Models of Perishable Queueing-Inventory Systems with Server Vacations

The model of perishable queueing-inventory system with server vacations is studied. Upon service completion, server takes vacation if there are no customers in the queue and it starts service at the end of the vacation if the number of customers in the system exceeds some threshold; otherwise, it takes new vacation. Exact and approximate methods are proposed to calculate the characteristics of the system.