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Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a... Abstract In this paper a system consisting of two subsystems A and B is analyzed. A has only one unit while B has two units, B 1 and B 2 , connected in such a manner that B 2 is in hot standby with B 1 . The system is modelled by a marked point process. There are two repairmen namely a supervisor and a novice. The supervisor is always present, while the novice might be in vacation. Two types of failure of the components of B are considered. The model is analyzed under “preemptive-repeat repair discipline”. By employing Laplace transformation and assuming the Gumbel–Hougaard copula, the state transition probabilities, reliability, availability and expected profit are obtained along with the steady state behaviour of the system. At the end some special cases of the system are investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Economic Quality Control , Volume 25 (2) – Dec 1, 2010

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Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/eqc.2010.016
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper a system consisting of two subsystems A and B is analyzed. A has only one unit while B has two units, B 1 and B 2 , connected in such a manner that B 2 is in hot standby with B 1 . The system is modelled by a marked point process. There are two repairmen namely a supervisor and a novice. The supervisor is always present, while the novice might be in vacation. Two types of failure of the components of B are considered. The model is analyzed under “preemptive-repeat repair discipline”. By employing Laplace transformation and assuming the Gumbel–Hougaard copula, the state transition probabilities, reliability, availability and expected profit are obtained along with the steady state behaviour of the system. At the end some special cases of the system are investigated.

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2010

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