Nonpre-Emptive Integer Nonlinear Goal Programming Model for Multi-Item Inventory Problem: Case Study of a Car Retail Centre in Lagos State.

Most of the real-world optimization problems involve multiple objectives with constraint resources. Retailers oftentimes anticipate demand, they stock, and maintain warehouses different variety products at high cost to meet prospecting customers' demand. In this paper, a Non-preemptive Integer Nonlinear Goal Programming (NINGP) model was developed for obtaining Economic Order Quantities (EOQ) multi-item inventory that satisfy conflicting Decision Maker (DM). The particular case considered motor vehicle dealer who sells 10 brands Tokunbo vehicles wants determine EOQ each brand such deviations from aspiration level are minimized. Using LINGO 17.0 Software solve NINGP model, allocated type 1 through 2, 5, 3 3, cars respectively. optimal number 28 associated ₦53,825,915. Compared estimated budget ₦60,000,000, approach able achieve 10% (₦6,174,085) below budget. With proper modifications considering constraints, related can be solved using model.