Optimal Control for Parallel Queues with a Single Batch Server

We consider a queueing system with multiple Poisson arrival queues and a single batch server that has infinite capacity and a fixed service time. The problem is to allocate the server at each moment to minimize the long-run average waiting cost. We propose a Cost-Arrival Weighted (CAW) policy for this problem based on the structure of the optimal policy of a corresponding fluid model. We show that this simple policy enjoys a superior performance by numerical experiments

Year of publication:	2022
Authors:	Chen, Hongyu ; Wang, Zizhuo
Publisher:	[S.l.] : SSRN
Subject:	Warteschlangentheorie \| Queueing theory \| Kontrolltheorie \| Control theory

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