A Semigroup Approach to Queueing Systems |
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| Authors: | Abdukerim Haji Agnes Radl |
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| Affiliation: | (1) College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;(2) Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D-72076 Tubingen, Germany |
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| Abstract: | ![]()
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. |
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