Perishable Inventory Model with Retrial Demands, Negative Customers and Multiple Working Vacations

Subject Areas : International Journal of Mathematical Modelling & Computations

Vijaya Laxmi Pikkala ¹ , Soujanya M.L. ²

1 - Department of Applied Mathematics, Andhra University, Visakhapatnam, India. Pin- 530003
2 - Department of Applied mathematics, Andhra University, Visakhapatnam, India. 530003

Received: 2018-02-16 Accepted : 2018-10-15 Published : 2017-11-01

Keywords: Perishable inventory, (s, S) policy, Retrial demands, Negative customers, Multiple working vacations, Matrix analytic method,

Abstract :

This paper presents the analysis of a continuous review perishable inventory system wherein the life time of each item follows an exponential distribution. The operating policy is (s,S) policy where the ordered items are received after a random time which follows exponential distribution. Primary arrival follows Poisson distribution and they may turnout to be positive or negative and then enter into the orbit. The orbiting demands compete their service according to exponential distribution. The server takes multiple working vacations at zero inventory. We assume that the vacation time, service times both during regular busy period and vacation period are exponentially distributed. Matrix analytic method is used for the steady state distribution of the model. Various performance measures and cost analysis are shown with numerical results.