The Algorithm to Locate the Optimal Solution for Production System Subject to Random Machine Breakdown and Failure in Rework for Supply Chain Management.

A lot of researchers try to use the conditional convexity to develop their solution procedure to locate the optimal solution. However, this paper indicates that the solution procedure to locate the optimal solution based on the conditional convexity has logical shortcomings from a mathematics point of view. So, the main purpose of this paper will provide the alternative approach to develop a recursive algorithm for determining the optimal solution without using the conditional convexity. Finally, this paper improves many existing articles. [ABSTRACT FROM AUTHOR]