IDEAS home Printed from https://ideas.repec.org/a/spr/endesu/v25y2023i9d10.1007_s10668-022-02429-w.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10668-022-02429-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10668-022-02429-w?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ben Mohamed, Imen & Klibi, Walid & Sadykov, Ruslan & Şen, Halil & Vanderbeck, François, 2023. "The two-echelon stochastic multi-period capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 645-667.
    2. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2021. "Green vehicle routing problem: A state-of-the-art review," International Journal of Production Economics, Elsevier, vol. 231(C).
    3. Janjevic, Milena & Winkenbach, Matthias & Merchán, Daniel, 2019. "Integrating collection-and-delivery points in the strategic design of urban last-mile e-commerce distribution networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 37-67.
    4. Mohammad Asghari & Seyed Mohammad Javad Mirzapour Al-E-Hashem, 2021. "Green vehicle routing problem: A state-of-the-art review," Post-Print hal-03182944, HAL.
    5. Zhu, Stuart X. & Ursavas, Evrim, 2018. "Design and analysis of a satellite network with direct delivery in the pharmaceutical industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 190-207.
    6. Zhalechian, M. & Tavakkoli-Moghaddam, R. & Zahiri, B. & Mohammadi, M., 2016. "Sustainable design of a closed-loop location-routing-inventory supply chain network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 182-214.
    7. Dekker, Rommert & Bloemhof, Jacqueline & Mallidis, Ioannis, 2012. "Operations Research for green logistics – An overview of aspects, issues, contributions and challenges," European Journal of Operational Research, Elsevier, vol. 219(3), pages 671-679.
    8. Mohammadi, M. & Torabi, S.A. & Tavakkoli-Moghaddam, R., 2014. "Sustainable hub location under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 89-115.
    9. Amiri, Mohsen & Amin, Saman Hassanzadeh & Tavakkoli-Moghaddam, Reza, 2019. "A Lagrangean decomposition approach for a novel two-echelon node-based location-routing problem in an offshore oil and gas supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 96-114.
    10. Gläser, Sina, 2022. "A waste collection problem with service type option," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1216-1230.
    11. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
    12. Milovan Kovač & Snežana Tadić & Mladen Krstić & Miloš Veljović, 2023. "A Methodology for Planning City Logistics Concepts Based on City-Dry Port Micro-Consolidation Centres," Mathematics, MDPI, vol. 11(15), pages 1-21, July.
    13. 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.
    14. 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.
    15. Janjevic, Milena & Merchán, Daniel & Winkenbach, Matthias, 2021. "Designing multi-tier, multi-service-level, and multi-modal last-mile distribution networks for omni-channel operations," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1059-1077.
    16. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "The impact of depot location, fleet composition and routing on emissions in city logistics," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 81-102.
    17. Pourya Pourhejazy & Oh Kyoung Kwon, 2016. "The New Generation of Operations Research Methods in Supply Chain Optimization: A Review," Sustainability, MDPI, vol. 8(10), pages 1-23, October.
    18. M. Tadaros & A. Migdalas, 2022. "Bi- and multi-objective location routing problems: classification and literature review," Operational Research, Springer, vol. 22(5), pages 4641-4683, November.
    19. Lihua Liu & Lai Soon Lee & Hsin-Vonn Seow & Chuei Yee Chen, 2022. "Logistics Center Location-Inventory-Routing Problem Optimization: A Systematic Review Using PRISMA Method," Sustainability, MDPI, vol. 14(23), pages 1-39, November.
    20. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:endesu:v:25:y:2023:i:9:d:10.1007_s10668-022-02429-w. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.