Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements

Abstract

Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011) develop an inventory model with backlogging to determine the optimal ordering policies in response to a discount offer. In the paper, there are some technical errors in developing of the optimal ordering policies. This paper presents the correct mathematical expressions and the solution to the numerical examples. Furthermore, this study also provides the closed forms for the optimal total gain costs that were not given by Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011).