Multiclass batch arrival retrial queues analyzed as branching processes with immigration
Queueing Systems: Theory and Applications
GreatSPN 1.7: graphical editor and analyzer for timed and stochastic Petri nets
Performance Evaluation - Special issue: performance modeling tools
Frontiers in queueing
Traffic modeling and analysis of hybrid fiber-coax systems
Computer Networks and ISDN Systems
Modelling with Generalized Stochastic Petri Nets
Modelling with Generalized Stochastic Petri Nets
Stochastic Well-Formed Colored Nets and Symmetric Modeling Applications
IEEE Transactions on Computers
Aggregation of States in Colored Stochastic Petri Nets: Application to a Multiprocessor Architecture
PNPM '89 The Proceedings of the Third International Workshop on Petri Nets and Performance Models
An Introduction to the Practical Use of Coloured Petri Nets
Lectures on Petri Nets II: Applications, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Single server retrial queues with priority calls
Mathematical and Computer Modelling: An International Journal
A multiserver retrial queue with a finite number of sources of primary calls
Mathematical and Computer Modelling: An International Journal
MAP1, MAP2/M/c retrial queue with the retrial group of finite capacity and geometric loss
Mathematical and Computer Modelling: An International Journal
Accessible bibliography on retrial queues
Mathematical and Computer Modelling: An International Journal
Modeling of customer retrial phenomenon in cellular mobile networks
IEEE Journal on Selected Areas in Communications
On the efficient solution of a multiserver system with two reattempt orbits
Mathematical and Computer Modelling: An International Journal
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Most retrial models assume that customers and servers are homogeneous. However, multiclass (or heterogeneous) retrial systems arise in various practical areas such as telecommunications and cellular mobile networks. Multiclass models are far more difficult for mathematical analysis than single class ones. So, explicit results are available only in few special cases. Actually, so far multiclass retrial systems have been analyzed only by means of queueing theory and almost all studies consider models with several customer's classes and a service station consisting in one single server or multiple homogeneous (identic) servers and an infinite population size. In this paper, we propose an approach for modelling and analyzing finite-source retrial systems with several customer's classes and server's classes using the Colored Generalized Stochastic Petri Nets (CGSPNs). This high-level mathematical model is appropriate for describing and analyzing the performance of systems exhibiting concurrency and synchronization, possibly with heterogeneous components. Using a high-level formalism makes the description of the system easier, while preserving the possibility of obtaining exact performance results. We show how the main steady-state performance indices can be derived and we analyze the behaviour of heterogeneous retrial systems under two service disciplines. The numerical results are graphically displayed to illustrate the effect of system parameters and service discipline on the mean response time.