Performance Paradoxes in Matching Systems are not that Rare

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Ana Busic, Jean-Michel Fourneau, A. Lunven, Shu Li

Published: 2025, Last Modified: 14 Jan 2026NETGCOOP 2025EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: A Matching model describes the waiting times suffered by items before they match with other items and disappear immediately without service. The matching relation is described by a compatibility graph. It is an easy representation of multiple types synchronizations between items. When we add an edge in the compatibility graph, one expects that the expected total number of items decreases. Unexpectedly this is not always true and there is a performance paradox. Extending previous results, we show new matching models with performance paradoxes which seems to be more frequent than one can expect.