OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 1 1 2011 12 22 RANKING DMUS ON THE BENCHMARK LINE WITH EQUAL SHADOW PRICES 27 33 EN Z. Molaee Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics A. Zandi Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics Journal Article 2011 12 22 Data envelopment analysis (DEA) with considering the best condition for each decision making unit (DMU) assesses the relative efficiency for it and divides a homogenous group of DMUs in to two categories: efficient and inefficient, but traditional DEA models can not rank efficient DMUs. Although some models were introduced for ranking efficient DMUs, Franklin Lio & Hsuan peng (2008), proposed a common weights analysis (CWA) approach for ranking them. These DMUs are ranked according to the efficiency score weighted by the common set of weights and shadow prices. This study shows there are some cases that shadow prices of efficient DMUs are equal, hence this method is not applicable for ranking them. Next, we propose a new method for ranking units with equal shadow prices.