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Method of supplementary variables

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 and David George Kendall.

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Jun 16, 2026
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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 Cox1 and David George Kendall.2

References

References

  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.