뛈뿘훆퓚1ꇁeꛓTꇝh+(cS-cR-cD)ꛋꛓ(47)h+c-20cr10.듓헢킩돵쪼닟싔돶랢웴랢쪽쯑쯷돶좫뻖쓢횤쏷:볻뢽슼2.폅닟싔(볻뇭2).뚨샭2쯹쳡돶뗄쳵볾짦벰뻶닟뇤솿T,틲듋컞뇭2ꆡ좫뻖쓢폅뷡맻폫훐볤닎쫽횵Table2Quasi2optimalresultsandvaluesofthemiddleparameters쓢폅뷡맻훐볤닎쫽(S33,s,T3)E[HRC]E[RRC]E[DRC]E[PRC]E[WRC]E[CRRC](20,2,)(S33,s,T3)E[K]E[TRC]ꛘꚴ(T)ꛌ' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚6웚뛅짙뢦뗈:뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꆪ41ꆪ폚럂헦죎뫎닟싔죎뫎쒣탍닎쫽뗄뎤웚쪵쪩킧맻.5ꆡ쒣탍럂헦듋럂헦돌탲뗄훷튪ퟷ폃퓚폚퇩횤짏쫶럖컶쒣탍뗄폐킧탔,붫춨맽럖컶쒣탍뗃떽뗄좫뻖쓢폅닟싔ퟷ캪쇋퇩횤놾컄럖컶쒣탍뗄폐킧탔,퓚캪닎쫽살뗷폃듋럂헦돌탲뿉쒣쓢돶쿠펦뗄닟싔쪵MATLAB(냦놾:)폯퇔뮷뺳쿂뾪랢쇋쪩킧맻,냼삨훐볤닎쫽ꆢ뎤웚욽뻹돉놾벰웤ퟟ쫆폃뗄럂헦돌탲policy_simulator(params,춼.뇈뷏쒣탍폅뮯뷡맻뫍럂헦뷡맻,죴닮뻠뫜킡policy,simuCycles),웤훐닎쫽params랴펳죧뇭1짵훁뿉틔뫶싔,퓲놾컄쒣탍뗄폐킧탔뻍뗃떽쯹쪾뗄쒣탍췢늿닎쫽횵,닎쫽policy캪붫놻럂헦퇩횤.뗄쪱믹닟싔,뛸simuCycles퓲랴펳떥듎럂헦쯹ힷ붫policy_simulator펦폃폚쯣샽쯹쪾쟩탎:쓢ퟙ뗄늹믵훜웚쫽,듋닎쫽풽듳,풽쓜랴펳닟싔뎤웚폅닟싔(20,2,)놻뛀솢럂헦10듎,쎿듎룺쪵쪩킧맻(풴듺싫볻 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ42ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2009쓪12퓂캪튻냣뗄쟩탎.놾컄펦폃룼탂샭싛붨솢쇋쿠펦뗄6ꆡ뷡쫸폯쪱믹쒣탍,춨맽쟳뷢믬뫏헻쫽맦뮮뗃떽쓢폅닟싔.뎤웚쪵쪩듋닟싔붫ퟮ킡뮯뎤웚욽뻹돉놾.듋췢,놾놾컄뾼싇VMI쾵춳쿂듸쳡잰웚뗄SRSS컊컄뮹쳡릩쇋쏅뗄럂헦돌탲폃폚퇩횤쒣탍폐쳢,퓊탭좱믵,좱믵늻늹.퓚헽뎣쟩뿶쿂늹믵쳡잰킧탔.웚쫇쯦믺뗄,늻맽뛮췢ힷ볓룏릤돉놾뿉쯵뛌쳡잰놾컄뗄퇐뺿쫇퓚SRSS컊쳢훐쫗듎뾼싇쯦믺웚.놾컄볙짨Poisson탨쟳맽돌틔벰쿟탔룏릤돉늹믵쳡잰웚쟩뿶,폐훺폚럡뢻SRSS샭싛.뫳탸퇐놾,헢뿉볲뮯컊쳢폖늻쪧듺뇭탔.퓚듋쟩뿶쿂,뺿붫맘힢룼캪튻냣뗄ꆰ퓊탭좱믵,좱믵튪늹ꆱµ[4]etinkaya뫍Lee뗄뺭뗤SRSS쒣탍놻췘햹떽룼쟩탎.닎뾼컄쿗:[1]:Anothertoolinthecreditarsenal[J].BusinessCredit,1996,98(9):6ꆪ8.[2]DongY,[J].TransportationResearchPartE:LogisticsandTransportationReview,2002,38(2):75ꆪ95.[3]AvivY,(VMI)Programs[Z].WorkingPaper,WashingtonUniversity,1998.[4]µetinkayaS,[J].ManagementScience,2000,46(2):217ꆪ232.[5]HigginsonJK,[J].TransportationScience,1995,29(3):242ꆪ255.[6]:Inventory,vehiclesandterminals[J].JournalofBusinessLogistics,1987,8(2):57ꆪ73.[7]µetinkayaS,[J].TransportationResearchPartB:Methodological,2003,37(8):747ꆪ768.[8]ChingWK,[A].In:ComputationalScienceandItsApplications2ICCSA2005[C].2005,SpringerBerlin/ꆪ349.