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A semigroup approach to queueing systems
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.
@article{5790, title = {A semigroup approach to queueing systems}, journal = {Semigroup Forum}, 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.}, volume = {75}, number = {3}, pages = {610-624}, organization = {Max-Planck-Gesellschaft}, school = {Biologische Kybernetik}, month = dec, year = {2007}, slug = {5790}, author = {Haji, A. and Radl, A.}, month_numeric = {12} }
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