A Multiobjective Optimization Approach for Integrated Production Planning, Location-Allocation, and Routing in Three-Echelon Supply Chains

Document Type : Research Paper

Authors

1 B.Sc., Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran.

2 Assistant Professor, Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran.

3 M.Sc., Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran.

Abstract

The focus of many researchers in the operations research field has been on supply chain design problems during past decades. Previous works have widely investigated production-inventory planning, vehicle routing, and location-allocation problems. This paper aims to consider these problems simultaneously and present a new integrated production planning-location-routing problem for a three-echelon supply chain, considering several real-world assumptions. The studied supply chain includes multiple production centers, distribution centers, and customers. The distribution centers use a set of non-homogeneous vehicles to deliver the products to the customers. Several features, such as regular and overtime production, production reliability, time-window constraints, and capacity constraints, are incorporated to provide a more realistic problem. The bi-objective model aims to determine the optimal location, allocation, production, and routing decisions to optimize the total cost and servicing time objective functions. Concerning problem's complexity, the non-dominated sorting genetic algorithm-II (NSGA-II) is designed and implemented as a solution approach. The results reveal that this algorithm can solve the model in an acceptable time interval. In addition, the results demonstrate that the NSGA-II algorithm is reliable in finding solutions, and there is no significant difference between the average solution and the best solution of the algorithm in several runs.

