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- W2246513632 abstract "We introduce and study a new model that we call the {em matching model}. Items arrive one by one in a buffer and depart from it as soon as possible but by pairs. The items of a departing pair are said to be {em matched}. There is a finite set of classes $maV$ for the items, and the allowed matchings depend on the classes, according to a {em matching graph} on $maV$. Upon arrival, an item may find several possible matches in the buffer. This indeterminacy is resolved by a {em matching policy}. When the sequence of classes of the arriving items is i.i.d., the sequence of buffer-contents is a Markov chain, whose stability is investigated. In particular, we prove that the model may be stable if and only if the matching graph is non-bipartite." @default.
- W2246513632 created "2016-06-24" @default.
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- W2246513632 date "2014-04-26" @default.
- W2246513632 modified "2023-09-27" @default.
- W2246513632 title "Stability of the stochastic matching model" @default.
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