ON THE TIME-DEPENDENT OCCUPANCY DISTRIBUTION OF THE G/G/1 QUEUING SYSTEM

DOI10.1017/S0269964809000163zbMath1196.60154OpenAlexW2103156143MaRDI QIDQ3645158

Jorge Limón Robles, Martin A. Wortman

Publication date: 16 November 2009

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964809000163

zbMATH Keywords

numerical analysis\(G/G/1\) queueoccupancy distributiontime-dependent regime

Mathematics Subject Classification ID

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

Cites Work

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• GI/G/1 interdeparture time and queue-length distributions via the Laguerre transform
• Transient solution of the virtual waiting time of a single-server queue and its applications
• Laguerre transformation as a tool for the numerical solution of integral equations of convolution type
• Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\)
• Technical Note—Some Simpler Bounds on the Mean Queuing Time
• On steady-state queue size distributions of the discrete-time GI/G/1 queue
• Numerical Solution of Piecewise-Stationary M_t/G_t/1 Queues
• Some inequalities for the queue GI/G/1

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