An Economic Production Inventory Problem withReworking of Imperfect Items in Fuzzy Environment

The classical inventory models are formulated with the assumptions thatthe items are produced with perfect quality. But in reality, product quality maynot always be perfect. Due to machinery fault, unskilled labour fault etc., imperfectquality items may be produced. A proportion of the defective items are assumed torework at a constant rate. Some of the perfect quality items may deteriorate perishor damage at the time of packaging or transportation and these defective items passesfrom the manufacturer or supplier to the customers. Customers then return thesedefective items to the suppliers. In this paper, we formulate a multi-objective imperfectquality inventory model with rework of defective items under the limited storage spacerestrictions in fuzzy environment. Cost parameters are assumed as fuzzy number withdifferent types of left and right branches of membership functions. Problem is solvedby modified geometric programming approach. A numerical example is provided toillustrate the proposed model.