Modeling and Optimization of Chemical Fertilizers Supply Chain using Hybrid Whale Optimization and Simulated Annealing

Subject Areas : Supply Chain Management

Motahareh Rabbani ¹ , Seyyed Mahammad Hadji Molana ² , Seyed Mojtaba Sajadi ³ , Mohammad Hossein Davoodi ⁴

1 - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - دانشکده مهندسی صنایع، دانشگاه آزاد اسلامی واحد علوم و تحقیقات، تهران، ایران
3 - School of Strategy and Leadership, Faculty of Business and Law, Coventry University, Coventry, UK
4 - Soil and Water Research Institute, Karaj, Iran

Received: 2023-02-16 Accepted : 2023-06-17 Published : 2022-12-01

Keywords: Simulated Annealing, phosphorus, chemical fertilizers, Whale Optimization Algorithm, Sustainable supply chain management,

Abstract :

Phosphorus is a basic constituent of chemical fertilizers and plays a pivotal role in crop yield enhancement in agriculture systems. Considering the growing demands for phosphorus and the limited resources of this vital substance, sustainable supply chain management (SCM) of chemical fertilizers is of great importance. In the present study, a mathematical model for sustainable chemical fertilizer SCM is presented. Taking into account the adverse environmental effects of the production and consumption of chemical fertilizers, the present study attempts to design a sustainable SCM concerning economic, environmental, and social factors. To solve the problem, a hybrid metaheuristic algorithm incorporating whale optimization and simulated annealing is used considering a multi-objective function. The simulation results obtained from a real case study of the chemical fertilizers supply chain network in Iran proved the effectiveness and applicability of the proposed model and solution method. Obtained results show the effectiveness of the proposed method compared with other algorithms with respect to economic, social, and environmental factors.