马氏需求和随机供应下的订货和定价问题

言小明 刘克

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (11) : 1346-1353.

PDF(390 KB)
PDF(390 KB)
系统科学与数学 ›› 2008, Vol. 28 ›› Issue (11) : 1346-1353. DOI: 10.12341/jssms10142
论文

马氏需求和随机供应下的订货和定价问题

    言小明 刘克
作者信息 +

Joint Replenishment and Pricing for Inventory System withRandom Supply and Markov-Modulated Demand

    YAN Xiaoming LIU Ke
Author information +
文章历史 +

摘要

考虑到零售商的固定订货费用以及在
供应商供货不确定因素的影响下,研究了零售商的联合定价和订货问题.在一定的
条件下,以极大化销售周期中的利润为准则,证明了
零售商联合订货和定价最优策略的存在性,并且得到了最优策略具有(s,S,p)的结构.分析了
供货的不确定性对最优策略的影响,特别是零售商所获得的最大利润与得到供货的概率成正比的关系,即每
阶段得到货的概率越大,零售商获得的利润越多.

Abstract

This paper is concerned with the problem of joint replenishment and pricing
for a single product with fixed ordering costs and random supply in
a fluctuated environment. Assume that the environment comprises a
Markov chain and that all of the parameters are dependent on the
environment state, such as supply, demand and cost structure, the
objective is to maximize the total profit during the whole sales
horizon by choosing an appropriate replenishment and pricing policy. Under mild conditions,
it is shown that the form of the optimal ordering and pricing policy
has an (s,S,p)-type. Moreover, the operational effects
of random supply on the optimal policy is analyzed, and it is proven that the optimal
profit is increasing with the probability of receiving the orders.

关键词

库存 / 定价 / 订货 / 马氏链.

Key words

Inventory / pricing / replenishment / Markov-Modulated demand.

引用本文

导出引用
言小明 刘克. 马氏需求和随机供应下的订货和定价问题. 系统科学与数学, 2008, 28(11): 1346-1353. https://doi.org/10.12341/jssms10142
YAN Xiaoming LIU Ke. Joint Replenishment and Pricing for Inventory System withRandom Supply and Markov-Modulated Demand. Journal of Systems Science and Mathematical Sciences, 2008, 28(11): 1346-1353 https://doi.org/10.12341/jssms10142
中图分类号: 90B05   
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