An inventory system with demand dependent on both time and price assuming backlogged shortages

作者:San Jose Luis A*; Sicilia Joaquin; Alcaide Lopez de Pablo David
来源:European Journal of Operational Research, 2018, 270(3): 889-897.
DOI:10.1016/j.ejor.2017.10.042

摘要

In this work we analyze an inventory model for items whose demand is a bivariate function of price and time. It is supposed that the demand rate multiplicatively combines the effects of a time-power function and a price-logit function. The aim is to maximize the profit per time unit, assuming that the inventory cost per time unit is the sum of the holding, shortage, ordering and purchasing costs. An algorithm is developed to find the optimal price, the optimal lot size and the optimal replenishment cycle. Several numerical examples are introduced to illustrate the solution procedure.

  • 出版日期2018-11-1