Kronecker product-forms of steady-state probabilities with \(C_k/C_m/1\) by matrix polynomial approaches

DOI10.3934/naco.2011.1.691zbMath1261.60086OpenAlexW1970339577MaRDI QIDQ429005

Hsin-Yi Liu, Hsing Paul Luh

Publication date: 25 June 2012

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2011.1.691

zbMATH Keywords

Kronecker productmatrix polynomialsCoxian inter-arrival timesCoxian serverquasi-birth-death processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Matrix methods for summability (40C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Matrix exponential and similar functions of matrices (15A16)