State space collapse for multi-class queueing networks under SBP service policies

Chang Cao (), J. G. Dai () and Xiangyu Zhang ()
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Chang Cao: Cornell University
J. G. Dai: Cornell University
Xiangyu Zhang: Cornell University

Queueing Systems: Theory and Applications, 2022, vol. 102, issue 1, No 6, 87-122

Abstract: Abstract In Braverman et al. [3], the authors justify the steady-state diffusion approximation of a multiclass queueing network under static buffer priority policy in heavy traffic. A major assumption in [3] is the moment state space collapse (moment-SSC) property of the steady-state queue length. In this paper, we prove that moment-SSC holds under a corresponding state space collapse condition on the fluid model. Our approach is inspired by Dai and Meyn [8], which was later adopted by Budhiraja and Lee [4] to justify the diffusion approximation for generalized Jackson networks. We will verify that the fluid state space collapse holds for various networks.

Keywords: State space collapse; Heavy traffic; Fluid model (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11134-022-09864-6

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