Application of Uncertain Programming to an Inventory Model for Imperfect Quantity under Time Varying Demand Arindum Mukhopadhyay a and A. Goswami b Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, India Abstract In the present paper we investigate a EOQ model for imperfect items under time variable linear demand. The defective items is being screened out by a 100 % screening process and then sold in a single batch by the end of the 100% screening process with a salvage price. The unsold perfect item during the cycle is sold at a different salvage price at the end of cycle. Two different types for cost parameters are considered namely crisp constant and uncertain variable. For each case, optimal policy is obtained. We have considered expected value model and uncertain chance constraint programming for the Uncertain EOQ model. Numerical example and sensitivity analysis are provided to illustrate the effectiveness of the above models. keywords Inventory, Imperfect quality; Economic Order Quantity 1 Introduction Inventory management is the one of the important branch in management sciences. The main key of a successful business is to provide the customer his demand within shortest possible time, with the best quality, and all at a competitive price. Using proper Inventory Management this is quite possible to achieve. The classical economic order quantity (EOQ) model and its variants are popular among researchers and management professionals for their simplicity. Applying the various modifications on the traditional EOQ model, academicians and professionals are always interested to develop a model which can cope with real life situations in much better way. Every year hundreds of research papers are being published in this area in various national and international journals. The fundamental EOQ model developed by Harris(1915) involved the assumption of constant demand and perfect quality items ; both of these conditions fail to cope up with the realistic situations in the Business scenario. In reality, the production process is not always free of defects. Imperfect quality items are unavoidable in an inventory system due to imperfect production process, natural disasters, damages, or many other reasons. During last decades lot-of research work were published in the area of EOQ and EPQ of imperfect quality items.Rosenblatt and Lee [19] discussed an EPQ model where they assumed that the defective items could be reworked instantaneously at a cost and found that the presence of a fraction of defective products motivates smaller lot sizes. Shwaller a E-mail: arindum.iitkgp@gmail.com All Correspondence to: b E-mail: goswami@maths.iitkgp.ernet.in AMO - Advanced Modeling and Optimization. ISSN: 1841-4311 565 AMO - Advanced Modeling and Optimization, Volume 15, Number 3, 2013