Partial backordering EOQ with a limited backordered demand rate

摘要

There has been much work on the inventory problem of deterministic EOQ with partial backordering, and most of them have a basic assumption that backordered demand is instantly met at the start of next replenishment cycle, which means that the unsatisfied customers revisit the vendor with an infinite demand rate. This paper discusses another case that the unsatisfied customers fetch their backordered goods according to a limited arriving rate during the next order cycle, i.e., the unsatisfied customers have a limited demand rate, not an infinite demand rate. We build the mathematical model of the inventory problem and use an analytical method to solve it. To illustrate the optimal policy, we conduct some numerical examples and comparative analysis. The sensitivity analysis of the new parameter is also made to present some managerial insights.