An Inverse Dynamic FDH Approach to Estimate Outputs

In many situations, the performance and the changes of outputs related to dynamic systems shouldbe estimated while the convexity property is relaxed. accordingly, first, a dynamic free disposal hull(fdh) model is proposed in this paper to address the effciency of processes in multiple period of time while the convexity assumption is unsatisfied. also, wo problems, including a mixed integer linearprogramming and a linear programming model are provided to compute the dynamic fdh model that is a mixed integer non-linear programming problem. then the changes of multi-period outputs are dealt with for changes of inputs related to several periods using the proposed inverse dynamic fdh model while the eciency levels are preserved. a case study of gas industry is, moreover, presentedto demonstrate the introduced models. the results show the proposed technique is useful to analyze the performance and to estimate outputs in dynamic processes without including convexity.