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A spectral approach to compute the mean performance measures of the queue with low-order BMAP input

Author

Listed:
  • Ho Woo Lee
  • Jong Min Moon
  • Jong Keun Park
  • Byung Kyu Kim

Abstract

This paper targets engineers and practitioners who want a simple procedure to compute the mean performance measures of the Batch Markovian Arrival process ( BMAP / G / 1 ) queueing system when the parameter matrices order is very low. We develop a set of system equations and derive the vector generating function of the queue length. Starting from the generating function, we propose a spectral approach that can be understandable to those who have basic knowledge of M / G / 1 queues and eigenvalue algebra.

Suggested Citation

  • Ho Woo Lee & Jong Min Moon & Jong Keun Park & Byung Kyu Kim, 2003. "A spectral approach to compute the mean performance measures of the queue with low-order BMAP input," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-12, January.
    • Handle: RePEc:hin:jnijsa:586078
    DOI: 10.1155/S1048953303000273
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    Cited by:

    1. M. L. Chaudhry & Gagandeep Singh & U. C. Gupta, 2013. "A Simple and Complete Computational Analysis of MAP/R/1 Queue Using Roots," Methodology and Computing in Applied Probability, Springer, vol. 15(3), pages 563-582, September.

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