Two-choice regulation in heterogeneous closed networks

Christine Fricker () and Nicolas Servel
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Christine Fricker: INRIA Paris-Rocquencourt
Nicolas Servel: INRIA Paris-Rocquencourt

Queueing Systems: Theory and Applications, 2016, vol. 82, issue 1, No 10, 173-197

Abstract: Abstract 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 queues of which have the same parameters. Incentives to the customer to go to the least-loaded one-server queue between 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 achievable under this policy.

Keywords: Bike-sharing systems; Stochastic networks; Two-choice; Clusters; Mean-field; Heterogeneous systems; 60K25 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11134-015-9465-7

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