Delay analysis of a two-class batch-service queue with class-dependent variable server capacity

DOI10.1007/s00186-017-0627-8zbMath1406.90024OpenAlexW2784232569MaRDI QIDQ1616789

Dieter Claeys, Jens Baetens, Herwig Bruneel, Bart Steyaert

Publication date: 7 November 2018

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-8544314

zbMATH Keywords

delaydiscrete-timebatch servicevariable capacitytwo-class batch-service queue

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (4)

A detailed note on the finite-buffer queueing system with correlated batch-arrivals and batch-size-/phase-dependent bulk-service ⋮ System occupancy in a multiclass batch-service queueing system with limited variable service capacity ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance ⋮ A discrete-time \(\mathrm{GI}^X/\mathrm{Geo}^Y/1\) queue with early arrival system

Cites Work

• Unnamed Item
• Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service
• Polling systems with batch service
• Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
• Queue-length distribution of a batch service queue with random capacity and batch size dependent service: \(\mathrm{M}/{\mathrm{G}^{Y}_{r}}/1\)
• Delay analysis of two batch-service queueing models with batch arrivals: \(Geo^{X }/Geo^{c}/1\)
• Analysis of the discrete-time bulk-service queue Geo/G\(^Y\)/1/N+B.
• Discrete-time bulk-service queues with accessible and non-accessible batches
• Analysis of the queue-length distribution for the discrete-time batch-service \(Geo/G^{a,Y}/1/k\) queue
• A nonpreemptive priority multiserver queueing system with general bulk service and heterogeneous arrivals
• Optimal dispatching of an infinite capacity shuttle with compound Poisson arrivals: Control at a single terminal
• Tail distribution of the delay in a general batch-service queueing model
• Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations
• Analysis of finite-buffer state-dependent bulk queues
• Steady state analysis of a bulk queue with multiple vacations, setup times with \(N\)-policy and closedown times
• Analytic computation schemes for the discrete-time bulk service queue
• Factorization and stochastic decomposition properties in bulk queues with generalized vacations
• LOSS PROBABILITIES FOR THE M^X/G^Y/1/K+B BULK QUEUE
• Polling with Batch Service
• The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure
• Approximations for Product Departures from a Single-Server Station with Batch Processing in Multi-Product Queues
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• System Occupancy of a Two-Class Batch-Service Queue with Class-Dependent Variable Server Capacity
• Optimal batching in a wafer fabrication facility using a multiproduct G/G/c model with batch processing

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