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1、基于库存价值改变和随机需求的经济订货批量模型??21????9><>3??????????Vo.l21No.<>32008??aname=baidusnap7><76?>3?JOURNALOFMANAGEMENTSCIENCESJune,2008???>3????????>3???э??????7??>3??????????????7??????徐贤浩,陈斯瑜??7?>3?>3???????????????>3?>3,????4<>300<74?>3??>3?:大多数库存研究的重点都集中在各种复
2、杂的限制条件和模型的变换上,没有考虑到库存本身可能发生贬值或增值的情况,而实际中库存本身常常会发生价值变化b针对以往库存模型中没有考虑库存价值变化的问题,提出了在需求为随机连续分布a库存价值发生变化情况下的单周期经济订货批量模型,给出了最优订货策略b模型中以先进先出为假设条件,基于报童模型的思想,以订货量为决策变量a期望收益为目标函数,结合随机需求的分布情况得到最优订货量和最大期望收益,并给出了相应的数学证明b通过算例对模型进行说明,并对影响最优订货批量和最大期望收益的各个参数进行敏感性分析b?
3、???>3??:价值变化;先进先出;经济订货批量模型;报童问题?>3?>3??7??????:F2<70??????????:A???>3?щ??:16<72-0<>3<>34(2008)0<>3-0009-0<7EconomicOrderQuantityModelforValueChangeInventorywithRandomDemandXUXian-hao,CHENS-iyuSchoolofManagement,HuazhongUniversityofScience&Technol
4、ogy,Wuhan4<>300<74,ChinaAbstract:Mostofresearchoninventorycontrolfocusonthecomplexrestrictionsandtransformsofmathe-maticalmode,lwithoutconsideringthesituationthatthevalueofinventorymayaddordepreciate.However,inventoryvaluewillincreaseorreduceintherea
5、lworld.Tosolvethisproblem,thispapersetupasinglecycleeconomicorderquantitymodelundertheconditionthatthevaluechangingofinventorywillhappen.Accordingtothestochasticdemand,theoptimalorderpolicywasgiven.Basedontheassumptionoffirst-in-first-out,themodelcom
6、binedtheideaofnewsboyproblems,usedtheorderquantityasthedecisionvariable,setupanob-jectivefunctionforexpectedprofitandprovidedmathematicalproo,fwithconsideringthestochasticdemand,optimalorderquantityandoptimalexpectedprofit.Theresultswereillustratedwi
7、thnumericalexamplesandsensitivityanalysiswasprovidedforrelatedparameters.Keywords:valuechange;first-in-first-out;economicorderquantitymode;lnewsboyproblem1?>3??>3?7??????>3??>3э??b???????>3?>3???>3????>3??>3??????>3?>3?>3????????????????????>3?>3,???
8、?????????>3??>3??>3??????,???>3?????>3??>3э??????????????????,?????>3?????>3?>3?>3?????>3???????????????>3???????????>3?,?>3??>3?????????>3???????>3??????????>3??????>3?????э??,????????>3??,?????>3????????>3??>3???7?>3?7??????????????>3????????>3?>3?
