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ISSN:2222-7059 (Print);EISSN: 2222-7067 (Online)
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Title : A Constrained Cost Minimizing Redundancy Allocation Problem in Coherent Systems with Non-overlapping Subsystems
Author(s) : Debasis Bhattacharya, Soma Roychowdhury
Author affiliation : 1 Visva-Bharati University, Santiniketan, India
2 Indian Institute of Social Welfare and Business Management, Calcutta, India
Corresponding author img Corresponding author at : Corresponding author img  

The present paper considers the allocation of redundancy to coherent systems with competing choices of system-components, while minimizing the total cost of adding redundancy, subject to a predetermined level of system reliability. Use of redundancy to enhance system reliability increases the total design cost. This paper resolves a cost minimizing redundancy allocation problem (CMRAP) in a coherent system, where total cost of using redundancy is minimized subject to a given reliability target. A numerical example has been included to explicate the method. A sensitivity analysis has been done to study the sensitivity of the optimal solution, related cost and the gain in system reliability to the reliability targets. It has been observed that the solution is robust within a group of reliability targets, but they are sensitive from one group to the other. No fixed form of component life distribution has been assumed here, which added enough flexibility in application of this method.

Key words:Coherent system; Cost minimization; Redundancy; Reliability target; System reliability

Cite it:
Debasis Bhattacharya, Soma Roychowdhury, A Constrained Cost Minimizing Redundancy Allocation Problem in Coherent Systems with Non-overlapping Subsystems, Advances in Industrial Engineering and Management, Vol.3, No.3, 2014, pp.1-6, doi: 10.7508/AIEM-V3-N3-1-6

Full Text : PDF(size: 268.36 kB, pp.1-6, Download times:260)

DOI : 10.7508/AIEM-V3-N3-1-6

[1] D. F. Morrison, The optimum allocation of spare components in systems, Technometrics, 3(3), 399-406 (1961).
[2] P.J. Boland, E. El-Neweihi and F. Proschan, Stochastic order for redundancy allocation in series and parallel systems, Adv. Appl. Prob., 24, 161-171 (1992).
[3] M. Shaked and J.G. Shanthikumar, Optimal allocation of resources to nodes of parallel and series systems, Adv. Appl. Prob., 24, 894-914 (1992).
[4] D.W. Coit and A.E. Smith, Reliability optimization of series-parallel systems using a genetic algorithm, IEEE Trans. Reliab., 45, 254-260 (1996).
[5] F. Ahmadizar and H. Soltanpanah, Reliability optimization of a series system with multiple-choice and budget constraints using an efficient ant colony approach, Expert Systems with Applications, 38, 3640-3646 (2011).
[6] N. Ruan and XL. Sun, An exact algorithm for cost minimization in series reliability systems with multiple component choices, Appl. Math. Comput., 181, 732-741 (2006).
[7] R.E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, To Begin with, Silver Spring, MD (1981).
[8] H.W. Kuhn and A.W. Tucker, Nonlinear programming, in Proceedings of Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, California, 481-492 (1951).

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