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Queueing Systems

, Volume 19, Issue 3, pp 231–246 | Cite as

Estimation of retrial rate in a retrial queue

  • Gennadi Falin
Article

Abstract

We consider estimation of the rate of retrials for anM/M/1 repeated orders queueing system with the help of integral estimators. The main problem is connected with the statistical accuracy of the estimator, i.e. with its variance. We derive a simple asymptotic formula for this variance when the interval of observation is long. In connection with this problem we introduce a new Markovian description of retrial queues.

Keywords

Retrial queues rate of retrials statistical inference 

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Copyright information

© J.C. Baltzer AG, Science Publishers 1995

Authors and Affiliations

  • Gennadi Falin
    • 1
  1. 1.Department of Probability, Mechanics and Mathematics FacultyMoscow State UniversityMoscowRussia

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