Modern Scientific Press

ABSTRACT: The intended study is an attempt to make optimization and decision of Decision making Units (DMUs) with the consideration of the joint optimization of the network from economic and environmental aspects. A multi-objective optimization model was developed and an efficiency sorting multi-objective optimization framework is proposed to solve the model. In the framework, an efficiency sorting strategy is integrated with the multi-objective optimization algorithms. The Joint Optimization DEA model presented in this paper extends the performance measurement DEA technique by evaluating the performance of all DMUs simultaneously. An Interactive method is designed which considers the gap between the target and achieved values of inputs and outputs of the DMUs and provides the decision maker with an appropriate framework to choose the most preferred solution.

ABSTRACT: This paper"s primary goal is to derive an approximate analytical solution to a mathematical model pertaining to a pore network model of deactivation of immobilized glucose isomerase in packed-bed reactors. To solve the previously developed mathematical model, the new approach to homotopy perturbation method is used. For all parameter values, the approximative analytical expressions for the steady-state concentration and current have been determined. The analytical solution and the numerical simulation exhibit excellent agreement. This work"s findings will aid in a better understanding of the examined mathematical model.