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Green two-echelon closed and open location-routing problem: application of NSGA-II and MOGWO metaheuristic approaches

Author

Listed:
  • Ali Heidari

    (Iran University of Science and Technology)

  • Din Mohammad Imani

    (Iran University of Science and Technology)

  • Mohammad Khalilzadeh

    (CENTRUM Católica Graduate Business School
    Pontificia Universidad Católica del Perú)

  • Mahdieh Sarbazvatan

    (Iran University of Science and Technology)

Abstract

Nowadays organizations outsource transportation of goods or services to reduce cost which leads to a particular type of problem called open location-routing. Also, each logistic organization possesses a limited number of specific vehicles that may not be enough in certain circumstances. This issue indicates the importance of simultaneously considering both open and closed routs. On the other hand, the growing concerns about the detrimental environmental impacts of human activities reveal the necessity of paying attention to environmental issues in logistics. In this study, a bi-objective mathematical programming model is proposed for two-echelon close and open location-routing problem (2E-COLRP) including two echelons of factories, depots and customers to minimize costs and CO2 emissions. The proposed model finds the optimal routs, optimal number of vehicles and facilities as well as the locations of facilities. The augmented epsilon constraint method is used as an exact method to solve the small-sized problems. Due to complexity of model, two metaheuristic algorithms named MOGWO and NSGA-II are utilized to tackle the problems. The efficiency of two aforementioned algorithms is evaluated in terms of several indices considering 22 problem instances with various sizes. The results show that MOGWO performs better than NSGA-II.

Suggested Citation

  • Ali Heidari & Din Mohammad Imani & Mohammad Khalilzadeh & Mahdieh Sarbazvatan, 2023. "Green two-echelon closed and open location-routing problem: application of NSGA-II and MOGWO metaheuristic approaches," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(9), pages 9163-9199, September.
  • Handle: RePEc:spr:endesu:v:25:y:2023:i:9:d:10.1007_s10668-022-02429-w
    DOI: 10.1007/s10668-022-02429-w
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    1. J Bauer & T Bektaş & T G Crainic, 2010. "Minimizing greenhouse gas emissions in intermodal freight transport: an application to rail service design," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 530-542, March.
    2. Shiva Zandkarimkhani & Mohammad Mahdi Nasiri & Jafar Heydari, 2020. "Sustainable open-loop supply chain network design considering location routing problem: a hybrid approach based on FAHP, FTOPSIS, and mathematical programming," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 36(1), pages 92-123.
    3. Quanwu Zhao & Wei Wang & Robert De Souza, 2018. "A heterogeneous fleet two-echelon capacitated location-routing model for joint delivery arising in city logistics," International Journal of Production Research, Taylor & Francis Journals, vol. 56(15), pages 5062-5080, August.
    4. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    5. K Fagerholt & G Laporte & I Norstad, 2010. "Reducing fuel emissions by optimizing speed on shipping routes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 523-529, March.
    6. Salhi, Said & Rand, Graham K., 1989. "The effect of ignoring routes when locating depots," European Journal of Operational Research, Elsevier, vol. 39(2), pages 150-156, March.
    7. Abderrahman Abbassi & Said Kharraja & Ahmed El Hilali Alaoui & Jaouad Boukachour & Denis Paras, 2021. "Multi-objective two-echelon location-distribution of non-medical products," International Journal of Production Research, Taylor & Francis Journals, vol. 59(17), pages 5284-5300, September.
    8. Zhang, Bo & Li, Hui & Li, Shengguo & Peng, Jin, 2018. "Sustainable multi-depot emergency facilities location-routing problem with uncertain information," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 506-520.
    9. Younes Rahmani & Wahiba Ramdane Cherif-Khettaf & Ammar Oulamara, 2016. "The two-echelon multi-products location-routing problem with pickup and delivery: formulation and heuristic approaches," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 999-1019, February.
    10. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    11. W Maden & R Eglese & D Black, 2010. "Vehicle routing and scheduling with time-varying data: A case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 515-522, March.
    12. Yue Lu & Maoxiang Lang & Xueqiao Yu & Shiqi Li, 2019. "A Sustainable Multimodal Transport System: The Two-Echelon Location-Routing Problem with Consolidation in the Euro–China Expressway," Sustainability, MDPI, vol. 11(19), pages 1-25, October.
    13. Atefi, Reza & Salari, Majid & C. Coelho, Leandro & Renaud, Jacques, 2018. "The open vehicle routing problem with decoupling points," European Journal of Operational Research, Elsevier, vol. 265(1), pages 316-327.
    14. Darvish, Maryam & Archetti, Claudia & Coelho, Leandro C. & Speranza, M. Grazia, 2019. "Flexible two-echelon location routing problem," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1124-1136.
    15. Nguyen, Viet-Phuong & Prins, Christian & Prodhon, Caroline, 2012. "Solving the two-echelon location routing problem by a GRASP reinforced by a learning process and path relinking," European Journal of Operational Research, Elsevier, vol. 216(1), pages 113-126.
    16. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    17. N. Norouzi & R. Tavakkoli-Moghaddam & M. Ghazanfari & M. Alinaghian & A. Salamatbakhsh, 2012. "A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization," Networks and Spatial Economics, Springer, vol. 12(4), pages 609-633, December.
    18. Diabat, Ali & Al-Salem, Mohammed, 2015. "An integrated supply chain problem with environmental considerations," International Journal of Production Economics, Elsevier, vol. 164(C), pages 330-338.
    19. Hao Guo & Congdong Li & Ying Zhang & Chunnan Zhang & Yu Wang, 2018. "A Nonlinear Integer Programming Model for Integrated Location, Inventory, and Routing Decisions in a Closed-Loop Supply Chain," Complexity, Hindawi, vol. 2018, pages 1-17, July.
    20. Jenn-Rong Lin & Hsien-Chung Lei, 2009. "Distribution systems design with two-level routing considerations," Annals of Operations Research, Springer, vol. 172(1), pages 329-347, November.
    21. Zhen, Lu & Tan, Zheyi & Wang, Shuaian & Yi, Wen & Lyu, Junyan, 2021. "Shared mobility oriented open vehicle routing with order radius decision," Transportation Research Part A: Policy and Practice, Elsevier, vol. 144(C), pages 19-33.
    22. Fleszar, Krzysztof & Osman, Ibrahim H. & Hindi, Khalil S., 2009. "A variable neighbourhood search algorithm for the open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 803-809, June.
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