Exact tail asymptotics for fluid models driven by an M/M/c queue

Wendi Li (), Yuanyuan Liu () and Yiqiang Q. Zhao ()
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Wendi Li: Central South University
Yuanyuan Liu: Central South University
Yiqiang Q. Zhao: Carleton University

Queueing Systems: Theory and Applications, 2019, vol. 91, issue 3, No 6, 319-346

Abstract: Abstract In this paper, we investigate exact tail asymptotics for the stationary distribution of a fluid model driven by the M / M / c queue, which is a two-dimensional queueing system with a discrete phase and a continuous level. We extend the kernel method to study tail asymptotics of its stationary distribution, and a total of three types of exact tail asymptotics are identified from our study and reported in the paper.

Keywords: Fluid queue driven by an M / M / c queue; Kernel method; Exact tail asymptotics; Stationary distribution; Asymptotic analysis; 60K25; 60J27; 30E15; 05A15 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11134-019-09601-6

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