A Semigroup Approach to Queueing Systems

A Semigroup Approach to Queueing Systems
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DOI:
10.1007/s00233-007-0726-6
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发表时间:
2007-12
期刊:
影响因子:
0.7
通讯作者:
A. Haji;Agnes Radl
A. Haji;Agnes Radl
中科院分区:
数学3区
文献类型:
--
作者:
A. Haji;Agnes Radl

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证明了一类由两台机器组成的简单排队系统方程解的渐近稳定性。遵循G.吾甫尔的方法,我们应用了C0-半群理论和正算子的谱理论。
We prove asymptotic stability of the solutions of equations describing a simple queueing system consisting of two machines separated by a finite storage buffer. Following an approach by G. Gupur, we apply the theory of C0-semigroups and spectral theory of positive operators.