2019
DOI: 10.1007/s11134-019-09629-8
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Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy

Abstract: This work concerns the asymptotic behavior of critical fluid model solutions for a multiclass processor sharing queue under general distributional assumptions. Such critical fluid model solutions are measure valued functions of time. We prove that critical fluid model solutions converge to the set of invariant states as time goes to infinity, uniformly for all initial conditions lying in certain relatively compact sets. This generalizes an earlier single class result of Puha and Williams to the more complex mu… Show more

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Cited by 2 publications
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