Multi item inventory model with shortages under limited storage space and set up cost constraints via Karush Kuhn Tucker conditions approach

Abstract

A multi-item inventory model with shortages and demand dependent on unit cost has been formulated along with storage space and set up cost constraints. In most of the real world situations the cost parameters are imprecise in nature. Hence the cost parameters are imposed here in fuzzy environment. This model is solved by Kuhn-Tucker conditions method. The model is illustrated with numerical example. The model is solved for without shortages as a special case.