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A level-dependent general discrete system involving phase-type distributions

Juan Ruiz-Castro, Gemma Fernández-Villodre and Rafael Pérez-Ocón

IISE Transactions, 2009, vol. 41, issue 1, 45-56

Abstract: A discrete repairable redundant n-system with one online unit and the others in warm standby is presented. The operational and repair times follow general distributions and the phase-type representation is considered. It is shown that the process governing the system is a discrete level-dependent M/G/1 process. For this system, the stationary distribution, performance reliability measures in transient and stationary regime, the up period and the involved costs are worked out in a matrix and algorithmic form. The presented results have been computationally implemented using Matlab. An application illustrates the developed model.

Date: 2009
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DOI: 10.1080/07408170802322663

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