A product form for the general stochastic matching model

نویسندگان

چکیده

Abstract We consider a stochastic matching model with general compatibility graph, as introduced by Mairesse and Moyal (2016). show that the natural necessary condition of stability system is also sufficient for ‘first-come, first-matched’ policy. To do so, we derive stationary distribution under remarkable product form, using an original dynamic reversibility property related to Adan, Bušić, Mairesse, Weiss (2018) bipartite model.

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ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2021

ISSN: ['1475-6072', '0021-9002']

DOI: https://doi.org/10.1017/jpr.2020.100