[This article belongs to Volume - 54, Issue - 02]
Gongcheng Kexue Yu Jishu/Advanced Engineering Science
Journal ID : AES-30-11-2022-502

Title : AN M/G/1 RENEGING AND BALKING FEEDBACK RETRIAL QUEUE WITH DIFFERENT KINDS OF SERVICES AND FINITE WORKING VACATIONS
R. Shanthi1* and R. Priyanka2

Abstract :

An M/G/1 reneging and balking feedback retrial queueing system with finite working vacation is examined. The server under this approach delivers three kinds of services. The arrival is determined by the poisson process. If the server is busy at the arrival epoch, he joins the orbit. If the server is available, one of the incoming clients begins service immediately, and the others joins orbit. The ES is provided by the server to all incoming customers. Following the ES, clients can pick between two forms of SOS or abandon the system. If a consumer is unsatisfied with the service after completing two kinds ES or SOS, he can instantly re-join the orbit as a feedback customer in order to receive another normal service with probability r. Otherwise, he may be forced to leave the system with probability(1-r). Soon after the system has been decommissioned, the server may either wait idle for a customer or take a limited working vacation. Following that, we consider balking to indicate that the server is busy or on vacation, as well as reneging to indicate that the server is on vacation. The carrier and excursion durations both follow favoured distribution. For this model, the SVT was utilised to calculate the PGF of the number of consumers in the line. Some generic display measures can be deduced. A specific case is being researched. Similarly, mathematical research is presented.