[9]뛅짙뢦,솺ꆡ飅,헅뺸붭,뗈.뾼싇닺욷뇤훊뗄VMI믬뫏늹믵랢믵닟싔벰폅뮯럂헦[J].훐맺맜샭뿆톧,2007,15(2):64ꆪ,LiangLiang,ZhangJing2Jiang,:Analyticalmodel,optimizationandsimulation[J].ChineseJournalofManagementScience,2007,15(2):64ꆪ69.(inChinese)[10]ChenFY,WangT,:Acomparisonofquantity2basedandtime2basedmodels[J].AnnalsofOperationsResearch,2005,135(1):197ꆪ210.[11][J].JournalofBusinessLogistics,1985,6(1):13ꆪ34.[12](s,S)policieswithdeliverytimeguaranteesformanufacturingsystemswithearlyset2up[J].ComputersandIndustrialEngineering,2001,40(3):249ꆪ257.[13]SoKC,,deliverytimeguaranteesandcapacityselection[J].EuropeanJournalofOperationalResearch,1998,111(1):28ꆪ49.[14][M].NewYork:North2Holland,1982.[15]RabinowitzG,MehrezA,ChuC2W,(r,Q)inventorysystemwithpoissondemandandconstantleadtime[J].ComputersandOperationsResearch,1995,22(7):689ꆪ700.[16]BookbinderJH,(Q,r)inventorysystems[J].EuropeanJournalofOperationalResearch,1999,115(2):300ꆪ313.[17]SheuS2H,[J].' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚6웚뛅짙뢦뗈:뾼싇쯦믺쟒뿉뿘쳡잰웚뗄쪱믹늹믵랢믵닟싔ꆪ43ꆪEuropeanJournalofOperationalResearch,2004,159(1):132ꆪ144.[18][J].ComputersandOperationsResearch,2003,30(3):411ꆪ426.[19]µakanyildirimM,BookbinderJH,[J].InternationalJournalofProductionEconomics,2000,68(3):217ꆪ228.[20]췵펭뻼,룟뻾뻾.릩펦솴럖쿺쾵춳폅뮯벰럂헦[J].맜샭뿆톧톧놨,2002,5(5):79ꆪ,[J].JournalofManagementSciencesinChina,2002,5(5):79ꆪ84.(inChinese)[21]HeijdenM,DiksE,[J].ORSpectrum,1999,21(3):331ꆪ359.[22]PanCHJ,[J].InternationalJournalofProductionResearch,2002,40(5):1263ꆪ1273.[23]PanCHJ,LoMC,[J].EuropeanJournalofOperationalResearch,2004,158(2):488ꆪ505.[24]OuyangL2Y,WuK2S,[J].ProductionPlanning&Control,2003,14(7):562ꆪ578.[25]OuyangL2Y,WuK2S,[J].InternationalJournalofProductionEconomics,2004,92(3):255ꆪ266.[26][A].In:IEEEInternational2EngineeringManagementConference[C].2005.[27]듯쟬샻,헅쟕,짲뫱닅.릩펦솴훐얣뇞킧펦컊쳢퇐뺿[J].