Keywords

Main Subjects


Ala, A., Deveci, M., Amani Bani, E., & Sadeghi, A. H. (2024). Dynamic capacitated facility location problem in mobile renewable energy charging stations under sustainability consideration. Sustainable Computing: Informatics and Systems, 41, 100954.
Amani Bani, E., Fallahi, A., Varmazyar, M., & Fathi, M. (2022). Designing a sustainable reverse supply chain network for COVID-19 vaccine waste under uncertainty. Computers & Industrial Engineering, 174, 108808.
Amini, H., & Kianfar, K. (2022). A variable neighborhood search based algorithm and game theory models for green supply chain design. Applied Soft Computing, 119, 108615.
Asadkhani, J., Fallahi, A., & Mokhtari, H. (2022). A sustainable supply chain under VMI-CS agreement with withdrawal policies for imperfect items. Journal of Cleaner Production, 376, 134098.
Braekers, K., Ramaekers, K., & Van Nieuwenhuyse, I. (2016). The vehicle routing problem: State of the art classification and review. Computers & Industrial Engineering, 99, 300-313.
Cheraghalikhani, A., Khoshalhan, F., & Mokhtari, H. (2019). Aggregate production planning: A literature review and future research directions. International Journal of Industrial Engineering Computations, 10(2), 309-330.
Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002). A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE transactions on evolutionary computation, 6(2), 182-197.
Fallahi, A., Mousavian Anaraki, S. A., Mokhtari, H., & Niaki, S. T. A. (2024). Blood plasma supply chain planning to respond COVID-19 pandemic: a case study. Environment, Development and Sustainability, 26(1), 1965-2016.
Fallahi, A., Pourghazi, A., & Mokhtari, H. (2024). A Multi-product Humanitarian Supply Chain Network Design Problem: A Fuzzy Multi-objective and Robust Optimization Approach. International Journal of Engineering, 37(5), 941-958.
Farahani, R. Z., Rezapour, S., Drezner, T., & Fallah, S. (2014). Competitive supply chain network design: An overview of classifications, models, solution techniques and applications. Omega, 45, 92-118.
Fatemi Ghomi, S., Karimi, B., Behnamian, J., & Firoozbakht, J. (2021). A multi-objective particle swarm optimization based on pareto archive for integrated production and distribution planning in A Green supply chain. Applied Artificial Intelligence, 35(2), 133-153.
Fathollahi-Fard, A. M., Govindan, K., Hajiaghaei-Keshteli, M., & Ahmadi, A. (2019). A green home health care supply chain: New modified simulated annealing algorithms. Journal of Cleaner Production, 240, 118200.
Gendreau, M., Hertz, A., & Laporte, G. (1994). A tabu search heuristic for the vehicle routing problem. Management science, 40(10), 1276-1290.
Gourdin, É., Labbé, M., & Laporte, G. (2000). The uncapacitated facility location problem with client matching. Operations Research, 48(5), 671-685.
Heidari-Fathian, H., & Pasandideh, S. H. R. (2018). Green-blood supply chain network design: Robust optimization, bounded objective function & Lagrangian relaxation. Computers & Industrial Engineering, 122, 95-105.
Iranmanesh, H., & Kazemi, A. (2017). A bi-objective location inventory model for three-layer supply chain network design considering capacity planning. International Journal of Logistics Systems and Management, 26(1), 1-16.
Jaigirdar, S. M., Das, S., Chowdhury, A. R., Ahmed, S., & Chakrabortty, R. K. (2023). Multi-objective multi-echelon distribution planning for perishable goods supply chain: A case study. International Journal of Systems Science: Operations & Logistics, 10(1), 2020367.
Kochakkashani, F., Kayvanfar, V., & Haji, A. (2023). Supply chain planning of vaccine and pharmaceutical clusters under uncertainty: The case of COVID-19. Socio-economic planning sciences, 87, 101602.
Kuo, Y. (2013). Optimizing truck sequencing and truck dock assignment in a cross docking system. Expert Systems with Applications, 40(14), 5532-5541.
Laganà, D., Laporte, G., & Vocaturo, F. (2021). A dynamic multi-period general routing problem arising in postal service and parcel delivery systems. Computers & operations research, 129, 105195.
Mokhtari, H., Hasani, A., & Fallahi, A. (2021). Multi-product constrained economic production quantity models for imperfect quality items with rework. International Journal of Industrial Engineering & Production Research, 32 (2), 1-23.
Neiro, S. M., Madan, T., Pinto, J. M., & Maravelias, C. T. (2022). Integrated production and distribution planning for industrial gases supply chains. Computers & Chemical Engineering, 161, 107778.
Nikoubin, A., Mahnam, M., & Moslehi, G. (2023). A relax-and-fix Pareto-based algorithm for a bi-objective vaccine distribution network considering a mix-and-match strategy in pandemics. Applied Soft Computing, 132, 109862.
Pasandideh, S. H. R., Niaki, S. T. A., & Asadi, K. (2015). Bi-objective optimization of a multi-product multi-period three-echelon supply chain problem under uncertain environments: NSGA-II and NRGA. Information Sciences, 292, 57-74.
Pritsker, A. A. B., & O'Reilly, J. J. (1999). Simulation with visual SLAM and AweSim. John Wiley & Sons.
Sadeghi, S., & Niaki, S. T. A. (2024). An Analytical Decision-Making Model for Integrated Green Supply Chain Problems: A Computational Intelligence Solution. Journal of Cleaner Production, 142716.
Sarrafha, K., Rahmati, S. H. A., Niaki, S. T. A., & Zaretalab, A. (2015). A bi-objective integrated procurement, production, and distribution problem of a multi-echelon supply chain network design: A new tuned MOEA. Computers & operations research, 54, 35-51.
Srinivas, N., & Deb, K. (1994). Muiltiobjective optimization using nondominated sorting in genetic algorithms. Evolutionary computation, 2(3), 221-248.
Taft, E. (1918). The most economical production lot. Iron Age, 101(18), 1410-1412.
Taleizadeh, A. A., Naghavi-Alhoseiny, M.-S., Cárdenas-Barrón, L. E., & Amjadian, A. (2024). Optimization of price, lot size and backordered level in an EPQ inventory model with rework process. RAIRO-Operations Research, 58(1), 803-819.
Taleizadeh, A. A., Niaki, S. T. A., & Barzinpour, F. (2011). Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: a harmony search algorithm. Applied Mathematics and Computation, 217(22), 9234-9253.
Taleizadeh, A. A., Niaki, S. T. A., & Wee, H.-M. (2013). Joint single vendor–single buyer supply chain problem with stochastic demand and fuzzy lead-time. Knowledge-Based Systems, 48, 1-9.
Vidal, T., Crainic, T. G., Gendreau, M., Lahrichi, N., & Rei, W. (2012). A hybrid genetic algorithm for multidepot and periodic vehicle routing problems. Operations Research, 60(3), 611-624.