Speakers NEW!!! > Oukid Houria

Martingale Methods For Analysing The Non-Markovian Multiserver Retrial Queues
Houria Oukid  1@  
1 : Université de Saâd Dahlab [Blida]  -  Website
LÚniversité Saâd Dahlab de Blida ou lÚniversité de Blida 1 route de Soumâa BP 270 Blida (09000) -  Algeria

In this paper we use the martingale method for analysing a non-Markovian multiserver queue with identical servers and losses. The orbite hase waiting space and where customers that arrive when all servers are busy and the waiting space occupied are dropped and lost. Time intervals between possible retrials are assumed to have arbitrary distribution. Using the Doob-Meyer semimartingale decomposition, we provide an analysis of the general problem when the arrival and departure processes are quite general point processes and then solve it for particular special case when the arrival, departure and retrials processes are Markovian and the case when these processes are nonhomogeneous Poisson processes.


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