Exact and asymptotic analysis of infinite server batch service queues with random batch sizes

DOI10.1007/s11134-023-09898-4zbMath1537.6012MaRDI QIDQ6542673

Tuan Phung-Duc, Ayane Nakamura

Publication date: 22 May 2024

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

zbMATH Keywords

transportationcentral limit theoreminfinite server queuebatch servicefactorial momentbus systemsmoment approachride-sharingGI/M/\(\infty\) queueM/\(\mathrm{M}^{G(x)}\)/\(\infty\) queueM/\(\mathrm{M}^X\)/\(\infty\) queuerandom batch sizesrandom variable version of Little's law

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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