Working vacation queue with K-phases essential service and vacation interruptions

This paper investigates queue with working vacation and vacation interruptions with k-phases essential service. All k-phases are essential for each customer to complete the whole service process. According to working vacation, the sever works at a lower rate rather than completely stopping the service during the vacation period. Various performance measures are determined using matrix geometric method (MGM). Moreover, numerical results have also been provided. Finally, conclusion has been given.