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Original Articles

On the Queue Length Distribution for the GI/G/1/K/VM Queue

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Pages 647-656 | Published online: 15 Feb 2007

References

  • Bertsimas , D. and Mourtzinou , G. 1996 . A unified method to analyze overtake free queueing systems . Adv. Appl. Prob. , 28 : 588 – 625 .
  • Blondia , C. 1991 . Finite capacity vacation models with non-renewal input . J. Appl. Prob. , 28 : 174 – 197 . [CSA]
  • Doshi , B.T. 1985 . A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times . J. Appl. Prob. , 22 : 419 – 428 . [CSA]
  • Doshi , B.T. 1986 . Queueing systems with vacations – a survey . Queueing Systems , 1 : 29 – 66 .
  • Doshi , B.T. 1990 . Generalizations of the stochastic decomposition results for single server queues with vacations . Commun. Statist. – Stochastic Models , 6 : 307 – 333 .
  • Franken , P. , König , D. , Arndt , U. and Schmidt , V. 1982 . Queues and Point Processes Chichester , , Singapore : John Wiley & Sons .
  • Kim , N.K. and Chae , K.C. 2003 . Exact and approximate analyses of the GI/G/1/K queue through the decomposed Little's formula . Comp. Opns. Res. , 30 : 353 – 365 . [CROSSREF]
  • Kopocińska , I. and Kopociński , B. 1977 . Steady-state distributions of queue length in the GI/G/s queue . Zastosowania Matematyki , 16 : 39 – 46 .
  • Kosten , L. 1973 . Stochastic Theory of Service Systems Oxford , , Singapore : Pergamon .
  • Lucantoni , D.M. , Meier-Hellstern , K.S. and Neuts , M.F. 1990 . A single-server queue with server vacations and a class of non-renewal arrival processes . Adv. Appl. Prob. , 22 : 676 – 705 .
  • Miyazawa , M. 1994 . Rate conservation laws: a aurvey . Queueing Systems , 15 : 1 – 58 .
  • Miyazawa , M. 1994 . Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law . Commun. Statist. – Stochastic Models , 10 : 389 – 413 .
  • Sigman , K. 1991 . A Note on a sample-path rate conservation law and its relationship with H = λG . Adv. Appl. Prob. , 23 : 662 – 665 .
  • Takagi , H. 1991 . “ Queueing analysis ” . In A Foundation of Performance Evaluation , Vacation and Priority Systems, Part 1 Vol. 1 , North-Holland , , Singapore : Amsterdam .

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