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A method for computing total downtime distributions in repairable systems

Part of: Special processes Stochastic processes Limit theorems Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Suyono  and
J. A. M. van der Weide
Suyono
Affiliation:
Universitas Negeri Jakarta
J. A. M. van der Weide*
Affiliation:
Delft University of Technology
*
∗∗Postal address: Delft University of Technology, HB 06.130, Mekelweg 4, 2628 CD Delft, The Netherlands. Email address: j.a.m.vanderweide@its.tudelft.nl
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Abstract

In this paper we derive the distribution of the total downtime of a repairable system during a given time interval. We allow dependence of the failure time and the repair time. The results are presented in the form of Laplace transforms which can be inverted numerically. We also discuss asymptotic properties of the total downtime.

Keywords

DowntimeLaplace transformLaplace–Stieltjes transformpoint process

MSC classification

Primary: 60E10: Characteristic functions; other transforms
Secondary: 60G55: Point processes 60F05: Central limit and other weak theorems 60K05: Renewal theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 40 , Issue 3 , September 2003 , pp. 643 - 653
Copyright
Copyright © Applied Probability Trust 2003 

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