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Original Articles

A. B. Clarke's Tandem Queue Revisited—Sojourn Times

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Pages 1111-1135 | Received 13 Dec 2006, Accepted 14 Dec 2007, Published online: 29 Oct 2008

REFERENCES

  • Baccelli , F. , and Makowski , A.M. 1989 . Queueing models for systems with synchronization constraints . Proceedings of the IEEE 77 : 138 – 161 .
  • Shacham , N. , and Shin , B.C. 1992 . A selective-repeat-ARQ protocol for parallel channels and its resequencing analysis . IEEE Transactions on Communications 40 : 773 – 782 .
  • Shikama , T. , Watanabe , T. , and Mizuno , T. 2005 . Delay analysis of the selective-repeat ARQ with the per flow resequencing . Proceedings of the IEEE International Conference on Communications 1 : 26 – 32 .
  • Kamoun , F. , Kleinrock , L. , and Muntz , R. 1981 . Queueing analysis of the reordering issue in a distributed database concurrency control mechanism . In Proceedings of the Second International Conference on Distributed Computing Systems . Versailles , France , April, 13–23 .
  • Harrus , G. , and Plateau , B. 1982 . Queueing analysis of a reordering issue . IEEE Transactions on Software Engineering 8 : 113 – 123 .
  • Baccelli , F. , Gelenbe , E. , and Plateau , B. 1984 . An end-to-end approach to the resequencing problem . Journal of the Association for Computing Machinery 31 : 474 – 485 .
  • Lien , Y.-C. 1985 . Evaluation of the resequence delay in a Poisson queueing system with two heterogeneous servers . In Proceedings of the International Workshop on Computer Performance Evaluation . Tokyo, Japan , September, 189 – 197 .
  • Yum , T.S.P. , and Ngai , T.Y. 1986 . Resequencing of messages in communication networks . IEEE Transactions on Communications 34 : 143 – 149 .
  • Chowdhury , S. 1991 . An analysis of virtual circuits with parallel links . IEEE Transactions on Communications 39 : 1184 – 1188 .
  • Iliadis , I. , and Lien , Y.-C . 1988 . Resequencing delay for a queueing system with two heterogeneous servers under a threshold-type scheduling . IEEE Transactions on Communications 36 : 692 – 702 .
  • Gogate , N. , and Panwar , S.S. 1994. On a resequencing model for high speed networks. In Proceedings of INFOCOM’94 . Toronto , Canada, June, 40–47.
  • Jean-Marie , A. , and Gün , L. 1993 . Parallel queues with resequencing . Journal of the Association for Computing Machinery 40 : 1188 – 1208 .
  • 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 . Advances in Applied Probability 22 : 676 – 705 .
  • Balsamo , S. , de Nitto Personé , V. , and Onvural , R. 2001 . Analysis of Queueing Networks with Blocking . Kluwer Academic , Boston .
  • Perros , H.G. 1994 . Queueing Networks with Blocking. Exact and Approximate Solutions . Oxford University Press , New York .
  • Neuts , M.F. 1994 . Matrix-Geometric Solutions in Stochastic Models. An Algorithm Approach, , 2nd ed. Dover Publications , New York .
  • Clarke , A.B. 1977 . A two-server tandem queueing system with storage between servers . Mathematical Report no. 50 . Western Michigan University , Kalamazoo .
  • Niu , Z. , Liu , Y. , and Lin , X. 1999 . Two-link striping system in packet-switched networks . ACTA Electronica SINICA 27 ( 6 ):83–87. (in Chinese)
  • Chakravarthy , S.R. , Chukova , S. , and Dimitrov , B. 1998 . Analysis of MAP/M/2/K queueing model with infinite resequencing buffer . Performance Evaluation 31 : 211 – 228 .
  • Chakravarthy , S.R. , and Chukova , S. 2005 . A finite capacity resequencing model with Markovian arrivals . Asia-Pacific Journal of Operational Research 22 : 409 – 443 .
  • Dudin , A.N. , and Chakravarthy , S.R. 2003 . Multi-threshold control of the BMAP/SM/1/K queue with group services . Journal of Applied Mathematics and Stochastic Analysis 16 : 327 – 347 .
  • Kazimirsky , A.V. 2006 . Analysis of BMAP/G/1 queue with reservation of service . Stochastic Analysis and Applications 24 : 703 – 718 .
  • Krishnamoorthy , A. , Narayanan , V.C. , Deepak , T.G. , and Vineetha , P. 2006 . Control policies for inventory with service time . Stochastic Analysis and Applications 24 : 889 – 899 .
  • Akar , N. , and Sohraby , K. 1997 . An invariant subspace approach in M/G/1 and G/M/1 type Markov chains . Stochastic Models 13 : 381 – 416 .
  • Alfa , A.S. , Sengupta , B. , Takine , T. , and Xue , J. 2002 . A new algorithm for computing the rate matrix of GI/M/1 type Markov chains . In: Matrix-Analytic Methods. Theory and Applications . Latouche , G. , Taylor , P. , (eds.), World Scientific , Singapore , pp. 1 – 16 .
  • Hunter , J.J. 1983 . Mathematical Techniques of Applied Probability . Vol. 1 . Discrete Time Models: Basic Theory . Academic Press , New York .
  • Gómez-Corral , A. 2004 . Sojourn times in a two-stage queueing network with blocking . Naval Research Logistics 51 : 1068 – 1089 .
  • Abate , J. , and Whitt , W. 1995 . Numerical inversion of Laplace transforms of probability distributions . ORSA Journal on Computing 7 : 36 – 43 .

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