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Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy
Authors:Kuo-Hsiung Wang  Ya-Ling Wang
Affiliation:(1) Department of Applied Mathematics, National Chung-Hsing University, Taichung 402, Taiwan, Republic of China (e-mail: khwang@amath.nchu.edu.tw), TW
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.
Keywords:: cost   control   queue   two removable servers
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