Journal of the Korean Operations Research and Management Science Society (한국경영과학회지)

The Korean Operations Research and Management Science Society (한국경영과학회)
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A Note on the Inter-Loss Time Distribution of an M/G/1/1 Queuing System

M/G/1/1 대기체계의 고객 손실간격 분포에 대한 소고

  • Lee, Doo Ho (Department of Industrial and Management Engineering, Kangwon National University)
  • 이두호 (강원대학교 산업경영공학과)
  • Received : 2016.03.08
  • Accepted : 2016.05.31
  • Published : 2016.08.31
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Abstract

This note discusses the inter-loss time ofan M/G/1/1 queuing system. The inter-loss time is defined as the time duration between two consecutive losses of arriving customers. In this study, we present the explicit Laplace transform of the inter-loss time distribution of an M/G/1/1 queuing system.

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References

  1. Ferrante, P., "Interloss time in M/M/1/1 loss system," Journal of Applied Mathematics and Stochastic Analysis, Vol.2009(2009), article ID 308025.
  2. Green, L., "A limit theorem on subintervals of interrenewal times," Operations Research, Vol.30, No.1(1982), pp.210-216. https://doi.org/10.1287/opre.30.1.210