A semigroup approach to queueing systems

Haji, A; Radl, A

doi:10.1007/s00233-007-0726-6

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A semigroup approach to queueing systems

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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: https://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.