맜샭뿆톧톧놨,2003,6(3):86ꆪ,ZhangQin,[J].JournalofManagementSciencesinChina,2003,6(3):86ꆪ93.(inChinese)[28]Axs¾(R,Q)policiesintwo2echeloninventorysystemswithcompoundpoissondemand[J].OperationResearch,2000,48(5):686ꆪ696.[29][M].SanFrancisco:Holden2Day,1970.[30][M].NewYork:JohnWiley&Sons,1971.[31][J].JournalofAppliedProbability,1997,34(2):395ꆪ403.[32]:AnAlgorithmicApproach[M].Chichester:JohnWiley&Sons,1994.[33][M].NewYork:JohnWiley&Sons,2003.[34]Axs¾[J].ManagementScience,2001,47(9):1306ꆪ,LIANGLiang,DONGJun2feng,,UniversityofScienceandTechnologyofChina,Hefei230026,China;,ChinaConstructionBank,Hefei230001,ChinaAbstract:Thispaperfocusesonatime2basedreplenishmentanddispatchingpolicyforStockReplenishmentandShipmentScheduling(SRSS),,asimulatingprogramisdevelopedtotrackthelong2runimplementing' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ44ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2009쓪12퓂:stockreplenishmentandshipmentscheduling(SRSS);poissonprocess;renewaltheory;simulation.뢽ꆡ슼듺죫떽쪽333()뿉뗃u(y+x0)=v(y+x0)+1.뚨샭1횤쏷쇮yꇔꆡꆡꆡꇆy3333v(y+x0-i)mg(i)()x-xi=00벴xꇔy+x0,늢듺죫떽쪽(8)훐,뗃떽볈좻yꇔ33x-x0,쓇쎴쪽33()튲뻍뗈볛폚u(y+x0)=v(y+x0)+ꇆy3u(y+x0-i)g(i)()x-x0i=0u(x)=v(x)+ꇆv(x-i)mg(i)횤뇏.죴뛔죎틢yꇊꆡ+뚨틥i=0U(y)ꇔu(y+x0),V(y)ꇔ2.뚨샭2횤쏷v(y+x0)튲벴평쪽(16)뗃U(ꆤ)뫍V(ꆤ)럖뇰쫇평u(ꆤ)뫍v(ꆤ)쿲폒욽틆x0떥캻뛸살.틗횪E[K(S,s,T)]=E[K(S-s,0,T)]||u쪽(19)쮵쏷뛔폚죎틢럇뢺S뻹폐ꛁ(S,0)=0.룹뻝쪽(y+x0-i)=U(y-i),(20)뿉횪ꛌ(S-s,0,T)=0,틲듋v(y+x0-i)=V(y-i)s-ꚤꛌ=s-[ꛌ(S,s,T)-ꛌ(S-s,0,T)]헢퇹ꆡꆡ=s-ꛌ(S,s,T)ꇝ0,쪽3()벴뗈볛폚평쪽(27)뗃U(y)=V(y)+ꇆyU33(y-i)g(i)()ꚤꛘ=ꛘ(S,s,T)-ꛘ(S-s,0,T)>0i=0쪽33()쫇룶뒫춳샫즢룼탂랽돌,펦폃뒫춳쟳뷢뚨샭룹뻝쪽(42)횪뿉뗃ꆡꚤC=C(S,s,T)-C(S-s,0,T)ꆡꆡU33(y)=V(y)+ꇆyV3(y-i)mg(i)()hꚤꛘ+[c=R+cD-cS-hEꛓ+(h+cc)ꚴ(rT)](s-ꚤꛌ)i=0TE[K]붫틲듋,죴U(y)ꇔu(y+x0),V(y)ꇔv(y+ꚴEꛓ+cS-cR-cD(T)ꇝhx0),h+ccrV(y-i)=v(y+x0-i)C(S-s,0,T)뇘킡폚C(S,s,T)횤뇏.' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
