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首页> 美国政府科技报告 >Optimal Control of the M/G/1 Queue with Repeated Vacations of the Server
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Optimal Control of the M/G/1 Queue with Repeated Vacations of the Server

机译：服务器重复休假m / G / 1排队的最优控制

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An M/G/1 queue where the server may take repeated vacations is considered.Whenever a busy period terminates (that is, when the queue empties), the server takes a vacation of random duration. At the end of each vacation the server may either take a new vacation or resume service provided that the system is nonempty. The decision to turn the server on/off may depend on all the history of the process (which includes the number of customers and all past decisions). The optimization problem typically arises when imposing a cost structure that involves a holding cost per unit time and customer and a cost for turning the server on (a shut down cost may also be included in the latter cost). Restrictions to threshold policies where the server is turned on at the end of each vacation if and only if the queue length is greater than or equal to a fixed threshold may be desired. The study aims to establish the optimality of threshold policies over all policies for two long run average cost criteria.

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