The pitfall of infeasibility problem in most VRS radial super-efficiency models is a hot issue in data envelopment analysis (DEA) studies. Lee et al. (2012) [European Journal of Operational Research 216 (2012) 429–433] proposed a method to address the problem of infeasibility arises from zero input data in VRS super-efficiency DEA model. In this paper, we point out that their method can be replaced with an alternative approach and the main results are obtained identically from two methods. The proposed alternative method can also overcome the infeasibility problem caused by zero data in super-efficiency DEA models and have several advantages compared to Lee’s model. Meanwhile, two numerical examples are utilized to illustrate validity and applicability of our alternative model.