- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:2
- A NOTE ON FLUID APPROXIMATION OF RETRIAL QUEUEING SYSTEM WITH TWO ORBITS, ABANDONMENT AND FEEDBACK
A NOTE ON FLUID APPROXIMATION OF RETRIAL QUEUEING SYSTEM WITH TWO ORBITS, ABANDONMENT AND FEEDBACK
Authors : AMINA ANGELIKA BOUCHENTOUF, ABBESRABHI, LAHCENEYAHIAOUI
Pages : 51-66
Doi:10.36753/mathenot.207622
View : 45 | Download : 7
Publication Date : 2014-12-01
Article Type : Research Paper
Abstract :This paper deals with the asymptotic analysis of a queueing system model consisting of two orbits, ctservers, t ≥ 0, abandoned and feedbackcustomers. Two independent Poisson streams of customers arrive to the system, an arriving one of type i, i = 1, 2 is handled by an available server, ifthere is any; otherwise, he waits in an infinite buffer queue. A waiting customer of type i who did not get connected to a server will lose his patience andabandon after an exponentially distributed amount of time, the abandoned onemay leave the system insert ignore into journalissuearticles values(loss customer); or move to the orbit depending of itstype, from which he makes a new attempts to reach the primary queue, thislatter may lose his patience and leave the system definitively insert ignore into journalissuearticles values(from the orbit);after an exponentially distributed amount of time. When a customer finisheshis conversation with a server, he may comeback to the system for anotherserviceKeywords : Queueing system, call center, retrial queue, fluid approximation, abandonment, feedback
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