Abstract
This work was motivated by the timeout mechanism used in managing application servers in transaction processing environments. In such systems, a customer who stays in the queue longer than the timeout period is lost. We modeled a server node with a timeout threshold as a multi-server queue with Poisson arrivals, general service time distribution and deterministic reneging times. We proposed a scaling approach, and a fast and accurate approximation for the expected waiting time in the queue.
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Xiong, W., Altiok, T. An approximation for multi-server queues with deterministic reneging times. Ann Oper Res 172, 143–151 (2009). https://doi.org/10.1007/s10479-009-0534-3
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DOI: https://doi.org/10.1007/s10479-009-0534-3