On value functions for FCFS queues with batch arrivals and general cost structures
Abstract
We develop a unified framework for analyzing and optimizing costs for systems of FCFS queues with batch arrivals, setup delays and a general nonlinear cost structure that includes costs associated with energy used, setup times and Quality of Service (QoS) measures. We focus on the MX/G/1 and GeoX/G/1 queues with i.i.d. service times, but our results hold also for arbitrary i.i.d. batch structures where service times within a batch may depend on...
Paper Details
Title
On value functions for FCFS queues with batch arrivals and general cost structures
Published Date
Apr 1, 2020
Journal
Volume
138
Pages
102083 - 102083
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