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arXiv · 1405.5997

Two-choice regulation in heterogeneous closed networks

Christine Fricker·Nicolas Servel
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Abstract

A heterogeneous closed network with one-server queues with finite capacity and one infinite-server queue is studied. A target application is bike-sharing systems. Heterogeneity is taken into account through clusters whose queues have the same parameters. Incentives to the customer to go to the least loaded one-server queue among two chosen within a cluster are investigated. By mean-field arguments, the limiting queue length stationary distribution as the number of queues gets large is analytically tractable. Moreover, when all customers follow incentives, the probability that a queue is empty or full is approximated. Sizing the system to improve performance is reachable under this policy.

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Christine Fricker, Nicolas Servel. 2014-05-23. Two-choice regulation in heterogeneous closed networks. https://arxiv.org/abs/1405.5997

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