A Markov time related to a priority system

Edmond J. Vanderperre

Mathematical Problems in Engineering, 2006, vol. 2006, 1-9

Abstract:

We consider a basic renewable duplex system characterized by cold standby and subjected to a priority rule. Apart from a general stochastic analysis presented in the previous literature, we introduce a Markov time called the recovery time of the system. In order to obtain the corresponding Laplace-Stieltjes transform, we employ a stochastic process endowed with transition measures satisfying generalized coupled differential equations. The solution is provided by the theory of sectionally holomorphic functions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:092613

DOI: 10.1155/MPE/2006/92613

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