Lattice path approaches for busy period density of \(GI^b/G/1\) queues using \(C_2\) Coxian distributions

DOI10.1080/15598608.2007.10411832zbMath1159.60030OpenAlexW2053700747MaRDI QIDQ1001707

Bidisha Borkakaty, Kanwar Sen, Manju Lata Agarwal

Publication date: 24 February 2009

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2007.10411832

zbMATH Keywords

batch arrivalsbusy period analysislattice path approach\(GI^b/G/1\)2-phase Cox distribution \(C_2\)

Mathematics Subject Classification ID

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

Related Items (2)

Busy period analysis of queue: lattice path approach ⋮ Lattice path approach for busy period density of \(GIa/Gb/1\) queues using \(C_{2}\) Coxian distributions

Cites Work

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• On the transient waiting times for a GI/M/1 priority queue
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• On queues involving batches
• Lattice paths combinatorics applied to transient queue length distribution of C\(_2/\)M/1 queues and busy period analysis of bulk queues C\(_2^b/\)M/1

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