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A semigroup approach to queueing systems

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons84152

Radl,  A
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Citation

Haji, A., & Radl, A. (2007). A semigroup approach to queueing systems. Semigroup Forum, 75(3), 610-624. doi:10.1007/s00233-007-0726-6.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-CADB-7
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.