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

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  • Gyemin Lee
  • Jongwoo Jeon

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.

Suggested Citation

  • Gyemin Lee & Jongwoo Jeon, 1999. "Analysis of an N / G / 1 finite queue with the supplementary variable method," International Journal of Stochastic Analysis, Hindawi, vol. 12, pages 1-6, January.
    • Handle: RePEc:hin:jnijsa:574901
    DOI: 10.1155/S1048953399000350
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    Cited by:

    1. Quan-Lin Li & Yu Ying & Yiqiang Zhao, 2006. "A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs," Annals of Operations Research, Springer, vol. 141(1), pages 233-270, January.

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