Steady- State Analysis of Heterogeneous Queuing Model with Reverse Balking and Retention of Impatient Customers

Abstract

In this paper, we develop the concept of reverse balking with reneging and retention in multi-heterogenous servers’ queuing system. Reverse balking is one of the latest concepts in queuing theory. It focuses on the behaviorof arriving customer who joins the system with high probability in spite of large size of the system and viceversa. After joining the system, customer can get impatient and leave the system, thus the concept of retentioncomes to convince them to be remain in queue. Here, steady state solution of the defined system is derivedand after that some measures of effectiveness are performed. comparison of the model is carried out. Some special cases of the model are also studied. This type of situation can be seen in investment businesses..