# Method of supplementary variables

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In [queueing theory](/source/Queueing_theory), the **method of supplementary variables** is a technique to solve for the stationary distribution of an [M/G/1 queue](/source/M/G/1_queue). It was introduced by [David Cox](/source/David_Cox_(statistician))[1] and [David George Kendall](/source/David_George_Kendall).[2]

## 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](/source/Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society)*. **51** (3): 433. [doi:10.1017/S0305004100030437](https://doi.org/10.1017/S0305004100030437)

1. 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](https://doi.org/10.1134/S0005117908090166)

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