Using the algebraic approach to determine the replenishment optimal policy with defective products, backlog and delay of payments in the supply chain management

Abstract

Li et al. [Journal of Industrial and Management Optimization 5 (2009) 867-880] develop a model to determine an optimal replenishment policy with defective items and shortage backlogging under conditions of permissible delay in payments. They used the optimization technique based on differential calculus to determine an optimal replenishment policy. The main purpose of this paper is to solve the inventory problem in Li et al. (2009) by the algebraic method to simplify the solution procedures.