Optimization Problems in a Queueing System with Breakdowns

  • Klaus-Peter Kistner
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 139)

Abstract

In Operations Research we generally use two main approaches to analyse the behavior of units or complex systems subject to failure:
  1. 1.

    renewal theoretic approaches

     
  2. 2.

    queueing theoretic approaches.

     

Keywords

Optimal Number Optimal Allocation Repair System Inventory Cost Partial System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Benson, F. and Cox, D.R., The Productivity of Machines Requiring Atten-tion at Random Intervals. J.R. Stat.Soc. B 13 (1951), p. 65–82.Google Scholar
  2. Gaver, D.P. jr., A Waiting Line with Interrupted Service, Including Priorities, J.R. Stat.Soc. B 24 (1962), p. 73–90.Google Scholar
  3. Kistner, K.-P., Betriebsstörungen und Warteschlangentheorie, KölnOpladen 1974.Google Scholar
  4. Kistner, K.-P., Betriebsstörungen bei Fließbändern, ZOR B 17 (1973), p. 47–65.Google Scholar
  5. Kistner, K.-P. und Subramanian, R., Die Zuverlässigkeit eines Systems mit redundanten störanfälligen Komponenten und Reparaturmöglichkeiten, ZOR A 18 (1974), p. 117–129.Google Scholar
  6. Molina, E.C., Poisson’s Exponential Binomial Limit, New York 1942. Naor, P., On Machine Interference, J.R. Stat. Soc. B 18 (1956), p. 280287.Google Scholar
  7. Naor, P., Some Problems of Machine Interference, Proceedings 1st. International Conference on OR, Baltimore 1961, p. 147–165.Google Scholar
  8. Palm, C., Arbetskraftens Fördelning vid Betjäning av Automatmashiner, Industritidningen Norden 75 (1947). Engl.translation: The Distribution of Repairmen in Servicing Automatic Machines, J. Ind. Eng. 9 (1958), p. 28 ff.Google Scholar
  9. Thiruvengadam, K., Queueing with Breakdowns, OR 11 (1963), p. 62–71.Google Scholar
  10. White, H. and Christie L.S., Queueing with Preemptive Priorities or Breakdowns, OR 6 (1958), p. 76–96.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1977

Authors and Affiliations

  • Klaus-Peter Kistner

There are no affiliations available

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