STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK

Yongjiang GUO

系统科学与复杂性(英文) ›› 2008, Vol. 21 ›› Issue (2) : 283-295.

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系统科学与复杂性(英文) ›› 2008, Vol. 21 ›› Issue (2) : 283-295.
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STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK

    Yongjiang GUO
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STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK

    Yongjiang GUO
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摘要

A general Jackson network (GJN) with infinite supply of work is considered. By fluid limit model, the author finds that the Markov process describing the dynamics of the GJN with infinite supply of work is positive Harris recurrent if the corresponding
fluid model is stable. Furthermore, the author proves that the fluid model is stable if the usual traffic condition holds.

Abstract

A general Jackson network (GJN) with infinite supply of work is considered. By fluid limit model, the author finds that the Markov process describing the dynamics of the GJN with infinite supply of work is positive Harris recurrent if the corresponding
fluid model is stable. Furthermore, the author proves that the fluid model is stable if the usual traffic condition holds.

关键词

Fluid limit model / general Jackson network (GJN) / infinite supply / positive Harris recurrent / stability.

Key words

Fluid limit model / general Jackson network (GJN) / infinite supply / positive Harris recurrent / stability.

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Yongjiang GUO. STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK. 系统科学与复杂性(英文), 2008, 21(2): 283-295
Yongjiang GUO. STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK. Journal of Systems Science and Complexity, 2008, 21(2): 283-295
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