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

I. A. Kurkova; Y. M. Suhov

doi:10.1214/aoap/1069786501

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Home > Journals > Ann. Appl. Probab. > Volume 13 > Issue 4 > Article

November 2003 Malyshev's theory and JS-queues. Asymptotics of stationary probabilities

I. A. Kurkova, Y. M. Suhov

Ann. Appl. Probab. 13(4): 1313-1354 (November 2003). DOI: 10.1214/aoap/1069786501

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Abstract

Malyshev's theory of asymptotics of stationary probabilities for a random walk in a quarter-plane is extended to cover the case of join-the-shorter-queues.

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I. A. Kurkova. Y. M. Suhov. "Malyshev's theory and JS-queues. Asymptotics of stationary probabilities." Ann. Appl. Probab. 13 (4) 1313 - 1354, November 2003. https://doi.org/10.1214/aoap/1069786501

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Published: November 2003

First available in Project Euclid: 25 November 2003

zbMATH: 1039.60082

MathSciNet: MR2023879

Digital Object Identifier: 10.1214/aoap/1069786501

Subjects:

Primary: 60J15 , 60K25

Secondary: 30D05 , 30F10

Keywords: Galois automorphisms , Join-the-shortest queue , meromorphic continuation , Riemannian surface , stationary probabilities

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Vol.13 • No. 4 • November 2003

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I. A. Kurkova, Y. M. Suhov "Malyshev's theory and JS-queues. Asymptotics of stationary probabilities," The Annals of Applied Probability, Ann. Appl. Probab. 13(4), 1313-1354, (November 2003)

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