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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Authors: | Kuo-Hsiung Wang Ya-Ling Wang |
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Affiliation: | (1) Department of Applied Mathematics, National Chung-Hsing University, Taichung 402, Taiwan, Republic of China (e-mail: khwang@amath.nchu.edu.tw), TW |
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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. |
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Keywords: | : cost control queue two removable servers |
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