Optimal control for an MX/G/1 queue with two service modes |
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| Institution: | 1. CHU de Caen, Pôle Réanimations Anesthésie SAMU, Caen F-14000, France;2. CHU de Caen, Unité de Biostatistiques et de Recherche Clinique, Caen F-14000, France;3. Université Normandie, EA4650 and UFR de Médecine, Caen F-14000, France;4. Medical Simulation Center, Normandie Simulation en Santé, Caen F-14000, France;1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China;2. College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, Shandong, China |
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| Abstract: | A practically important model is the queueing model with controllable service rate. This paper considers a single-server model with batch Poisson input and two service modes, where switch-over times are involved when changing the service mode. A class of simple switch-over rules is considered and, using Markov decision theory, a tailor-made policy-iteration algorithm is developed for computing a rule that mimimizes the long-run average number of customers in the system. |
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