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A Markov time related to a priority system

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  • Edmond J. Vanderperre

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.

Suggested Citation

  • Edmond J. Vanderperre, 2006. "A Markov time related to a priority system," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-9, May.
    • Handle: RePEc:hin:jnlmpe:092613
    DOI: 10.1155/MPE/2006/92613
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