TRANSIENT STUDY OF QUEUES WITH IMPATIENCE AND RETENTION

Queuing models with customers’ impatience have become the hot topic of research in the current era. We normally encounter such queuing systems in grocery stores, banks, hospitals, computer-communication networks etc. Customers’ impatience in case of revenue generating businesses leads to loss of revenue while customers’ impatience (packet loss, frame loss etc.) in case of computer-communication networks leads to the loss of valuable information. Hence, the study of queuing systems with impatient customers assumes a lot of significance. In this book we have developed and analysed a number of Markovian queuing systems with customers’ impatience and retention, and have derived their transient solutions. The probability generating function technique and Runge-Kutta method of fourth order are employed for the transient analysis. Some important measures of performance like mean, variance, average reneging rate, and average retention rate are derived and discussed. A number of numerical examples are provided in different chapters of the book which deal with the sensitivity analyses and some comparisons.