par Latouche, Guy ;Miyazawa, Masakiyo
Référence Queueing systems, 77, 4, page (373-391)
Publication Publié, 2014
Article révisé par les pairs
Résumé : We consider a two-dimensional skip-free reflecting random walk on the non-negative integers, which is referred to as a 2-d reflecting random walk. We give necessary and sufficient conditions for the stationary distribution to have a product-form. We also derive simpler sufficient conditions for the product-form for a restricted class of 2-d reflecting random walks. We apply these results and obtain a product-form approximation of the stationary distribution through a suitable modification of the parameters of the random walk. © 2013 Springer Science+Business Media New York.

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