On constrained reliability maximization using active redundancy in coherent systems with non-overlapping subsystems

Authors

  • Debasis Bhattacharya Visva-Bharati University, Santiniketan
  • Soma Roychowdhury

DOI:

https://doi.org/10.11121/ijocta.01.2015.00205

Keywords:

coherent system, redundancy, reliability optimization, system reliability

Abstract

The paper investigates a problem of constrained reliability maximization by allocating redundancy and proposes how to solve it for a broad group of complex coherent systems. Redundancy is an effective engineering tool to enhance system reliability to make a system fail-safe. Since adding redundancy increases the cost and complexity of a system design, it should be used wisely. The work considers an exact solution to the problem under resource constraints and finds optimal redundancy numbers. The proposed method can accommodate any number of constraints. Numerical examples have been included. A sensitivity analysis has been carried out to show how sensitive the optimal allocation of redundant components and the gain in system reliability are to the budget allocation.

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Author Biographies

Debasis Bhattacharya, Visva-Bharati University, Santiniketan

Professor of Statistics

Soma Roychowdhury

Professor of Statistics

References

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Shaked, M. and Shanthikumar, J.G., Optimal allocation of resources to nodes of parallel and series systems, Advances in Applied. Probability, 24, 894-914 (1992). Crossref

Boland, P.J., El-Neweihi, E. and Proschan, F., Stochastic order for redundancy allocation in series and parallel systems, Advances in Applied Probability, 24, 161-171 (1992). Crossref

Hsieh, Y-C., A linear approximation for redundant reliability problems with multiple component choices, Computer and Industrial Engineering, 44, 91-103 (2002). Crossref

Liu, G-S., A combination method for reliability - redundancy optimization, Engineering Optimization, 38(4), 485-499 (2006). Crossref

Prasad, V. R., Kuo, W. and Kim, K. O., Maximization of a percentile life of a series system through component redundancy allocation, IIE Transactions, 33(12), 1071-1079 (2001). Crossref

Bhattacharya, D. and Roychowdhury, S., A constrained cost minimizing redundancy allocation problem in coherent systems with non-overlapping subsystems, Advances in Industrial Engineering and Management, 3(3), 1-6 (2014).

Barlow, R.E. and Proschan, F., Statistical Theory of Reliability and Life Testing, To Begin with, Silver Spring, MD (1981).

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Published

2014-10-25
CITATION
DOI: 10.11121/ijocta.01.2015.00205
Published: 2014-10-25

How to Cite

Bhattacharya, D., & Roychowdhury, S. (2014). On constrained reliability maximization using active redundancy in coherent systems with non-overlapping subsystems. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 5(1), 33–39. https://doi.org/10.11121/ijocta.01.2015.00205

Issue

Section

Optimization & Applications