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...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 158; no. 3; pp. 888 - 895
Main Author Chung, Kun-Jen
Format Journal Article
LanguageEnglish
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
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Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-012-0160-0