The Relationship between Bernoulli and Fixed Feedback
نویسنده
چکیده
We consider an M/G/1 queue with feedback, in which customers, after receiving service, either return to the tail of the queue or depart the system, according to some feedback policy. We derive simple expressions for the expected response time for feedback policies that include Bernoulli feedback and feeding back a xed number of times. Our results reveal some interesting and non-intuitive properties of the behavior of such feedback policies when the coeecient of variation of service time is varied. One result shows that for the Bernoulli feedback and xed feedback policies with equal mean number of visits to the queue, the expected response time for the Bernoulli policy is smaller than for the xed policy if the coeecient of variation of service time is greater than 1. The relationship reverses if the coeecient of variation is less than 1.
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