Analysis of feedback queue system comprised of two serial servers with impatient customers Saini Vandana*,****, Gupta Deepak**, Tripathi A.K.*** *Research Scholar (Mathematics), MM Engineering College, MM (Deemed to be University), Mullana (Ambala), Haryana, India ****Assistant Professor (Mathematics), Govt. College, Naraingarh, Ambala, Email: sainivandana002@gmail.com **Professor & Head, Deptt. of Mathematics, MM Engineering College, MM (Deemed to be University), Mullana (Ambala), Haryana, India, Email: guptadeepak2003@yahoo.com ***Professor, Deptt. of Mathematics, MM Engineering College, MM (Deemed to be University), Mullana (Ambala), Haryana, India, Email: tripathi.adesh@gmail.com Online Published on 09 December, 2022. Abstract Many theoretical queue models with applications, which are helpful in our daily life, have been developed by researchers in last few years. In the present paper modeling of queue network with two servers in series is done in stochastic environment. The customer's impatient behavior has been discussed. Feedback is also allowed at most once for the customer's satisfaction. Probability generating function has been used for the solution of differential difference equations. Behavior of partial queue lengths and mean queue length has been discussed with the increase in service rate, arrival rate and reneging rate. Graphical analysis is also done to understand the situation easily. A particular case has been discussed at the end which compares the utilization of servers with feedback and without feedback. Top Keywords Queuing, Feedback, Reneging, Impatient customers. Top |