DOI: 10.21276/sjpms.2018.5.1.2

Pages: 36-64

This study aims at introducing a multi-server queues with vacations according to two system performance metrics (average system waiting time, average vacation time). We examine how such a dynamic impacts common system measures such as stability, expected number of customers in the system, probability of an expected time. We have designed a method to calculate performance metrics for the previous queue system defined as average system uptime and average vacation time. We have changed the different features of access rates, service rates and number of servers to achieve the best results and try to improve and develop the system which makes it easier for servers to perform their service to obtain the appropriate vacations for them without being affected by the customer service and the system interest is disrupted where the results related to average system waiting time, average vacation time were found.