GI/G/1 interdeparture time and queue-length distributions via the Laguerre transform

DOI10.1007/BF01159474zbMath0671.60090OpenAlexW2092790392MaRDI QIDQ1119292

Joseph R. Litko

Publication date: 1989

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01159474

zbMATH Keywords

Laguerre function expansionQueue length and interdeparture distributionssteady state waiting time distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\) ⋮ ON THE TIME-DEPENDENT OCCUPANCY DISTRIBUTION OF THE G/G/1 QUEUING SYSTEM ⋮ Generating the Laguerre expansion coefficients by solving a one-dimensional transport equation

Cites Work

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• Laguerre transformation as a tool for the numerical solution of integral equations of convolution type
• The bilateral Laguerre transform