On constrained reliability maximization using active redundancy in coherent systems with non-overlapping subsystems
The paper investigates the 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.
[1] Morrison, D. F., The optimum allocation of spare components in systems, Technometrics, 3(3), 399-406 (1961).
[2] Misra, K.B., Least square approach for system reliability optimization, International Journal of Control, 17(1), 199-207 (1973).
[3] 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).
[4] 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).
[5] Hsieh, Y-C., A linear approximation for redundant reliability problems with multiple component choices, Computer and Industrial Engineering, 44, 91-103 (2002).
[6] Liu, G-S., A combination method for reliability - redundancy optimization, Engineering Optimization, 38(4), 485-499 (2006).
[7] 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).
[8] Bhattacharya, D. and Roychowdhury, S., A constrained cost minimizing redundancy allocation problem in coherent systems with non-overlapping subsystems, Advances inIndustrial Engineering and Management, 3(3), 1-6 (2014).
[9] Barlow, R.E. and Proschan, F., Statistical Theory of Reliability and Life Testing, To Begin with, Silver Spring, MD (1981)