Two-choice regulation in heterogeneous closed networks
Adaptation and Self-Organizing Systems
2014-05-26 v1
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.
Cite
@article{arxiv.1405.5997,
title = {Two-choice regulation in heterogeneous closed networks},
author = {Christine Fricker and Nicolas Servel},
journal= {arXiv preprint arXiv:1405.5997},
year = {2014}
}
Comments
19 pages, 4 figures