具有模糊提前期内需求的库存模型

代颖

具有模糊提前期内需求的库存模型

代颖

基金项目:

国家社会科学基金项目(07CJY019)

四川省教育厅人文社会科学研究课题(川油气科SK06-14)

西南交通大学基础科学研究基金的资助(2005B01)

详细信息

作者简介:
代颖(1975- ),女,副教授,博士,研究方向为物流系统优化、逆向物流与循环经济.E-mall:ydai@home.swjtu.edu.cn

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出版历程
- 收稿日期: 2007-10-08
- 刊出日期: 2008-08-25

Inventory Model with Fuzzy Demand during Lead Time

DAI Ying

摘要

摘要: 为解决具有模糊提前期内需求的库存管理问题,针对采用(Q,r)库存策略的单类物品库存系统,基于模糊理论建立了提前期内需求为三角模糊数的最优订货批量模型,并用模糊数的期望值法求得提前期内需求的期望值以及重心法解模糊化求得模糊期望缺货量,从而确定最佳订货点和最优订购批量,使得年库存总成本最小.最后,给出了一个算例,以验证该模型的有效性.
- 库存模型 /
- 模糊需求 /
- 提前期 /
- (Q,r)策略
Abstract: To deal with the inventory management problem with fuzzy demand during the lead time,the fuzzy set theory was applied to single-product inventory systems using(Q,r) policy.Uncertain demand during the lead time was characterized by a triangular fuzzy number,and an optimal order quantity model was established.The expected value method was adopted to obtain the expected value of the fuzzy demand during the lead time,and the center of gravity defuzzification method was applied to calculate the fuzzy expected value of the shortage.As a result,the minimized expected total annual cost was determined by a corresponding order point and quantity.Finally,a numerical example was given to illustrate the validity of the established model.
- inventory model /
- fuzzy demand /
- lead time /
- (Q,r) policy

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参考文献(1)

代颖,马祖军,武振业.模糊需求环境下的连续盘点(Q,r)库存模型[J].预测,2005,24(6):71-73.DAI Ying,MA Zujun,WU Zhenye,Continuous review (Q,r) inventory models with fuzzy demand[J].Forecasting,2005,24(6):71-73.[2] KACPRYZK J,STANIEWSKI P.Long-term inventory policy-making through fuzzy decision-making models[J].Fuzzy Sets and Systems,1982,8(2):117-132.[3] PARK K S.Fuzzy set theoretic interpretation of economic order quantity[J].IEEE Transactions on Systems,Man and Cybernetics,1987,17(6):1082-1084.[4] PETROVIC D,PETROVIC R,VUJOSEVIC M.Fuzzy models for the newsboy problem[J].International Journal of Production Economics,1996,45(1-3):435441.[5] CHANG S C,YAO J S.Economic reorder point for fuzzy backorder quantity[J].European Journal of Operational Research,1998,109(1):183-202.[6] VUJOSEVIC M,PETROVIC D,PETROVIC R.EOQ formula when inventory cost is fuzzy[J].International Journal of Production Economics,1996,45(1-3):499-504.[7] ROY T K,MAIT M.A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity[J].European Journal of Operational Research,1997,99(2):425-432.[8] GEN M,TSUJIMURA Y,ZHENG P.An application of fuzzy set theory to inventory control models[J].Computers & Industrial Engineering,1997,33(3-4):553-556.[9] CHEN S H,WANG C C.Backorder fuzzy inventory model under function principle[J].Information Science,1996,95(1):71-79.[10] KAO C,HSU W K.A single-period inventory model with fuzzy demand[J].Computer and Mathematics with Applications,2002,43(6):841-848.[11] LILS,KABADISN,NAIRKPK.Fuzzy models for single-period inventory problem[J].Fuzzy sets and systems,2002,132(3):273-289.[12] DUTTA P,CHAKRABORTY D,ROY A R.A single-period inventory model with fuzzy random variable demand[J].Mathematical and Computer Modeling,2005,41 (8-9):915-922.[13] PETROVIC D,ROY R,PETROVIC R.Supply chain modeling using fuzzy sets[J].International Journal of Production Economics,1999,59(1-3):443-453.[14] GIANNOCCARO I,PONTRANDOLFO P,SCOZZI B.A fuzzy echelon approach for inventory management in supply chains[J].European Journal of Operational Research,2003,149(1):185-196.[15] HEILPERN S.The expected value of a fuzzy number[J].Fuzzy Sets and Systems,1992,47 (1):81-86.

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文章访问数: 1426
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具有模糊提前期内需求的库存模型

作者简介: 代颖(1975- ),女,副教授,博士,研究方向为物流系统优化、逆向物流与循环经济.E-mall:ydai@home.swjtu.edu.cn

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Inventory Model with Fuzzy Demand during Lead Time

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作者简介:
代颖(1975- ),女,副教授,博士,研究方向为物流系统优化、逆向物流与循环经济.E-mall:ydai@home.swjtu.edu.cn