文献类型：期刊文献

英文题名：NEW STRUCTURAL PROPERTIES OF INVENTORY MODELS WITH POLYA FREQUENCY DISTRIBUTED DEMAND AND FIXED SETUP COST

作者：Xu, Yanyi[1];Bisi, Arnab[2];Dada, Maqbool[2]

机构：[1]East China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China;[2]Johns Hopkins Carey Business Sch, Baltimore, MD 21202 USA

年份：2017

卷号：13

期号：2

起止页码：931

外文期刊名：JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION

收录：;WOS:【SSCI(收录号:WOS:000398815200025)，SCI-EXPANDED(收录号:WOS:000398815200025)】；

基金：The first author is supported in part by the humanities and social sciences foundation of Chinese Ministry of Education under grant 12YJA630162.

语种：英文

外文关键词：Inventory; (s, S) policies; PFn distribution; lost sales; backorder

摘要：We study a stochastic inventory model with a fixed setup cost and zero order lead time. In a finite-horizon lost sales model, when demand has a Polya frequency distribution (PFn), we show that there are no more than a predetermined number of minima of the cost function. Consequently, depending on the relative cost of lost sales and inventory holding cost, there can be as few as one local minimum. These properties have structural implications for the optimal policies and cost functions. A necessary condition for the results to hold for the backordered model has been explained. We further conduct a numerical study to validate our structural results.