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Maximizing throughput in finite-source parallel queue systems

delete2012-03-01
delete21
PRE
AI
M
Mohammad Delasay
B
Bora Kolfal
Á
Ármann Ingólfsson *
DOI:10.1016/j.ejor.2011.09.041delete
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Abstract

Abstract

En 中文
Motivated by the dispatching of trucks to shovels in surface mines, we study optimal routing in a Markovian finite-source, multi-server queueing system with heterogeneous servers, each with a separate queue. We formulate the problem of routing customers to servers to maximize the system throughput as a Markov Decision Process. When the servers are homogeneous, we demonstrate that the Shortest Queue policy is optimal, and when the servers are heterogeneous, we partially characterize the optimal policy and present a near-optimal and simple-to-implement policy. We use the model to illustrate the substantial benefits of pooling, by comparing it to the permanent assignment of customers to servers. (C) 2011 Elsevier B.V. All rights reserved.
Keywords:
Markov processes
Queueing
Routing to parallel queues
Dispatching systems
Markov decision processes

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

U
university of alberta
Scholars:
5.1W
Papers: 4.9W
Citations: 65