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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Manuscript received: August 2001/Final version received: November 2001
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Wang, KH., Wang, YL. Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy. Mathematical Methods of OR 55, 447–460 (2002). https://doi.org/10.1007/s001860200190
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DOI: https://doi.org/10.1007/s001860200190