考虑保鲜投资的非即时腐败品库存及定价策略
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摘要
研究了考虑保鲜技术投资成本、允许缺货且缺货量部分延迟订购的非即时腐败品的库存和定价联合决策问题。首先,在保鲜期小于库存持有周期和保鲜期大于等于库存持有周期两种情况下分别构建了相应的库存和定价联合决策模型,证明并得到模型解的存在性和唯一性条件。最后,通过两种情况下的算例展示了模型的有效性,并对重要参数的灵敏度进行了分析。结果表明:保鲜技术投资和保鲜期都对定价和订购策略以及利润具有重要影响,与库存水平相关的保鲜技术投资的增加将使服务水平和利润先增加后减少,而产品保鲜期的延长使服务水平和平均利润均有显著提高。
The inventory and pricing problem of non-instantaneously deteriorating products incorporating preservation technology investment and partial backlogging was studied in this paper. First, inventory-pricing models were established both in the cases of the inventory period longer than the shelf-time and the inventory period shorter than the shelf-time. Then, the conditions under which the unique solution existed were obtained. Finally, some numerical examples were taken to illustrate the effectiveness of the model and some sensitive analyses on the main parameters were conducted. The results show that parameters, such as preservation technology investment and shelf-time, could exert significant effects on the inventory-pricing strategy as well as the average profit. Specifically, the increase of the preservation technology related to the inventory could first raise the service rate and then reduce it, as is the case for the average profit. The increase in shelf-time has positive effects on both rate service and average total profit.
The inventory and pricing problem of non-instantaneously deteriorating products incorporating preservation technology investment and partial backlogging was studied in this paper. First, inventory-pricing models were established both in the cases of the inventory period longer than the shelf-time and the inventory period shorter than the shelf-time. Then, the conditions under which the unique solution existed were obtained. Finally, some numerical examples were taken to illustrate the effectiveness of the model and some sensitive analyses on the main parameters were conducted. The results show that parameters, such as preservation technology investment and shelf-time, could exert significant effects on the inventory-pricing strategy as well as the average profit. Specifically, the increase of the preservation technology related to the inventory could first raise the service rate and then reduce it, as is the case for the average profit. The increase in shelf-time has positive effects on both rate service and average total profit.
引文
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[2] Chen X,Simchi-Levi D.Coordinating inventory control and pricing strategies with random demand and fixed ordering cost:The continuous review model[R].Cambridge,MA:Working Paper,OR Center,MIT,2002.
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[11] 黄松,杨超,张曦.考虑战略顾客行为时的两阶段报童模型[J].系统管理学报,2011,20(1):63-70.
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[13] 王磊,但斌.考虑保鲜影响消费者时变效用的生鲜农产品多品种订货模型[J].系统管理学报,2013,22(5):647-654.
[14] 赵忠,王淑云,李波.时变需求下基于两级信用支付的易腐品订货模型[J].系统管理学报,2016,25(1):83-89.
[15] 余玉刚,梁樑,王晨,等.一种考虑最终产品变质的供应商管理库存集成模型[J].中国管理科学,2004,12(2):32-37.
[16] 刘斌,崔文田.缺货损失高于补货成本的易逝品供应链协调[J].管理工程学报,2009 (3):150-152.
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[18] 刘珩,潘景铭,唐小我.基于损失厌恶型参与者的易逝品供应链价格补贴契约研究[J].管理工程学报,2011,25(3):24-30.
[19] 闫妍,刘晓,庄新田,等.基于弹性供应链的易腐品物流配送计划[J].系统管理学报,2012,21(2):258-263.
[20] Hsieh T P,Dye C Y.A production-inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time [J].Journal of Computational and Applied Mathematics,2013,239:25-36.
[21] He Y,Huang H.Optimizing inventory and pricing policy for seasonal deteriorating products with preservation technology investment[J].Journal of Industrial Engineering,2013,http://dx.doi.org/10.1155/2013/793568.
[22] Ouyang L Y,Wu K S,Yang C T.A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments[J].Computers & Industrial Engineering,2006,51(4):637-651.
[23] Hsu P H,Wee H M,Teng H M.Preservation technology investment for deteriorating inventory[J].International Journal of Production Economics,2010,124(2):388-394.
[24] Dye C Y.The effect of preservation technology investment on a non-instantaneous deteriorating inventory model[J].Omega,2013,41(5):872-880.
