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A New Mathematical Model to Solve the Assignment Problems Caused by Multiple Heterogeneous Inputs and Outputs | ||
| Industrial Management Journal | ||
| مقاله 1، دوره 9، شماره 1، 2017، صفحه 1-18 اصل مقاله (741.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/imj.2017.126879.1006872 | ||
| نویسندگان | ||
| Adel Azar1؛ Hossein Mohebbi* 2؛ Ameneh Khadivar3؛ Abasali Heydari4 | ||
| 1Prof. of Industrial Management, Tarbiat Modares University, Tehran, Iran | ||
| 2Assistant Prof. in Industrial Management, Ayatollah Haeri University of Meybod , Iran | ||
| 3Assistant Prof., Faculty of Management, Alzahra University, Tehran, Iran | ||
| 4Associate Prof., Faculty of Electrical Engineering, Yazd University, Yazd, Iran | ||
| چکیده | ||
| Nowadays assignment issues, as one of the optimization problems in the field of Operations Research is studied by many researchers. Assignment issue is known as a type of NP-Hard issues. However, in real applications, various inputs and outputs are usually concerned in an assignment problem. This paper, based on some of Electrical Engineering concepts that can be considered equivalent to the concept of efficiency in data envelopment analysis, provides a new linear programming model to resolve assignment problems with multiple diverse inputs and outputs for each possible assignment. The objective function in this model is maximum of comparative efficiency rather than cost or profit. The main advantages of this new mathematical model include faster convergence to the optimum solution, focusing on a single mathematical model at the same time not several models, stability in the number of variables and constraints of the proposed model considering any increase in the number of inputs or outputs of problem and also less computational time compared to the other conventional approaches. The proposed model was described along with an applied example, then the results were compared with that of the model proposed by Chen and Lu. | ||
| کلیدواژه‌ها | ||
| Assignment problem؛ Data Envelopment Analysis؛ Efficiency؛ Electrical circuits؛ Multiple inputs and outputs | ||
| مراجع | ||
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