International Journal of Stochastic Analysis

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International Journal of Stochastic Analysis / 1999 / Article

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Volume 12 |Article ID 574901 | 6 pages | https://doi.org/10.1155/S1048953399000350

Analysis of an N/G/1 finite queue with the supplementary variable method

Gyemin Lee1 and Jongwoo Jeon1

1Seoul National University, Department of Statistics, Korea

Received01 Apr 1997
Revised01 Apr 1998

Abstract

In this paper, we suggest a new approach to the analysis of an N/G/1 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.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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