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

Kuo-Hsiung Wang and Ya-Ling Wang

Mathematical Methods of Operations Research, 2002, vol. 55, issue 3, 447-460

Abstract: 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. Copyright Springer-Verlag Berlin Heidelberg 2002

Keywords: Key words: cost; control; queue; two removable servers, (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/s001860200190

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