Ubicación óptima de reserva en un sistema serie con respecto al orden de tasa de fallo
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Keywords
Reliability, stochastic orders, redundancy allocations.
Abstract
In this paper, we consider the problem of alocating K active reserves, whose lifetimes are independent identically distributed random variables, equal to the system series components; with the purpose of optimizing system failure rate function. As opposed to the work by Sing and Singh, our discussion yields the same results using more elementary methods.
MSC: 62-xx, 62N05, 90B25
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References
[1] P. J. Boland, E. El-Neweihi y F. Proschan, Stochastic Order for Redundancy Allocations in Series and Parallel Systems, Adv. Appl. Prob. 24, 161–171 (1992).
[2] M. Shaked y J. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, Inc., 1994.
[3] S.M. Ross, Stochastic processes, second edition, John Willy & Sons, Inc., 1996.
[4] H. Singh y R.S. Singh, Note: Optimal Allocation of Resources to Nodes of Series Systems with Respect to Failure Rate Ordering, Naval Research Logistics, 44, 147–152 (1997).
[5] A. Müller y D. Stoyan, Comparison methods for stochastic models and risks, John Wiley & Sons, New York, 2002.
[2] M. Shaked y J. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, Inc., 1994.
[3] S.M. Ross, Stochastic processes, second edition, John Willy & Sons, Inc., 1996.
[4] H. Singh y R.S. Singh, Note: Optimal Allocation of Resources to Nodes of Series Systems with Respect to Failure Rate Ordering, Naval Research Logistics, 44, 147–152 (1997).
[5] A. Müller y D. Stoyan, Comparison methods for stochastic models and risks, John Wiley & Sons, New York, 2002.