Two-choice regulation in heterogeneous closed networks

A heterogeneous closed network with N 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 N 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.

• Type: Journal
• Year: 2016
• Where: QUESTA
• Authors: Christine Fricker, Nicolas Servel
• Keywords: QUESTA 2016