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A Polynomial Factorization Approach for the Discrete Time GIX/>G/1/K Queue

Author

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  • Pinai Linwong*

    (Tohoku University)

  • Nei Kato*

    (Tohoku University)

  • Yoshiaki Nemoto*

    (Tohoku University)

Abstract

This paper proposes a polynomial factorization approach for queue length distribution of discrete time GI X /G/1 and GI X /G/1/K queues. They are analyzed by using a two-component state model at the arrival and departure instants of customers. The equilibrium state-transition equations of state probabilities are solved by a polynomial factorization method. Finally, the queue length distributions are then obtained as linear combinations of geometric series, whose parameters are evaluated from roots of a characteristic polynomial.

Suggested Citation

  • Pinai Linwong* & Nei Kato* & Yoshiaki Nemoto*, 2004. "A Polynomial Factorization Approach for the Discrete Time GIX/>G/1/K Queue," Methodology and Computing in Applied Probability, Springer, vol. 6(3), pages 277-291, September.
    • Handle: RePEc:spr:metcap:v:6:y:2004:i:3:d:10.1023_b:mcap.0000026560.42106.7a
    DOI: 10.1023/B:MCAP.0000026560.42106.7a
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    References listed on IDEAS

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    1. Mohan L. Chaudhry & Carl M. Harris & William G. Marchal, 1990. "Robustness of Rootfinding in Single-Server Queueing Models," INFORMS Journal on Computing, INFORMS, vol. 2(3), pages 273-286, August.
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