A note on an EOQ model with stock and price sensitive demand

作者:Mo, Jiangtao*; Mi, Fangfang; Zhou, Fangming; Pan, Hongjuan
来源:Mathematical and Computer Modelling, 2009, 49(9-10): 2029-2036.
DOI:10.1016/j.mcm.2008.10.012

摘要

In this paper, we explore the inventory replenishment policy for the kind of items in which the demand is sensitive to stock and selling price. As a matter of fact, the inventory system discussed by this paper is the same as that of Peng-Sheng You et al.[Peng-Sheng You, Yi-ChihHsieh, An EOQ model with stock and price sensitive demand, Mathematical and Computer Modelling 45(2007)933-942]. However, they only gave the optimal decision rules without price change, with a single price change and with two price changes. Here, for any given n, the times of price changes, we give a sufficient condition for optimal decision rules and develop the closed form of the optimal prices. Finally, several numerical examples are given to illustrate the theoretical results.