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Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations

  • Published:2013-02 Issue:4 Volume:37 Page:1768-1780
  • ISSN:0307-904X
  • Container-title:Applied Mathematical Modelling
  • language:en
  • Short-container-title:Applied Mathematical Modelling

Author:

Liu Yuanyuan,Zhao Yiqiang Q.

Funder

Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation

Reference21 articles.

1. Overload analysis of the PH/PH/1/K queue and the queue of M/G/1/K type with very large K;Alfa;Asia-Pacific J. Oper. Res.,2000

2. Analysis of the loss probability of the MAP/G/1/K queue, Part I: asymptotic theory;Baiocchi;Commun. Stat. Stoch. Models,1994

3. Loss probability in a finite discrete-time queue in terms of the steady state distribution of an infinite queue;Ishizaki;Queueing Syst.,1999

4. Complementary generating functions for the MX/GI/1/k and GI/MY/1/k queues and their application to the comparison for loss probabilities;Miyazawa;J. Appl. Probab.,1990

5. A note on the equilibrium M/G/1 queue length;Willmot;J. Appl. Probab.,1988

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