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Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results

Revisiting the model of servicing machines with repairable service facility-a new analyzing idea... In this paper the model of servicing machines with repairable facility is further studied. By standard conditioning decomposition argument, two reliability indices-the probability that the service facility fails at time t and the expected number of failure occurring during (0, t] are discussed. Some important relations of them are given. Furthermore, some new reliability problems are presented and discussed as follows: 1) The numbers of the service facility failures during the generalized service time and the generalized busy period; 2) The asymptotic expansion of the expected failure number of the service facility during (0, t]. A series of new reliability results of the service facility are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results

Tang, Ying-hui
Acta Mathematicae Applicatae Sinica , Volume 26 (4) – Mar 23, 2009
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10 pages

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Publisher
Springer Journals
Copyright
Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-008-8029-6
Publisher site
See Article on Publisher Site

Abstract

In this paper the model of servicing machines with repairable facility is further studied. By standard conditioning decomposition argument, two reliability indices-the probability that the service facility fails at time t and the expected number of failure occurring during (0, t] are discussed. Some important relations of them are given. Furthermore, some new reliability problems are presented and discussed as follows: 1) The numbers of the service facility failures during the generalized service time and the generalized busy period; 2) The asymptotic expansion of the expected failure number of the service facility during (0, t]. A series of new reliability results of the service facility are obtained.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Mar 23, 2009

References

  • Mathematical theory of reliability
    Barlow, R.E.; Proschan, F.
  • Reliability analysis of a one-unit system
    Barlow, R.E.; Hunter, L.C.
  • Analysis of a machine service model with a repairable service equipment
    Cao, J.H.
  • Reliability analysis of a two-unit cold standby system with a replaceable repair facility
    Cao, J.H.; Wu, Y. H.
  • Reliability analysis of a multistate system with a replaceable repair facility
    Cao, J.H.; Wu, Y.H.
  • The time-dependent availability, of repairable m-out-of-n and cold standby systems by arbitrary distributions and repair facilities
    Gurov, S.V.; Uikin, L.V.
  • Transient analysis of an M/M/1 queue subject to catastrophes and server failures
    Kumar, B.K.; Madheswari, S.P.
  • Stochastic analysis of a repairable system with three units and two repair facilities
    Li, W.; Alfa, A.S.; Zhao, Y.Q.
  • Stochastic processes
    Ross, S.M.
  • Introduction to the theory of queues
    Takacs, L.
  • Queueing Theory
    Tang, Y.H.; Tang, X.W.
  • Some reliability problems arising in GI/G/1 queueing system with repairable service station
    Tang, Y. H.
  • A Two-unit cold standby repairable system with one replaceable repair facility and delay repair
    Wei, Y.Y.; Tang, Y.H.
  • Reliability analysis of a two-unit parallel repairable system with a replaceable repair facility
    Zhou, J.L.