Queue-length distribution of a batch service queue with random capacity and batch size dependent service: \(\mathrm{M}/{\mathrm{G}^{Y}_{r}}/1\)

DOI10.1007/s12597-015-0231-8zbMath1360.60168OpenAlexW1871038586MaRDI QIDQ522382

U. C. Gupta, Sourav Pradhan, Sujit Kumar Samanta

Publication date: 28 April 2017

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12597-015-0231-8

zbMATH Keywords

queueingmultiple rootsbatch-size-dependent servicebatch-servicerandom capacity

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Foundations of stochastic processes (60G05)

Related Items (6)

Delay analysis of a two-class batch-service queue with class-dependent variable server capacity ⋮ On steady-state joint distribution of an infinite buffer batch service Poisson queue with single and multiple vacation ⋮ System Occupancy of a Two-Class Batch-Service Queue with Class-Dependent Variable Server Capacity ⋮ Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/Gn(a,b)/1 ⋮ On finite buffer bulk arrival bulk service queue with queue length and batch size dependent service ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance

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