Inventory System Exposed to Calamities with SCBZ Arrival Property

This study is devoted to the analysis of (s, S) inventory system where the demand process is assumed to a combination of single and bulk demand for entire inventory where the rates of demand have the SCBZ property. The lead times and intervals of time between successive demands are i.i.d random variables. We discuss the exponential case of 2 models. In model 1, unit demand rates are varying and in model 2, bulk demand rates are varying. Steady state probability vector of inventory levels is obtained using NEUTS matrix method by Nutes in 1980. Numerical examples are also presented.