An experimental evaluation of the matrix-geometric method for theGI/PH/1 queue

DOI10.1080/15326348908807128zbMath0702.60083OpenAlexW2007782711MaRDI QIDQ3481040

Vaidyanathan Ramaswami, Guy Latouche

Publication date: 1989

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326348908807128

zbMATH Keywords

Fortran packagenumerical evaluationmatrix-geometric methodcomputational complexity and numerical accuracy

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (7)

ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS ⋮ Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach ⋮ A class of iteration methods based on the Moser formula for nonlinear equations in Markov chains ⋮ From the matrix-geometric to the matrix-exponential ⋮ Using state reduction for computing steady state vectors in Markov chains of \(M/G/1\) type ⋮ Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\) ⋮ On the design of a finite-capacity queue with phase-type service times and hysteretic control

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