Numerical investigation of finite-source multiserver systems with different vacation policies

DOI10.1016/J.CAM.2009.11.040zbMath1188.65009OpenAlexW2073814049WikidataQ113442930 ScholiaQ113442930MaRDI QIDQ966071

Malika Ioualalen, Nawel Gharbi

Publication date: 27 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.040

zbMATH Keywords

algorithmsMarkov chainsnumerical examplesgeneralized stochastic Petri netsPoisson processinfinitesimal generatorqueueing theoryfinite sourceperformance indicesvacation policymultiserver systems

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Queueing theory (aspects of probability theory) (60K25) Numerical analysis or methods applied to Markov chains (65C40)

Related Items (8)

A generalized \(f\)-projection method for countable families of weak relatively nonexpansive mappings and the system of generalized Ky Fan inequalities ⋮ Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers ⋮ Retrial queueing system with balking, optional service and vacation ⋮ Profit optimisation of the multiple-vacation machine repair problem using particle swarm optimisation ⋮ Synchronous working vacation policy for finite-buffer multiserver queueing system ⋮ Unreliable multiserver queueing system with modified vacation policy ⋮ Optimization analysis of the machine repair problem with multiple vacations and working breakdowns ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Analytic and numerical aspects of batch service queues with single vacation
• Queueing systems with vacations - a survey
• Analysis of multi-server queues with station and server vacations
• Analysis of queueing systems with synchronous single vacation for some servers
• Stochastic Petri net analysis of finite-population vacation queueing systems
• Vacation queueing models. Theory and applications
• A two threshold vacation policy in multiserver queueing systems
• A Proof for the Queuing Formula: L = λW
• Conditional stochastic decompositions in the M/M/c queue with server vacations
• Quantifying the performance effects of idle time utilization in multiserver systems

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