Method of supplementary variables

Last updated February 25, 2025

In queueing theory, the method of supplementary variables is a technique to solve for the stationary distribution of an M/G/1 queue. It was introduced by David Cox ^[1] and David George Kendall.^[2]

References

↑ Cox, D. R. (2008). "The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables". Mathematical Proceedings of the Cambridge Philosophical Society . 51 (3): 433. doi:10.1017/S0305004100030437.
↑ Yashkov, S. F. (2008). "A note on application of the method of supplementary variables to the analysis of a processor sharing system". Automation and Remote Control. 69 (9): 1622–1629. doi:10.1134/S0005117908090166.

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[1] Cox, D. R. (2008). "The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables". Mathematical Proceedings of the Cambridge Philosophical Society . 51 (3): 433. doi:10.1017/S0305004100030437.

[2] Yashkov, S. F. (2008). "A note on application of the method of supplementary variables to the analysis of a processor sharing system". Automation and Remote Control. 69 (9): 1622–1629. doi:10.1134/S0005117908090166.

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