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Journal of the Operational Research Society Volume 36, 1985 - Issue 11
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Theoretical Paper

The Factorization of Queueing Equations and Their Interpretation

W. K. GrassmanUniversity of Saskatchewan
Pages 1041-1050 | Published online: 20 Dec 2017

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Read on this site (2)

Winfried K. Grassmann & Javad Tavakoli. (2019) A numerical method to determine the waiting time and the idle time distributions of a GI/G/1 queue when inter-arrival times and/or service times have geometric tails. INFOR: Information Systems and Operational Research 57:2, pages 286-295.
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P.C.Kao Edward & LIN Chiunsin. (1991) Computing the r matrices in matrix-geometric solutions for a class of qbd queues: a phase substitution approach. Communications in Statistics. Stochastic Models 7:4, pages 629-643.
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Articles from other publishers (14)

Joti Jain, Gopal Mohanty & Walter Böhm. 2006. A Course on Queueing Models. A Course on Queueing Models 119 153 .
Yiqiang Q. Zhao, Wei Li & W. John Braun. (2016) Infinite block-structured transition matrices and their properties. Advances in Applied Probability 30:2, pages 365-384.
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B. Hashem & E. Sousa. (1998) Performance evaluation of DS/CDMA systems employing adaptive transmission rate under imperfect power control. Performance evaluation of DS/CDMA systems employing adaptive transmission rate under imperfect power control.
Winfried K. Grassmann. (1996) Optimizing steady state Markov chains by state reduction. European Journal of Operational Research 89:2, pages 277-284.
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Susan O. Schall & Jeya Chandra. (1994) Evaluation of alternative tool combinations in a flexible manufacturing system. Computers & Industrial Engineering 26:4, pages 633-645.
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Masayuki Murata & Hideo Miyahara. (1991) An analytic solution of the waiting time distribution for the discrete-time GI/G/1 queue. Performance Evaluation 13:2, pages 87-95.
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Winfried K. Grassmann & Daniel P. Heyman. (2016) Equilibrium distribution of block-structured Markov chains with repeating rows. Journal of Applied Probability 27:3, pages 557-576.
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Brian J. Melloy, Allen L. Soyster & M. Jeya Chandra. (1990) An observation on storage allocation in a flow line with a common buffer. European Journal of Operational Research 46:3, pages 388-392.
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C.B. Winsten & M.J. Fryer. (1990) Duality properties of a one-dimensional random walk and a new computational algorithm. European Journal of Operational Research 44:3, pages 414-423.
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A. Bobbio & K. Trivedi. (1990) Computing cumulative measures of stiff Markov chains using aggregation. IEEE Transactions on Computers 39:10, pages 1291-1298.
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Winfried K. Grassmann. 1990. Stochastic Models. Stochastic Models 199 254 .
Joti L. Jain & Winfried K. Grassmann. (1988) Numerical solution for the departure process from the GI/G/1 queue. Computers & Operations Research 15:3, pages 293-296.
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Sudhir Kumar, Winfried Grassmann & Roy Billinton. (1987) A Stable Algorithm to Calculate Steady-State Probability & Frequency of a Markov System. IEEE Transactions on Reliability R-36:1, pages 58-62.
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J. Kohlas. (1986) Numerical computation of mean passage times and absorption probabilities in Markov and Semi-Markov models. Zeitschrift für Operations Research 30:5, pages A197-A207.
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