Discrete-time GeoX/D/c/N Queueing System with Batch Geometric Arrivals, Multiple Servers, and Retention of Reneging Customers

Yutae Lee

This paper considers the design and analysis of a discrete-time GeoX/D/c/N queueing system with batch geometric arrivals, multiple servers, and retention of reneging customers. This paper derives the limiting probability distribution of the number of customers in the system and also obtains the expression for the proportion of arriving customers that are blocked.