Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

Malyshev's theory and JS-queues. Asymptotics of stationary probabilities

Auteur(s):

Code(s) de Classification MSC:

Résumé: Malyshev's theory [3], [10]-[13] of asymptotics of stationary probabilities for a random walk in a quarter-plane is extended to cover the case of join-the-shorter-queues.

Mots Clés: Join-the-shortest queue ; random walk ; stationary probabilities ; functional equation ; Riemannian surface ; meromorphic continuation ; Galois automorphisms ; contour integral ; asymptotics ; saddle point ; pole

Date: 2001-12-06

Prépublication numéro: PMA-701

Postscript file: PMA-701.ps