A note on simple eigenvalues of matrix polynomials in queueing models with Erlang distribu\-tions

DOI10.1007/BF02896388zbMath1099.60062OpenAlexW2099939335MaRDI QIDQ2504074

Hsin-Yi Liu, Hsing Paul Luh

Publication date: 22 September 2006

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02896388

zbMATH Keywords

maximal polynomialsquasi-birt-and-death process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

The periodic steady-state solution for queues with Erlang arrivals and service and time-varying periodic transition rates

Cites Work

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• The waiting-time distribution and its moments of the PH/PH/1 queue
• Steady-state probabilities of the PH/PH/1 queue
• Real eigenvalues of certain tridiagonal matrix polynomials, with queueing applications
• Analyzing \(GI/E_ r/1\) queues
• An Analytic Approach to a General Class of G/G/s Queueing Systems
• Matrix product-form solutions of stationary probabilities in tandem queues
• An analytical solution for a tandem queue with blocking

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