Abstract: In the paper, the theory of production frontiers and its non-parametric measurement ac Proaches are used to figure out the input compressing productivity index, Malmquist productivity index based on the input oriented non-parametric production frontiers. The technology efficiency and the distance function and their nonparametric models are introduced on the conditions of Constant Return to Scale and input strong disposability. The Non-parametric measurement approaches and the decomposition of Malmquist productivity index are put forward.

Key words: Malmquist productivity index, production frontiers, non-parametric approaches