Abstract

 In this paper, a discrete time inventory system with demands is generated by a finite number of homogeneous sources. The inter demand times of the primary arrival follows geometric distribution. The inventory is replenished according to an (s, S) policy and the lead times are assumed to follow a geometric distribution. The demands that occur during stock out period is permitted enter into the orbit. These orbiting demands retry for their demand after a random time, which is distributed as geometric. These orbiting demands send out signal to get their requirement and the time interval between two consecutive requests is distributed as geometric and the retrial policy is the multiplicative retrial policy. The joint probability distribution of the number of demands in the orbit and the inventory level is obtained in steady state case and some important system performance measures are derived in the steady state case.

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