具有多元马氏需求特征的多产品定价和库存问题及其最优(s,S,p)策略被引量：1

Optimality of (s,S,p) Policies in Pricing and Inventory of Multi-product with Multivariate Markovian Demand

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摘要多产品的最优(s,S,p)策略受系统的初始周期的库存水平和需求状态的影响,对多产品的需求状态做出合理的预测是优化库存和定价的关键问题。以多元马尔可夫模型为理论导向,建立了多产品的需求预测模型,并通过该模型确定了各种产品的需求之间的关系。同时,进一步证明了多产品的最优(s,S,p)策略的存在性,进而结合算例给出模型的最优策略的数值解。 Optimality of （s,S ,p） policies in multi-product inventory system would be affected by inventory level and demand states of the system in the initial horizon. A key problem in the optimization of inventory and pricing of this kind system is to make scientific prediction for multi-product demand states. In this paper, we address the theoretical analysis model of inventory and pricing for multi-product with markovian demand based on markovian theory, determine the relationship of demand states between all kinds of products. Further, we prove the exist of an optimality of （s,S,p） policies in multi- product inventory system with markovian demand, and give a numerical solution of optimal policy to the model through a numerical example.

作者陈杰陈志祥邢灵博陈崇萍

机构地区中山大学管理学院琼州学院理工学院

出处《系统工程》 CSSCI CSCD 北大核心 2015年第11期46-52,共7页 Systems Engineering

基金国家自然科学基金资助项目(71372154) 海南省自然科学基金资助项目(20151008 114011) 琼州学院校级青年基金资助项目(QYQN201446)

关键词定价库存多元马尔可夫模型最优(s S p)策略 Pricing Inventory Multivariate Markovian Model Optimality of （s,S,p） Policies

分类号 O211 [理学—概率论与数理统计] F253 [经济管理—国民经济]

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参考文献24

1Whitin T M. Inventory control and price theory[J]. Management Science, 1955,2 ( 1 ) : 61 - 68.
2Yu Y, Huang G Q, Liang L. Stackelberg game- theoretic model for optimizing advertising, pricing and inventory policies in vendor managed inventory (VMI) production supply chains[J]. Computers Industrial Engineering, 2009,57 (1) : 368 - 382.
3Huang Y, Huang G Q, Newman S T. Coordinating pricing and inventory decisions in a multi-level supply chain..A game-theoretic approach[J]. Transportation Research Part E.. Logistics and Transportation Review,2011,47(2) :115-129.
4Krishnan H, Winter R A. Inventory dynamics and supply chain coordination[J]. Management Science, 2010,56 (1) : 141- 147.
5Chen Z L,Hall N G. The coordination of pricing and scheduling decisions [J]. Manufacturing & Service Operations Management, 2010,12 ( 1 ) :77- 92.
6Chen H, et al. Coordination mechanism for the supply chain with leadtime consideration and price- dependent demand [J]. European Journal of Operational Research, 2010,203 (1) : 70- 80.
7Maihami R, Nakhai Kamalabadi I. Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand [J]. International Journal of Production Economics, 2012,136 (1) : 116- 122.
8Zhang J L, Chen J, Lee C Y. Coordinated pricing and inventory control problems with capacity constraints and fixed ordering cost [J]. Naval Research Logistics, 2012,59 (5) : 376- 383.
9Chen F Y, Ray S, Song Y. Optimal pricing and inventory control policy in periodic-review systems with fixed ordering cost andlost sales [J]. Naval Research Logistics,2006,53(2) : 117-136.
10Rui Yin, Rajaram. Joint pricing and inventory control with a Markovian Demand model [J]. European Journal of Operational Research, 2007, 182(1) :113-126.

二级参考文献92

1浦徐进,石琴,凌六一.鼓励零售商提前订货策略的进一步研究[J].管理科学,2005,18(6):6-11. 被引量：4
2宋晓兵,董大海.广告情感效果及其前因的实证研究[J].管理科学,2006,19(3):51-58. 被引量：11
3蔡建湖,黄卫来,周根贵.基于提前订购策略的供需双方动态博弈模型研究[J].管理工程学报,2007,21(2):126-129. 被引量：6
4Fitzsimmons, J. A, Fitzsimmons, M. J. Service Management: Operations, Strategy, Information Technology[M]. Fourth Edition, McGraw--Hill/Irwin, NY, 2004: 198.
5Zeithaml, V. A. , Parasuraman, A,. Berry, L. L. Delivering Quality Service, Balancing Customer Perceptions and Expectations [M]. The Free Press, NY, 1990.
6Yao, D. D. , Zheng, S. Inventory with substitution: Single-and multi-period models [C]. In: Stochastic Modeling and Optimization of Manufacturing Systems and Supply Chains, Shanthikumar, J. G. , Yao, D.D. and Zijm, W. H. M. (eds.), Kluwer, Chapter 8, 2003:177--202.
7Rao, U. , Swaminathan,J. , Zhang,J. Managing multiproduct inventory systems with setup costs using down- ward conversion [J]. IIE Transactions, 2004, 36: 59-- 71.
8Bassok, Y., Anupindi,R. , Akella, R. Single-period multi-product inventory models with substitution [J]. Operations Research, 1999, 47(4):632--642.
9McGuire, T., Staelin,R. Channel efficiency, incentive compatibility, transfer pricing, and market structure An equilibrium analysis of channel relationships [J]. Research in Marketing, 1986, 8: 161--192.
10Coughlan, A. T. , Wernerfelt, B. On credible delegation by oligopolists: A discussion of distribution channel management [J]. Management Science, 1989, 35 (2) : 226--239.