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Original Articles

A new model approximating M/PH/1 queuing systems during the transient period

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Pages 199-209 | Received 27 Jul 2000, Published online: 14 Oct 2010

References

  • Duda , A. 1986 . Diffusion Approximations for Time Dependent queuing Systems . IEEE Journal on Selected Areas in Communications SAC , 14 (6) : 905 – 918 .
  • Filipiak , J. 1983 . Diffusion‐Equation Model of Slightly Loaded M/M/l queue . Operations Research Letters , 2 (3) : 134 – 139 .
  • Filipiak , J. 1986 . Location of a Boundary for a Diffusion Equation Model of a Single Server queue . Performance Evaluation , 6 : 205 – 218 .
  • Gao , H. Approximations of Simple Queueing System Transients , Glasgow Caledonian University . PhD Thesis, (to appear)
  • Gelenbe , E. 1975 . On approximate computer system models . Journal of the Association for Computing Machinery , 22 (2) : 261 – 269 .
  • Johnson , M. A. and Taafe , M. R. 1989 . Matching Moments to Phase Distributions : Mixtures of Erlang Distributions of Common Order . Commun. Statist.‐Stochastic Models , 5 (4) : 711 – 743 .
  • Johnson , M. A. and Taaffe , M. R. 1990 . Matching Moments to Phase Distributions: Non Linear Programming Approaches . Commun. Statist ‐ Stochastic Models , 6 (2) : 259 – 281 .
  • Johnson , M. A. and Taaffe , M. R. 1991 . An Investigation of Phase‐Distributions Moment‐Matching Algorithms for Use in Queueing Models . Queueing Systems , 8 : 129 – 148 .
  • Kleinrock , L. 1975 . Queueing System I: Theory , New York : Wiley .
  • Kobayashi , H. 1974 . Application of the Diffusion Approximation to Queueing Networks I‐Equilibrium Queue Distributions . Journal of the Association for Computing Machinery , 21 (2) : 316 – 328 .
  • Lipsky , L. 1992 . Queueing Theory: A Linear Algebraic Approach , New York : Macmillan Publishing Company .
  • Neuts , M. F. 1994 . Matrix‐Geometric Solutions in Stochastic Models: An Algorithmic Approach , New York : Dover Publications, INC. .
  • Newell , G. F. 1971 . Applications of Queueing Theory , London : Chapman & Hall .
  • Reiser , M. and Kobayashi , H. 1974 . Accuracy of the Diffusion Approximation for some Queueing Systems . IBMJ.Res. Develop , 74 : 110 – 124 .

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