To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.ejor.2004.07.048 Byline: Diwakar Gupta (a), Arthur V. Hill (b), Tatiana Bouzdine-Chameeva (c) Keywords: Retailing; Inventory; Pricing Abstract: The problem of setting prices for clearing retail inventories of fashion goods is a difficult task that is further exacerbated by the fact that markdowns enacted near the end of the selling season have a smaller impact on demand. In this article, we present discrete-time models for setting clearance prices in such an environment. When demand is deterministic, we compute optimal prices and show that decreasing reservation prices lead to declining optimal prices. When demand is stochastic and arbitrarily correlated across planning periods, we obtain bounds on the optimal expected revenue and on optimal prices. We also develop a heuristic procedure for finding near-optimal prices and test its accuracy through numerical experiments. These experiments reveal new insights for practitioners. For example, the penalty for choosing clearance price once and keeping it unchanged for the remainder of the selling season is found to be small when either the mean reservation prices do not change appreciably over time or when they drop sharply after the first period. Author Affiliation: (a) Department of Mechanical Engineering, Graduate Program in Industrial Engineering, University of Minnesota, 111 Church Street, SE Minneapolis, MN 55455, USA (b) Operations and Management Science Department, Curtis L. Carlson School of Management, University of Minnesota, 321 19th Avenue South, Room 3-150, Minneapolis, MN 55455-0413, USA (c) Department of Information, Decision and Management, Bordeaux Business School, 680 cours de la Liberation Talence 33405, France Article History: Received 2 September 2003; Accepted 15 July 2004