A Bi-level Meta-heuristic Approach for a Hazardous Waste Management Problem

Document Type : Original Article


1 School of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

3 Department of Industrial Engineering, Nowshahr Branch, Islamic Azad University, Nowshahr, Iran


This study concentrates on designing a medical waste management system with a hierarchical structure, including a local government and a waste management planner. The upper-level seeks to design and control the waste management facilities by minimizing the environmental risks related to the disposal of medical waste. While, the lower-level model is to determine the waste collection plans by only minimizing its total operational costs. Therefore, this study develops a bi-level mathematical model, in which the benefits of the both stakeholders are taken into account. As this problem poses difficulty in searching for the optimal solution, a bi-level meta-heuristic approach based on the Genetic Algorithm (GA) is employed for solving the problem. Finally, a case study is conducted to show that the proposed model and solution approach are practical and efficient.


1. Chang, J.S. and Mackett, R.L., "A bi-level model of the relationship between transport and residential location",
1310 Z. Saeidi-Mobarakeh et al. / IJE TRANSACTIONS A: Basics Vol. 33, No. 7, (July 2020) 1304-1310
Transportation Research Part B: Methodological, Vol. 40, No. 2, (2006), 123-146. https://doi.org/10.1016/j.trb.2005.02.002
2. Shih, L.-H. and Lin, Y.-T., "Optimal routing for infectious waste collection", Journal of Environmental Engineering, Vol. 125, No. 5, (1999), 479-484. https://doi.org/10.1061/(ASCE)0733-9372(1999)125:5(479)
3. Shih, L.-H. and Chang, H.-C., "A routing and scheduling system for infectious waste collection", Environmental Modeling & Assessment, Vol. 6, No. 4, (2001), 261-269. https://link.springer.com/article/10.1023/A:1013342102025
4. Shih, L.-H. and Lin, Y.-T., "Multicriteria optimization for infectious medical waste collection system planning", Practice Periodical of Hazardous, Toxic, and Radioactive Waste Management, Vol. 7, No. 2, (2003), 78-85.
5. Chaerul, M., Tanaka, M. and Shekdar, A.V., "Resolving complexities in healthcare waste management: A goal programming approach", Waste Management & Research, Vol. 26, No. 3, (2008), 217-232.
6. Alagöz, A.Z. and Kocasoy, G., "Improvement and modification of the routing system for the health-care waste collection and transportation in istanbul", Waste Management, Vol. 28, No. 8, (2008), 1461-1471.
7. Shi, L., Fan, H., Gao, P. and Zhang, H., "Network model and optimization of medical waste reverse logistics by improved genetic algorithm", in International Symposium on Intelligence Computation and Applications, Springer., (2009), 40-52.
8. Nolz, P.C., Absi, N. and Feillet, D., "A stochastic inventory routing problem for infectious medical waste collection ,"
Networks, Vol. 63, No. 1, (2014), 82-95.
9. Hachicha, W., Mellouli, M., Khemakhem, M. and Chabchoub, H., "Routing system for infectious healthcare-waste transportation in tunisia: A case study", Environmental Engineering and Management Journal, Vol. 13, No. 1, (2014), 21-29.
10. Alshraideh, H. and Qdais, H.A., "Stochastic modeling and optimization of medical waste collection in northern jordan", Journal of Material Cycles and Waste Management, Vol. 19, No. 2, (2017), 743-753.
11. Mantzaras, G. and Voudrias, E.A., "An optimization model for collection, haul, transfer, treatment and disposal of infectious medical waste: Application to a greek region", Waste Management, Vol. 69, (2017), 518-534.
12. Wichapa, N. and Khokhajaikiat, P., "Solving a multi-objective location routing problem for infectious waste disposal using hybrid goal programming and hybrid genetic algorithm", International Journal of Industrial Engineering Computations, Vol. 9, No. 1, (2018), 75-98. DOI: 10.5267/j.ijiec.2017.4.003
13. Davoodi, R., Eslami Hasan Abadi, S., Sabouri, G., Salehi, M., Ghooshkhanei, H., Rahmani, S., Soltanifar, A., Zare Hoseini, M., Asadi, M. and Gharaeian Morshed, M., "Medical waste management in the second largest city of iran (mashhad) with three-million inhabitants", Journal of Patient Safety & Quality Improvement, Vol. 2, No. 4, (2014), 160-164.