A Fuzzy Location-Allocation Problem for Sustainable Design of a Municipal Solid Waste Management Network

Document Type : Research Paper


1 Shahed University

2 Full professor, LCFC, Arts et Métier Paris Tech, Centre de Metz, Metz, France

3 University of Tehran



The municipal concrete waste production has grown recently due to the urban population's considerable increment. With the advances in technology, SWM (solid waste management) has been a significant challenge for many countries worldwide. Therefore, in this paper, a multi-objective mixed-integer linear programming model with three objectives, maximizing job opportunities and minimizing costs and carbon emissions, is extended under uncertainty. A fuzzy goal programming approach is applied to deal with uncertain parameters and solve the proposed multi-objective model. A case study is employed for waste management in Tehran's fifteen urban areas to demonstrate the proposed model's efficiency. Ultimately, the model is solved using the CPLEX solver of GAMS software, and a sensitivity analysis is performed to assess the results.


Asgari, N., Rajabi, M., Jamshidi, M., Khatami, M., & Farahani, R. Z. (2017). A memetic algorithm for a multi-objective obnoxious waste location-routing problem: a case study. Annals of Operations Research, 250(2), 279-308.
Beigl, P., Lebersorger, S., & Salhofer, S. (2008). Modelling municipal solid waste generation: A review. Waste management, 28(1), 200-214.
Chung, C. K., Chen, H. M., Chang, C. T., & Huang, H. L. (2018). On fuzzy multiple objective linear programming problems. Expert Systems with Applications, 114, 552-562.
Edalatpour, M. A., Mirzapour Al-e-hashem, S. M. J., Karimi, B., & Bahli, B. (2018). Investigation on a novel sustainable model for waste management in megacities: A case study in tehran municipality. Sustainable cities and society, 36, 286-301.
Ghiani, G., Guerrieri, A., Manni, A., & Manni, E. (2015). Estimating travel and service times for automated route planning and service certification in municipal waste management. Waste Management, 46, 40-46.
Ghiani, G., Manni, A., Manni, E., & Toraldo, M. (2014). The impact of an efficient collection sites location on the zoning phase in municipal solid waste management. Waste management, 34(11), 1949-1956.
Habib, M. S., & Sarkar, B. (2017). An integrated location-allocation model for temporary disaster debris management under an uncertain environment. Sustainability, 9(5), 716.
Heidari, R., Yazdanparast, R., & Jabbarzadeh, A. (2019). Sustainable design of a municipal solid waste management system considering waste separators: A real-world application. Sustainable Cities and Society47, 101457.
Herva, M., Neto, B., & Roca, E. (2014). Environmental assessment of the integrated municipal solid waste management system in Porto (Portugal). Journal of cleaner production, 70, 183-193.
Hoang, G. M., Fujiwara, T., Phu, T. S. P., & Nguyen, L. D. (2019). Sustainable solid waste management system using multi-objective decision-making model: a method for maximizing social acceptance in Hoi An city, Vietnam. Environmental Science and Pollution Research26(33), 34137-34147.
Hoornweg, D., & Bhada-Tata, P. (2012). What a waste: a global review of solid waste management.
Hrabec, D., Šomplák, R., Nevrlý, V., & Smejkalova, V. (2018). Sustainable model integration of waste production and treatment process based on assessment of GHG. Chemical Engineering Transactions.
Jimenez, M., et al., 2007. Linear programming with fuzzy parameters: an interactive method resolution. European Journal of Operational Research, 177, 1599–1609.
Khan, S., & Faisal, M. N. (2008). An analytic network process model for municipal solid waste disposal options. Waste management, 28(9), 1500-1508.
Lohri, C. R., Camenzind, E. J., & Zurbrügg, C. (2014). Financial sustainability in municipal solid waste management–Costs and revenues in Bahir Dar, Ethiopia. Waste management, 34(2), 542-552.
Louati, A. (2016). Modeling municipal solid waste collection: A generalized vehicle routing model with multiple transfer stations, gather sites and inhomogeneous vehicles in time windows. Waste Management, 52, 34-49.
Lv, J., Dong, H., Geng, Y., & Li, H. (2020). Optimization of recyclable MSW recycling network: A Chinese case of Shanghai. Waste Management, 102, 763-772.
Moon, I., Shin, E., & Sarkar, B. (2014). Min–max distribution free continuous-review model with a service level constraint and variable lead time. Applied Mathematics and Computation, 229, 310-315.
Mousavi, S.M., Tavakkoli-Moghaddam, R., & Jolai, F.,  (2013). A possibilistic programming approach for a location problem of multiple cross-docks and vehicle routing scheduling under uncertainty, Engineering Optimization, 45(10), 1223-1249.
Ng, W., Varbanov, P., Klemeš, J., Hegyháti, M., Bertok, B., Heckl, I., & Lam, H. (2013). Waste to energy for small cities: economics versus carbon footprint. Chemical Engineering Transactions, 35, 889-894.
Paul, K., Chattopadhyay, S., Dutta, A., Krishna, A. P., Ray, S., (2018). A comprehensive optimization model for integrated solid waste management system: A case study. Environmental Engineering Research, 24(2), 220-237.
Rabbani, M., Heidari, R., & Yazdanparast, R. (2019). A stochastic multi-period industrial hazardous waste location-routing problem: Integrating NSGA-II and Monte Carlo simulation. European Journal of Operational Research, 272(3), 945-961.
Sharholy, M., Ahmad, K., Mahmood, G., & Trivedi, R. C. (2008). Municipal solid waste management in Indian cities–A review. Waste management, 28(2), 459-467.
Shin, D., Guchhait, R., Sarkar, B., & Mittal, M. (2016). Controllable lead time, service level constraint, and transportation discounts in a continuous review inventory model. RAIRO-Operations Research, 50(4-5), 921-934.
Su, J., Xi, B. D., Liu, H. L., Jiang, Y. H., & Warith, M. A. (2008). An inexact multi-objective dynamic model and its application in China for the management of municipal solid waste. Waste Management, 28(12), 2532-2541.
Thikimoanh, L., Bloemhof-Ruwaard, J. M., van Buuren, J. C., van der Vorst, J. G., & Rulkens, W. H. (2015). Modelling and evaluating municipal solid waste management strategies in a mega-city: the case of Ho Chi Minh City. Waste Management & Research, 33(4), 370-380.
Vahdani, B., Jolai, F., Tavakkoli-Moghaddam, R., & Mousavi, S.M., (2012). Two fuzzy possibilistic bi-objective zero-one programming models for outsourcing equipment maintenance problem, Engineering Optimization, 44(7), 801–820.
Wilson, D. C. (1985). Long-term planning for solid waste management. Waste Management & Research, 3(3), 203-216.
World Bank, (2012). WHAT a WASTE : a Global Review of Solid Waste Management. Urban evelopment Knowledge Papers. https://siteresources.worldbank.org/INTURBANDEVELOPMENT/Resources/336387334852610766/What_a_.
Yousefloo, A., & Babazadeh, R. (2020). Mathematical Model for Optimizing Green Waste Recycling Networks Considering Outsourcing. Industrial & Engineering Chemistry Research, 59(17), 8259-8280.
Zhang, Y., Huang, G. H., & He, L. (2014). A multi-echelon supply chain model for municipal solid waste management system. Waste management, 34(2), 553-561.