Asymptotically optimal idling in the GI/GI/N+GI queue

نویسندگان

چکیده

We formulate a control problem for GI/GI/N+GI queue, whose objective is to trade off the long-run average operational costs with server utilization costs. To solve problem, we consider an asymptotic regime in which arrival rate and number of servers grow large. The solution associated fluid motivates that non-idling service disciplines are not general optimal, unless some arrivals turned away. propose admission policy designed ensure have sufficient idle time, show asymptotically optimal.

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ژورنال

عنوان ژورنال: Operations Research Letters

سال: 2022

ISSN: ['0167-6377', '1872-7468']

DOI: https://doi.org/10.1016/j.orl.2022.04.005