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Modelling a vehicle-sharing station as a dual waiting system: stochastic framework and stationary analysis

Abstract : A waiting system with two kinds of resources, say the vehicles and the docks in a vehicle-sharing service, is considered. Two arrival flows of customers are assumed, access customers who require a vehicle versus egress customers that bring back their vehicle and require a dock at the station. The total number of docks sets a limit capacity for the service. A stochastic, markovian, state-transition model is defined, which constitutes a bi-sided capacitated queuing system. The balance equations are stated and solved, yielding a stationary distribution under two conditions of compatibility. Indicators of service quality and system performance are defined and formulated under steady state.
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https://hal.archives-ouvertes.fr/hal-00757228
Contributor : Fabien Leurent <>
Submitted on : Monday, November 26, 2012 - 2:55:57 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:16 PM
Document(s) archivé(s) le : Wednesday, February 27, 2013 - 3:44:49 AM

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  • HAL Id : hal-00757228, version 1

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Fabien Leurent. Modelling a vehicle-sharing station as a dual waiting system: stochastic framework and stationary analysis. 2012. ⟨hal-00757228⟩

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