Availability analysis of a repairable duplex system: a z-dependent Sokhotski–Plemelj problem

E. Vanderperre () and S. Makhanov ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 3, 976-996

Abstract: We analyse the point availability of a repairable duplex system characterized by cold standby and by a priority rule. The system is attended by two (general) heterogeneous repairmen. To describe the random behaviour of the system, we introduce a stochastic process endowed with probability measures satisfying (coupled) partial differential equations. The solution procedure is based on the theory of sectionally holomorphic functions combined with the notion of dual transforms. The unique solution of the equations determines the point availability of the system. Computational results for the point availability are derived by a numerical solution of an appropriate integral equation. Copyright Sociedad de Estadística e Investigación Operativa 2014

Keywords: Cold standby; Priority rule; Point availability; Functional equation; Cauchy integral; Weibull–Gnedenko distribution; 60K10 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:topjnl:v:22:y:2014:i:3:p:976-996

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DOI: 10.1007/s11750-013-0307-7

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