MxG1 Retrial Queue with Priority, Collisions and Feedback Customers

This articles provides a detailed study of retrial queueing model with collisions, feedback and priority customers. The motive for this model come from various application in packet switching networks, random access protocols in local area networks, e-commerce systems, production systems and real time situations. The objective of the work is to derive the performance measures like stable state probabilities, regular systems extent and regular orbit size of the proposed model by Supplementary variable Method. Accept that customer attain the systems conferring to Poisson procedure. If the servers is demanding the incoming consignment either enter to the retrial queue or one of the customer disrupts the customers in facility to get his service and the disrupted customer with remaining customers join the retrial queue or creates a collision with existing customer and all being shifted to the retrial queue. When the server is free, the customer in the incoming batch begins the service directly and breaks change to the path. The customer is allowed to make a feedback. We discuss special cases for this model and we analyse the numerical results of effects in various limits on the system presentation actions.