Gyemin Lee, Jongwoo Jeon, "Analysis of an finite queue with the supplementary variable method", International Journal of Stochastic Analysis, vol. 12, Article ID 574901, 6 pages, 1999. https://doi.org/10.1155/S1048953399000350
Analysis of an finite queue with the supplementary variable method
In this paper, we suggest a new approach to the analysis of an finite queue with the supplementary variable method. Compared to the conventional approach, our approach yields a simpler formula for the queue length distribution, which in turn gives a more efficient computational algorithm. Also, the new approach enables us to derive the joint density of the queue length and the elapsed service time.
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