A. Ghane Kanafi
Department of Mathematic
[ 1 ] - An effective method based on the angular constraint to detect Pareto points in bi-criteria optimization problems
The most important issue in multi-objective optimization problems is to determine the Pareto points along the Pareto frontier. If the optimization problem involves multiple conflicting objectives, the results obtained from the Pareto-optimality will have the trade-off solutions that shaping the Pareto frontier. Each of these solutions lies at the boundary of the Pareto frontier, such that the i...
[ 2 ] - The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems
In managerial and economic applications, there appear problems in which the goal is to simultaneously optimize several criteria functions (CFs). However, since the CFs are in conflict with each other in such cases, there is not a feasible point available at which all CFs could be optimized simultaneously. Thus, in such cases, a set of points, referred to as 'non-dominate' points (NDPs), will be...
[ 3 ] - A Two-Phase Simulation-Based Optimization of Hauling System in Open-Pit Mine
One of the key issues in mining is the hauling system. Truck and shovels are the most widely used transportation equipment in mines. In this paper, a two-phase simulation-based optimization is presented to maximize utilization of hauling system in the largest Iranian open-pit copper mine. In the first phase, The OptQuest for Arena software package was used to solve the optimization problem to p...
[ 4 ] - Two-Stage Network DEA with Undesirable Outputs: An Application in the Air Transportation in the Spain
In this paper, two non-linear technologies are proposed based on weak disposability definitions: weak disposability with non-uniform abatement factors and new weak disposability. Both technologies are applied to Spanish airport systems and the existing technologies are modified. To remove the computational complexity of non-linear approaches, the linearization methods are proposed. Then, in ord...