Davoodi, Ali, Ghodratnam, Ali, Mohammadi, Mohammad. (1401). Solving a multi-objective hierarchical location model for the healthcare problem considering congestion by LP-metric and augmented epsilon-constraint approaches. , 7(2), 60-92. doi: 10.22070/jqepo.2022.15563.1217
Ali Davoodi; Ali Ghodratnam; Mohammad Mohammadi. "Solving a multi-objective hierarchical location model for the healthcare problem considering congestion by LP-metric and augmented epsilon-constraint approaches". , 7, 2, 1401, 60-92. doi: 10.22070/jqepo.2022.15563.1217
Davoodi, Ali, Ghodratnam, Ali, Mohammadi, Mohammad. (1401). 'Solving a multi-objective hierarchical location model for the healthcare problem considering congestion by LP-metric and augmented epsilon-constraint approaches', , 7(2), pp. 60-92. doi: 10.22070/jqepo.2022.15563.1217
Davoodi, Ali, Ghodratnam, Ali, Mohammadi, Mohammad. Solving a multi-objective hierarchical location model for the healthcare problem considering congestion by LP-metric and augmented epsilon-constraint approaches. , 1401; 7(2): 60-92. doi: 10.22070/jqepo.2022.15563.1217

Solving a multi-objective hierarchical location model for the healthcare problem considering congestion by LP-metric and augmented epsilon-constraint approaches

Journal of Quality Engineering and Production Optimization
مقاله 4، دوره 7، شماره 2، اسفند 2022، صفحه 60-92    اصل مقاله (1008.61 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22070/jqepo.2022.15563.1217
نویسندگان
Ali Davoodi1؛ Ali Ghodratnam* 2؛ Mohammad Mohammadi1
1Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran
2Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran.
چکیده
This paper addresses optimal locating healthcare facilities problem regarding the essential role of these systems on expense and equity at the strategic level to decision-makers. As a result, a multi-objective model with a hierarchical structure and congestion consideration is proposed for the location issue, which is the main contribution of this study. A mixed-integer non-linear programming (MINLP) model is developed to reduce overall system expenses, such as setup, operating, travel costs, and total waiting time at facility levels, while concurrently maximizing the number of covered patients. Furthermore, two M/M/1/K and M/M/C/K queue systems are utilized at facility levels. Then, two LP-metric and Augmented epsilon-constraint methods are implied. Several examples are conducted and evaluated using statistical tests and the TOPSIS approach to assess the performance of the solution strategies. After that, a sensitivity analysis is carried out. The findings indicate that the proposed model may be used as a tool to assist decision-makers in the design of multi-level healthcare facilities. 
کلیدواژه‌ها
Hierarchical Location؛ Queue Theory؛ Multi-Objective؛ Augmented epsilon-Constraint؛ LP-metric؛ Uncertainty
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