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Original Articles

Analysis of BMAP/G/1 Queue with Reservation of Service

Pages 703-718 | Received 15 Sep 2003, Accepted 01 Mar 2006, Published online: 21 Sep 2006

REFERENCES

  • Lucantoni , D.M. 1991 . New results on the single server queue with a batch Markovian arrival process . Commun. Statist.-Stochastic Models 7 : 1 – 46 .
  • Neuts , M.F. 1989 . Structured Stochastic Matrices of M/G/1 Type and Their Applications . New York : Marcel Dekker .
  • Ramaswami , V. 1980 . The N/G/1 queue and its detailed analysis . J. Appl. Prob. 12 : 222 – 261 . [CSA] [CROSSREF]
  • Chakravarthy , S.R. 2001 . In Advance in Probability Theory and Stochastic Processes , eds., A. Krishnamoorthy , N. Raju , V. Ramaswami , Proceedings of the International Conference on Stochastic Processes and their Applications , Cochin, India, Dec 17–20. 1999; India , New Jersey: Notable Publications .
  • Dudin , A.N. , and V.I. Klimenok . 2001 . In Flows, Systems, Networks , eds., G.A. Medvedev , A.N. Dudin , Proceedings of the International Conference on Modern Mathematical Methods of Investigation of the Information Networks , Minsk, Belarus, Jan 23–25, 2001 . Minsk , Belarus : BSU
  • Neuts , M.F. , and J.M. Li . 1997 . In Matrix-Analytic Methods in Stochastic Models , eds., S.R. Chakravarthy , A.S. Alfa , Proceedings of the First International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, Flint, Michigan . New York : Marcel Dekker .
  • Gantmacher , F.R. 1959 . Matrix Theory . Vol. 1 . New York : Chelsea .
  • Breuer L. , A.N. Dudin , and V.I. Klimenok . 2002 . A retrial BMAP/PH/N system . Queueing Systems 40 : 433 – 457 . [CSA] [CROSSREF]
  • Dudin , A. N. , and V.I. Klimenok . 2000 . Queues with Correlated Input Flows . Minsk, Belarus : Belarusian State University (in Russian).
  • Meini , B. 1998 . Fast Algorithms for the Numerical Solution of Structured Markov Chains . PhD thesis, Department of Mathematics, University of Pisa .
  • Cinlar , E. 1975 . Introduction to Stochastic Processes . New Jersey : Prentice Hall .

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