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First passage times: Busy periods and waiting times 被引量：1

First passage times: Busy periods and waiting times
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摘要 General expressions of first passage times for denumerable Markov processes are discussed and computation problems for busy periods and waiting times for queues corresponding to Markov processes are studied. In particular, the simplified algorithms for busy periods and waiting times for queues corresponding to G//M/1 type and M/G/1 type Markov processes are derived and some numerical examples are presented. General expressions of first passage times for denumerable Markov processes are discussed and computation problems for busy periods and waiting times for queues corresponding to Markov processes are studied. In particular, the simplified algorithms for busy periods and waiting times for queues corresponding to G//M/1 type and M/G/1 type Markov processes are derived and some numerical examples are presented.
作者 徐光煇 袁学明
机构地区 Institute of Applied Mathematics Asian-Pacific Operations Research Center within APORS and CAS
出处 《Science China Mathematics》 SCIE 1995年第10期1187-1201,共15页 中国科学：数学（英文版）
基金 the National Natural Science Foundation of China
关键词 denumerable MARKOV PROCESS first PASSAGE time G1/M/1 TYPE MARKOV PROCESS M/G/1 MARKOV PROCESS M/G/1 TYPE MARKOV PROCESS uniform error. denumerable Markov process, first passage time, G1/M/1 type Markov process, M/G/1 Markov process, M/G/1 type Markov process, uniform error.
分类号 O211.6 [理学—概率论与数理统计]
  • 相关文献

同被引文献39

  • 1越民义.排队论中之一问题——M/W/n[J]数学学报,1959(04).
  • 2Wu,F.On the GI/M/n queueing process, Acta Math. Sinica (in Chinese) . 1961
  • 3Walter Ullmann.Principles of Government and Politics in the Middle Ages. . 1961
  • 4Neuts MF.Matrix-Geometric Solutions in Stochastic Models. . 1981
  • 5Neuts M F.Structured Stochastic Matrices of M/G/1 Type and Their Applications. . 1989
  • 6Grassmann,W. K.Transient solutions in Markovian queueing systems. Comput.Opns Res . 1977
  • 7Grassmann,W K.Transient solutions in Markovian queues. Eur.J. Opns Res . 1977
  • 8Ramaswami,V.The busy period of queues which have a matrix-geometric steady state probability vector. Opsearch . 1982
  • 9Hsu G H,Yuan X M.The first passage times and their algorithms for Markov processes. Stoch Models . 1995
  • 10Grassmann,W.K. and Heyman,D.P.Computation of steady-state probabilities for infinite-stateMarkov chains with repeating rows. ORSA Journal on Computing . 1993

引证文献1

  • 1XU Guanghui (HSU Guang-Hui)Institute of Applied Mathematics, Chinese Academy of Sciences, Asian-Pacific Operations Research Center Within CAS and APORS, Beijing 100080, China.Algorithms for Markov stochastic models[J].Chinese Science Bulletin,1999,44(2):97-100.
Science China Mathematics
1995年 第10期

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