A product form for the general stochastic matching model
Abstract
We consider a stochastic matching model with a general compatibility graph, as introduced in MaiMoy16. We show that the natural necessary condition of stability of the system is also sufficient for the natural matching policy 'First Come, First Matched' (FCFM). For doing so, we derive the stationary distribution under a remarkable product form, by using an original dynamic reversibility property related to that of ABMW17 for the bipartite matching model.
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