Colored stochastic Petri nets for modelling and analysis of multiclass retrial systems

DOI10.1016/j.mcm.2008.11.006zbMath1165.90361OpenAlexW2009731555MaRDI QIDQ2390172

Nawel Gharbi, Malika Ioualalen, Claude Dutheillet

Publication date: 21 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.11.006

zbMATH Keywords

modellingperformance measuresheterogeneous serversheterogeneous customerscolored generalized stochastic Petri netsfinite source multiclass retrial systems

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85)

Related Items

DIMENSION REDUCTION FOR APPROXIMATION OF ADVANCED RETRIAL QUEUES : TUTORIAL AND REVIEW ⋮ On the efficient solution of a multiserver system with two reattempt orbits ⋮ Analysis of priority multi-server retrial queueing inventory systems with MAP arrivals and exponential services ⋮ The single server retrial queue with finite population: a BSDE approach ⋮ Reducing Delay in Retrial Queues by Simultaneously Differentiating Service and Retrial Rates ⋮ \(\mathrm{M}/\mathrm{M}/c\) retrial queue with multiclass of customers ⋮ Modeling and analysis of network control system based on hierarchical coloured Petri net and Markov chain

Uses Software

• GreatSPN
• GreatSPN 1.7
• lcpSim
• MOSEL

Cites Work

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• A multiserver retrial queue with a finite number of sources of primary calls.
• \(MAP_ 1,MAP_ 2/M/c\) retrial queue with the retrial group of finite capacity and geometric loss.
• Heterogeneous finite-source retrial queues
• A classified bibliography of research on retrial queues: Progress in 1990--1999
• \(\text{MAP}_1, \text{MAP}_2/\text{M/}c\) retrial queue with guard channels and its application to cellular networks
• Heterogeneous finite-source retrial queues with server subject to breakdowns and repairs
• GSPN analysis of retrial systems with servers breakdowns and repairs
• Threshold policies for controlled retrial queues with heterogeneous servers
• Performance Analysis of Retrial Queueing Systems Using Generalized Stochastic Petri Nets
• GreatSPN 1.7: Graphical editor and analyzer for timed and stochastic Petri nets
• On a multiclass batch arrival retrial queue
• Non-preemptive priorities and vacations in a multiclass retrial queueing system
• Retrial Queues

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