Optimal Value of the Service Rate in the Unlimited Model M\M\1

Operations research is the applied side of mathematics, and since its inception it has helped to improve the performance of many systems that used its methods in its workflow, one of the methods of operations research is the theory of queues that have been used in many aspects of life, especially the aspects that are directly related to customer service, and the goal is to serve the customer as soon as possible and at the lowest cost, which prompted many researchers to provide the research and studies that can be applied in systems that have a queue.These studies showed good results, from these studies this research is presented to find the optimal value of the service rate in the unlimited model according to classical logic, we present in this research a study to find the relationship through which we get the optimal value of the service rate using neutrosophic logic and this study is an expansion of the study according to classical logic, through the two studies The great benefit we get when using neutrosophic logic and neutrosophic values in operations research topics is demonstrated.