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Solution algorithms for a deterministic replacement problem
Zakir H. Ahmed
Pages - 233 - 242     |    Revised - 30-06-2010     |    Published - 10-08-2010
Volume - 4   Issue - 3    |    Publication Date - July 2010  Table of Contents
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KEYWORDS
Deterministic replacement, Lexisearch, Genetic algorithms, Bottleneck
ABSTRACT
We consider the life of a k-series system with n-k standbys, which are to replace the working items as they fail in a specified order. Also the life of each item is assumed to be known. The problem is to find the first k elements to be used in the system to start with and the sequence in which replacements are to be made such that the system life is maximized. It is pointed out that this problem is essentially a ‘bottle-neck’ problem in that it is equivalent to partitioning n numbers into k subsets (parts) such that the minimum of the k part-sums is maximized. Effective bounds can be computed for the optimum solution value and this can be used to develop an efficient lexisearch algorithm for optimization. Also the paper develops a genetic algorithm which gives heuristically optimal solution to the problem. The efficiency of the genetic algorithm to the ‘bottle-neck’ maximin problem as against lexisearch algorithm has been examined for some randomly generated instances of different sizes.
CITED BY (2)  
1 P. Biswas and S. Pramanik. “Replacement Problem with Grey Parameters.” International Journal of Computer Applications, 32(9), pp. 11-16, October 2011.
2 Biswas, P., & Pramanik, S. (2011). Replacement Problem with Grey Parameters. International Journal of Computer Applications (0975-8887), 32(9), 11-16.
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Mr. Zakir H. Ahmed
- Saudi Arabia
zhahmed@gmail.com