Multiple eigenvalues in spectral analysis for solving QBD processes

DOI10.1007/S11009-007-9036-4zbMath1145.60040OpenAlexW1977809545MaRDI QIDQ937161

Winfried K. Grassmann, Steve Drekic

Publication date: 20 August 2008

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-007-9036-4

zbMATH Keywords

Jordan blocksEigenvaluesPriority queuesQuasi birth-and-death processes

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Eulerian polynomials and Quasi-Birth-Death processes with time-varying-periodic rates

Cites Work

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• Finding equilibrium probabilities of QBD processes by spectral methods when eigenvalues vanish
• An eigenvalue approach to analyzing a finite source priority queueing model
• A preemptive priority queue with balking
• The Use of Eigenvalues for Finding Equilibrium Probabilities of Certain Markovian Two-Dimensional Queueing Problems
• Computation of Steady-State Probabilities for M/M/1 Priority Queues
• A Tandem Queuewith a Movable Server: An Eigenvalue Approach
• Polynomial Factorization for Servers with Semi-Markovian Workload: Performance and Numerical Aspects of a Verified Solution Technique
• An analytical solution for a tandem queue with blocking

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