Analysis of two-warehouse effects on inventory models under preservation technology and ramp-type demand with complete and partial backlogging

This article will introduce an inventory model for deteriorating items under a ramp-type demand rate. In the sequel, preservation technology has appeared to reduce deterioration rate of items. The is considered time-dependent. Due demand, retailers may face complete and partial backlogged shortages. We suggest two-warehouse effect when retailer faces storage capacity problem. this model, it would mean them borrow rented warehouse keep products left from their warehouse. main objective find optimal decision variables, say cycle time, shortages cost. mathematical formulation with solution procedures, relevant theorems, algorithms been developed. Some numerical illustrations discuss verify optimality variables. graphically show iterative scheme obtained by method convexity solution. sensitivity analysis illustration be discussed. At last, managerial implication conclusion discuss.