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

Veena Goswami and G. B. Mund
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Veena Goswami: KIIT University, India
G. B. Mund: KIIT University, India

International Journal of Strategic Decision Sciences (IJSDS), 2011, vol. 2, issue 4, 75-88

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jsds00:v:2:y:2011:i:4:p:75-88

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