(s, Q) Inventory system with delayed working vacations

Abstract

In this paper, a perishable inventory system model with multiple working vacations and orbital search simultaneously is considered. The customer arrivals to the service centre assumed to be a Poisson process. Whenever the waiting place is full, arrivals of new customers enter into the orbit. The server searches for an orbiting customer with a certain probability once the waiting place becomes empty and inventory will be positive. In the case of search time, the study assumes it to be negligible. The steady-state case assumes that joint probability distribution of the random variables in the inventory model. The measures of system performance in the steady state are obtained, and the total average cost is also computed. Numerical evidences are provided to support the proposed model.