• I.A. KURKOVA
• Yu.M. SUHOV

Code(s) de Classification MSC:

• 60K25 Queueing theory, See also {68M20, 90B22}
• 60J15 Random walks
• 30D05 Functional equations in the complex domain, iteration and composition of analytic functions, See also {34A20, 39-XX, 58F08, 58F23}
• 30F10 Compact Riemann surfaces and uniformization, See Also

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