Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0, Q, N, M) policy

Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0, Q, N, M) policy

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Article ID: iaor20032553
Country: Germany
Volume: 55
Issue: 3
Start Page Number: 447
End Page Number: 460
Publication Date: Jan 2002
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Keywords: M/M/2 queues, M/M/1 queues
Abstract:

In this paper, we study two removable servers in the controllable M/M/2 queueing system with finite capacity L operating under the triadic (0, Q, N, M) policy, where L is the maximum number of customers in the system. The number of working servers can be adjusted one at a time at arrival epochs or at service completion epochs depending on the number of customers in the system. Analytic closed-form solutions of the controllable M/M/2 queueing system with finite capacity operating under the triadic (0, Q, N, M) policy are derived. This is a generalization of the ordinary M/M/2 and the controllable M/M/1 queueing systems in the literature. The total expected cost function per unit time is developed to obtain the optimal operating (0, Q, N, M) policy at minimum cost.

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