Abstract: Resources is becoming increasingly important role in economic development. In this paper, due to that resource allocation in the presence of certain factors are random, so it proposed that stochastic DEA method is used to carry on comprehensive analysis of resource allocation problem in three aspects, which is from production efficiency, input-output elasticity and production potential. A new random weighted cross efficiency calculation model and a potential production capacity model are established. The formula of the returns to scale is given. Integrated three influencing factors, a new model about resource allocation weights is established. After the numerical example, the calculation results are satisfactory.

Key words: resource allocation, cross efficiency, elasticity, potential production capacity, weight