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Optimal control of premature queueing

机译:最优控制过早排队

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摘要

Given an M/G/1 queue, a special customer, and an exponential random variable M that is independent of the queueing process, if the special customer reaches the front of the queue before the time specified by M, it cannot be processed and must re-enter the queue at the back. While waiting in the queue, the available decisions for the special customer are either to keep its position in the queue or to leave its position to join the back of the queue. The author's goal is to find a strategy that minimizes the expected delay until the special customer starts being processed. The move-along policy is to always stay in the queue until the front of the queue is reached, and if it cannot be served, to join the back of the queue. The basic result is that if the queue is stable, the move-along policy is optimal.
机译:给定一个M / G / 1队列,一个特殊客户和一个与排队过程无关的指数随机变量M,如果特殊客户在M指定的时间之前到达队列的前面,则无法对其进行处理,因此必须重新进入后面的队列。在队列中等待时,特殊客户的可用决定是保留其在队列中的位置,还是保留其位置以加入队列的后面。作者的目标是找到一种策略,将在特殊客户开始处理之前的预期延迟最小化。继续移动策略是始终停留在队列中,直到到达队列的前端为止;如果无法提供服务,则加入队列的后端。基本结果是,如果队列稳定,则移动策略最佳。

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