[25] Schaible S.Fractional programming[J].Mathematical Methods of Operations Research,1983,27:39-54.
[26] Cambini A,Martein L.Generalized convexity and optimization:Theory and applications[M].[s.l.]:Springer Science & Business Media,2008.
[2] Chen X,Simchi-Levi D.Coordinating inventory control and pricing strategies with random demand and fixed ordering cost:The continuous review model[R].Cambridge,MA:Working Paper,OR Center,MIT,2002.
[3] Thowsen G T.A dynamic,nonstationary inventory problem for a price-quantity setting firm[J].Naval Research Logistics Quarterly,1975,22(3):461-476.
[4] Federgruen A,Heching A.Combined pricing and inventory control under uncertainty[J].Operations research,1999,47(3):454-475.
[5] Ghare P M,Schrader G F.A model for exponentially decaying inventory[J].Journal of Industrial Engineering,1963,14(5):238-243.
[6] Dye C Y.Joint pricing and ordering policy for a deteriorating inventory with partial backlogging[J].Omega,2007,35(2):184-189.
[7] Covert R P,Philip G C.An EOQ model for items with Weibull distribution deterioration[J].AIIE transactions,1973,5(4):323-326.
[8] Chakrabarty T,Giri B C,Chaudhuri K S.An EOQ model for items with Weibull distribution deterioration,shortages and trended demand:an extension of Philip's model[J].Computers & Operations Research,1998,25(7):649-657.
[9] Duan Y,Luo J,Huo J.Buyer-vendor inventory coordination with quantity discount incentive for fixed lifetime product[J].International Journal of Production Economics,2010,128(1):351-357.
[10] 李根道,熊中楷,聂佳佳.库存和价格影响需求的易逝品动态定价[J].系统管理学报,2009,18(4):402-409.
[11] 黄松,杨超,张曦.考虑战略顾客行为时的两阶段报童模型[J].系统管理学报,2011,20(1):63-70.
[12] 段永瑞,李贵萍,霍佳震.部分延迟订购的 Weibull 分布变质品库存策略研究[J].管理工程学报,2013 (3):205-213.
[13] 王磊,但斌.考虑保鲜影响消费者时变效用的生鲜农产品多品种订货模型[J].系统管理学报,2013,22(5):647-654.
[14] 赵忠,王淑云,李波.时变需求下基于两级信用支付的易腐品订货模型[J].系统管理学报,2016,25(1):83-89.
[15] 余玉刚,梁樑,王晨,等.一种考虑最终产品变质的供应商管理库存集成模型[J].中国管理科学,2004,12(2):32-37.
[16] 刘斌,崔文田.缺货损失高于补货成本的易逝品供应链协调[J].管理工程学报,2009 (3):150-152.
[17] 陈晓旭,王勇,于海龙.3PL 参与的时变需求变质品三级供应链模型[J].中国管理科学,2014,22(1):65-73.
[18] 刘珩,潘景铭,唐小我.基于损失厌恶型参与者的易逝品供应链价格补贴契约研究[J].管理工程学报,2011,25(3):24-30.
[19] 闫妍,刘晓,庄新田,等.基于弹性供应链的易腐品物流配送计划[J].系统管理学报,2012,21(2):258-263.
[20] Hsieh T P,Dye C Y.A production-inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time [J].Journal of Computational and Applied Mathematics,2013,239:25-36.
[21] He Y,Huang H.Optimizing inventory and pricing policy for seasonal deteriorating products with preservation technology investment[J].Journal of Industrial Engineering,2013,http://dx.doi.org/10.1155/2013/793568.
[22] Ouyang L Y,Wu K S,Yang C T.A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments[J].Computers & Industrial Engineering,2006,51(4):637-651.
[23] Hsu P H,Wee H M,Teng H M.Preservation technology investment for deteriorating inventory[J].International Journal of Production Economics,2010,124(2):388-394.
[24] Dye C Y.The effect of preservation technology investment on a non-instantaneous deteriorating inventory model[J].Omega,2013,41(5):872-880.
[25] Schaible S.Fractional programming[J].Mathematical Methods of Operations Research,1983,27:39-54.
[26] Cambini A,Martein L.Generalized convexity and optimization:Theory and applications[M].[s.l.]:Springer Science & Business Media,2008.