Conference abstracts

Session A7 - Stochastic Computation

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Performance Modeling of Finite-Source priority queue with vacations via Generalized Stochastic Petri Nets

Sedda Hakmi

Research Unit LaMOS (Modeling and Optimization of Systems),University of Bejaia., Algeria   -   sed.hakmi@gmail.com

Abstract. Our study deals with performance modeling and analysis of finite-source non-preemptive priority queue with vacations via Generalized Stochastic Petri Nets (GSPN). Indeed, we considered two classes of non-preemptive priority: high priority and low priority request. The service times and the inter-arrival times are assumed to be exponentially distributed. The corresponding GSPN model of the studied system provided us a formal method for generating Markov Chain (MC) which allowed us to develop the formulas of the main stationary performance measures. Therefore, we provide an exact analysis for the performance indices of both requests classes. Through numerical examples, we discuss the impact of vacation and arrival rates on the network performances.

Keywords: Generalized Stochastic Petri Nets, Modeling, Performance Evaluation, Priority Queue.

Joint work with Ouiza Lekadir (Research Unit LaMOS (Modeling and Optimization of Systems),University of Bejaia, Algeria) and Djamil Aïssani (Research Unit LaMOS (Modeling and Optimization of Systems),University of Bejaia, Algeria).

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