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

• Published in: Journal of optimization theory and applications Vol. 158; no. 3; pp. 888 - 895
• Main Author: Chung, Kun-Jen
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.09.2013; Springer Nature B.V
• Subjects: Algorithms; Applications of Mathematics; Breakdowns; Calculus of Variations and Optimal Control; Optimization; Convex analysis; Costs; Defective products; Engineering; Inventory management; Manufacturing; Mathematical models; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Optimization algorithms; Random variables; Studies; Supply chain management; Theory of Computation; Rework; Repair; Breakdowns; Optimization; Production

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...