Data Envelopment Analyses
Ham,id Reza Yoosefzade; Azam Teimuri; Aghile Heidari
Abstract
The models of Data Envelopment Analysis (DEA) based on Goal Programming (GDEA) seeks to address some drawbacks of classical DEA by increasing the degree of resolution and providing real weights to Decision-Making Units (DMUs). Experimental results indicate that the GDEA models do not completely cope ...
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The models of Data Envelopment Analysis (DEA) based on Goal Programming (GDEA) seeks to address some drawbacks of classical DEA by increasing the degree of resolution and providing real weights to Decision-Making Units (DMUs). Experimental results indicate that the GDEA models do not completely cope with these in some cases which are tested. Also, in calculating the optimal solution with different methods of evaluating the efficiency of units, we are faced with a group of Pareto optimal solutions that make a decision maker facing a serious challenge in choosing the most appropriate solution. To solve this, in the first step, this paper uses the concepts of fuzzy logic and then proposes the F-GDEA approach based on fuzzy logic in solving the GDEA models, which increases the resolution of the methods to rank the units. In the second step, by using the F-GDEA approach, we propose a new hybridized fuzzy approach called HF-GDEA for short, taking into account the various ranking results from the different programming models. With this new proposed approach, we combine the rankings obtained from different methods and present a new ranking for the DMUs. In other words, the HF-GDEA approach makes it possible to compare and thus select an optimal solution from Pareto's optimal solutions set. Finally, the proposed approach is applied to two practical examples and their numerical results are presented.
Location Modeling
Reza Hasan Zadeh; Shirin Alizade
Abstract
Crises are the inevitable realities of human life; which is an accident that occurs naturally or suddenly or increasingly by human and to address it, there is a need for urgent and fundamental measures.When the crisis occurs, pre-determined storage locations will play an important role in relief; therefore, ...
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Crises are the inevitable realities of human life; which is an accident that occurs naturally or suddenly or increasingly by human and to address it, there is a need for urgent and fundamental measures.When the crisis occurs, pre-determined storage locations will play an important role in relief; therefore, the selection of suitable places for warehouses is one of our main goals in this research. In this research, a bi-objective linear programing model with integer variables is developed. The proposed model attempt to minimize total cost along with maximizing the minimum weight of open shelter areas while deciding on the location of shelter areas, the assigned population points to each open shelter area and controls the utilization of open shelter areas. In order to solve proposed model, some of well-known multi-objective, exact methods includes a weighted sum method, LP-metric method, and goal programing approach are employed.Finally, the best open shelter areas with considering the minimum cost is obtained, which these results can be useful for crisis organizations.