MaxDEA Pro is one of the most comprehensive non-parametric efficiency tools you can easily run many DEA models and all their possible combinations as well. I attached the link of its website below; however it is not free. GAMS and R also are both powerful, for modeling, however you need some knowledge to construct your model. Unlike GAMS, R is a free software environment (http://www.r-project.org/). There are two powerful packages named FEAR and Bookmarking for efficiency measures in R, that contain methods to estimate technologies and measure efficiencies using DEA and SFA.
Not directly in R (You need to modify the "*.tar.gz" files of the mentioned packages). But it's possible to deal with ordinal variables by GAMS. Review the following paper to know how you can construct your model:
Wade D. Cook, Moshe Kress and Lawrence M. Seiford. "On the Use of Ordinal Data in Data Envelopment Analysis"The Journal of the Operational Research Society; Vol. 44, No. 2 (Feb., 1993), pp. 133-140.
Article On the Use of Ordinal Data in Data Envelopment Analysis
About the software see this - Jablonský, J. (2009). Software Support for Multiple Criteria Decision Making Problems. Management Information Systems, 4(2), 29-34.
About using ordinal values may check Cook&Zhu - Cook, W. D., & Zhu, J. (2006). Rank order data in DEA: A general framework. European Journal of Operational Research, 174, 1021-1038. doi:10.1016/j.ejor.2005.01.063.
Thank you Nikolay. I needed suggestion on the software package that deals with ordinal data which I could use for my research. Is that info available in Jablonsky's paper ?