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Optimal Thresholds of an Infinite Buffer Discrete-Time Two-Server System with Triadic Policy

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  • Veena Goswami

    (KIIT University, India)

  • G. B. Mund

    (KIIT University, India)

Abstract

This paper analyzes a discrete-time infinite-buffer Geo/Geo/2 queue, in which the number of servers can be adjusted depending on the number of customers in the system one at a time at arrival or at service completion epoch. Analytical closed-form solutions of the infinite-buffer Geo/Geo/2 queueing system operating under the triadic (0, Q N, M) policy are derived. The total expected cost function is developed to obtain the optimal operating (0, Q N, M) policy and the optimal service rate at minimum cost using direct search method. Some performance measures and sensitivity analysis have been presented.

Suggested Citation

  • Veena Goswami & G. B. Mund, 2011. "Optimal Thresholds of an Infinite Buffer Discrete-Time Two-Server System with Triadic Policy," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 2(4), pages 75-88, October.
    • Handle: RePEc:igg:jsds00:v:2:y:2011:i:4:p:75-88
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