DOI: 10.21276/sjpms.2018.5.1.1

Pages: 1-35

This study aims at introducing a multi-server queues with vacations according to two system performance metrics (average waiting time in row Wq, average row length Lq). We examine how such a dynamic impacts common system measures such as stability, expected number of customers in the system, probability of waiting and expected waiting 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 designed a method to calculate performance metrics for the previous queue system defined as the average waiting time in the row and the average grade length. We changed the different parameters of access rates, service rates, and number of servers to achieve the best results and try to improve and develop the system, making 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's interest is disrupted and we obtained the following results where the results related to average waiting time in row Wq, average row length Lq were found.