Optimal lot sizing under learning considerations: The bounded learning case

In this paper we present a mathematical model for determining the optimal manufactured quantity under the consideration of learning. The learning phenomenon we assumed, considers the situation of nonzero lower limit bounded learning to occur, known as the De Jong learning curve. We also present an efficient approximation for the closed algebraic form of the total holding cost expression developed by Fisk and Ballou. Because the learning phenomenon is believed to have economic and decision-making implications in an inventory management system, it is the objective of the study presented herein to investigate the effect of learning on both optimum production quantity and minimum total inventory system cost.