A Mathematical Model for Integrated Green Healthcare Supply Network Design

A Mathematical Model for Integrated Green Healthcare Supply Network Design

Meisam Nasrollahi, Mehdi Safaei, Nooshin Mahmoodi
Copyright: © 2021 |Pages: 29
DOI: 10.4018/IJBAN.2021010104
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Abstract

This research presents a novel integrated mathematical programming model for green healthcare supply network design. A multi-graph integrated supply network was designed to meet real-world situations. Minimizing total cost and minimizing delivery time are considered as the objective functions. Since the considered problem is np-hard and the presented mathematical model is very complex and highly constrained, an innovative non-dominated ranked genetic algorithm (NRGA) called M-NRGA is developed to solve the real word problems. Three different selection procedures were implemented to improve the quality and diversity of solutions in the Pareto-front resulted from M-NRGA. Several numerical examples and a case study are solved to validate the model and performance evaluation of the solution algorithm. Four different performance metrics are implemented for performance evaluation of the solution algorithm. The quality of resulted solutions, the diversity of the solutions in the Pareto front are calculated for evaluation. The results are compared with two other meta-heuristic algorithms.
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Background (Literature Review)

The global economy in the healthcare industry is growing faster than in other economic sectors. Therefore, there are various issues in providing health care and complexity in health care systems around the world that highlight the need for efficient management of health care supply chains (Nasrollahi, Razmi, & Ghodsi, A combined fuzzy PCA approach for location optimization and capacity planning in Glycyrrhizae green supply network design, 2019; Mostaghel, Oghazi, Patel, Parida, & Hultman, 2019; Dallasega & Sarkis, 2018; Benjaafar, Li, & Daskin, 2012). Supply chain management in healthcare is more complex than in other industries due to its impact on public health (Shah, 2004; Benjaafar, Li, & Daskin, 2012; Marcon, Chaabane, Sallez, Bonte, & Trentesaux, 2017). It should be noted that the design of the supply network as a strategic level of supply chain management decisions requires special attention. Due to the wide range of services provided in health and treatment networks and also the need of all members of society for the services of this industry, researchers have recently drawn attention to the proper design of supply chains in the health and treatment industry (Villa, Bellomo, & Cassarino, 2005; Srivastava, 2007; Wendy, Johnsen, Caldwell, & Lewis, 2007; Laya, Markendahl, & Lundberg, 2018; Wald, Lowery-Schrandt, Hayes, & Kotsenas, 2018; Boone, 2019; Fathollahi-Fard, Govindan, Hajiaghaei-Keshteli, & Ahmadi, 2019; Moreno-Camacho, Montoya-Torres, Jaegler, & Gondran, 2019; Zhang, Yang, Yu, & Wang, 2019; Koushki-Jahromi & Safaei, 2020).

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