A Simple and Extended Computational Analysis of M/Gj(a,b)/1 and M/Gj(a,b)/1/(B + b) Queues Using Roots

DOI10.3138/infor.50.2.072MaRDI QIDQ6102747

Mohan L. Chaudhry, Unnamed Author

Publication date: 9 May 2023

Published in: INFOR: Information Systems and Operational Research (Search for Journal in Brave)

zbMATH Keywords

queueingroot-finding methodbulk service

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Related Items (10)

Analyzing an infinite buffer batch arrival and batch service queue under batch-size-dependent service policy ⋮ Algorithm for computing the queue length distribution at various time epochs in \(\mathrm{DMAP}/G^{(1, a, b)}/1/n\) queue with batch-size-dependent service time ⋮ Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service ⋮ Tandem queues with impatient customers for blood screening procedures ⋮ Sojourn-time distribution for \(M/G^a/1\) queue with batch service of fixed size -- revisited ⋮ Analysis of the sojourn time distribution for \(M/GL/1\) queue with bulk-service of exactly size \(L\) ⋮ Computational analysis of bulk service queue with Markovian arrival process: MAP/R\(^{(a,b)}/1\) queue ⋮ Queue length and server content distribution in an infinite-buffer batch-service queue with batch-size-dependent service ⋮ Queue-length distribution of a batch service queue with random capacity and batch size dependent service: \(\mathrm{M}/{\mathrm{G}^{Y}_{r}}/1\) ⋮ Analysis and optimal control of a queue with infinite buffer under batch-size dependent versatile bulk-service rule

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