A comparison of several dynamic programming models of the made-to-order production situation

This paper examines the relationships among several dynamic programming models of the made-to-order production situation. The models consider the impacts of both learning and production rate changes on optimal program costs. The comparisons among the models suggest that a type of economic duality links the solutions. The results of this research suggest a method of transformation which may provide a useful means for finding tractable solutions to similar dynamic programming problems.