Rapid, efficient analysis of the \(\lambda(n)/C_{k}/r/N\) queue, with application to decomposition of closed queuing networks.

DOI10.1016/S0305-0548(98)00011-2zbMath1040.90515OpenAlexW2168662973MaRDI QIDQ1406657

C. J. Willits, Dennis C. Dietz

Publication date: 7 September 2003

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0305-0548(98)00011-2

zbMATH Keywords

queuing networksMarie's methodLarge-scale Markov chains

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Uses Software

• LSQR
• NSPCG
• CGS
• CRAIG

Cites Work

• A numerical solution for the \(\lambda(n)/C_2/r/N\) queue
• Regenerative Analysis and Steady State Distributions for Markov Chains
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• An Approximate Analytical Method for General Queueing Networks
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Numerical Methods in Markov Chain Modeling
• Iterative Solution Methods
• Composite Step Product Methods for Solving Nonsymmetric Linear Systems
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