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Bi- and multi-objective location routing problems: classification and literature review

Author

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  • M. Tadaros

    (Luleå University of Technology)

  • A. Migdalas

    (Luleå University of Technology)

Abstract

The facility location problem and the vehicle routing problem are highly interdependent and critical parts of any efficient and cost-effective supply chain. The location of facilities heavily affects the design of distribution routes between the facilities and various demand nodes. Within locational analysis, the location-routing problem is a mathematical optimization problem that considers the underlying issues of vehicle routing and simultaneously optimizes the location of facilities and the design of distribution routes. Since, in real-life applications, it is common that decision-makers encounter more than one, often conflicting objectives, the problem can be stated in term of multi-objective optimization. This paper reviews 80 journal articles published in the field of bi- and multi-objective location-routing problems between 2014 and 2020. Included papers are classified based on several factors covering model assumptions and characteristics, objectives, solution approaches, and application area. For each application area, individual papers are presented and discussed. The paper concludes with remarks and suggestions for future research.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:operea:v:22:y:2022:i:5:d:10.1007_s12351-022-00734-w
    DOI: 10.1007/s12351-022-00734-w
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    1. Sobhgol Gholipour & Amir Ashoftehfard & Hassan Mina, 2020. "Green supply chain network design considering inventory-location-routing problem: a fuzzy solution approach," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 35(4), pages 436-452.
    2. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    3. Changshi Liu & Gang Kou & Yi Peng & Fawaz E. Alsaadi, 2019. "Location-Routing Problem for Relief Distribution in the Early Post-Earthquake Stage from the Perspective of Fairness," Sustainability, MDPI, vol. 11(12), pages 1-16, June.
    4. Feiyue Qiu & Guodao Zhang & Ping-Kuo Chen & Cheng Wang & Yi Pan & Xin Sheng & Dewei Kong, 2020. "A Novel Multi-Objective Model for the Cold Chain Logistics Considering Multiple Effects," Sustainability, MDPI, vol. 12(19), pages 1-28, September.
    5. Fatemeh Faraji & Behrouz Afshar-Nadjafi, 2018. "A bi-objective green location-routing model and solving problem using a hybrid metaheuristic algorithm," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 30(3), pages 366-385.
    6. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    7. Zhao, Jiahong & Ke, Ginger Y., 2017. "Incorporating inventory risks in location-routing models for explosive waste management," International Journal of Production Economics, Elsevier, vol. 193(C), pages 123-136.
    8. Govindan, K. & Jafarian, A. & Khodaverdi, R. & Devika, K., 2014. "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," International Journal of Production Economics, Elsevier, vol. 152(C), pages 9-28.
    9. Michael Schneider & Michael Drexl, 2017. "A survey of the standard location-routing problem," Annals of Operations Research, Springer, vol. 259(1), pages 389-414, December.
    10. Christian Prins & Caroline Prodhon & Angel Ruiz & Patrick Soriano & Roberto Wolfler Calvo, 2007. "Solving the Capacitated Location-Routing Problem by a Cooperative Lagrangean Relaxation-Granular Tabu Search Heuristic," Transportation Science, INFORMS, vol. 41(4), pages 470-483, November.
    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. Samanlioglu, Funda, 2013. "A multi-objective mathematical model for the industrial hazardous waste location-routing problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 332-340.
    13. 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, Elsevier, vol. 272(3), pages 945-961.
    14. Nikzamir, Mohammad & Baradaran, Vahid, 2020. "A healthcare logistic network considering stochastic emission of contamination: Bi-objective model and solution algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    15. Wang, Haijun & Du, Lijing & Ma, Shihua, 2014. "Multi-objective open location-routing model with split delivery for optimized relief distribution in post-earthquake," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 160-179.
    16. Salih Aka & Gökhan Akyüz, 2018. "Fuzzy goal programming approach on location-routing model for waste containers," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 29(4), pages 413-427.
    17. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2020. "Sustainable distribution system design: a two-phase DoE-guided meta-heuristic solution approach for a three-echelon bi-objective AHP-integrated location-routing model," Annals of Operations Research, Springer, vol. 290(1), pages 191-222, July.
    18. 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.
    19. Christian Burkart & Pamela C. Nolz & Walter J. Gutjahr, 2017. "Modelling beneficiaries’ choice in disaster relief logistics," Annals of Operations Research, Springer, vol. 256(1), pages 41-61, September.
    20. Jinhuan Tang & Shoufeng Ji & Liwen Jiang, 2016. "The Design of a Sustainable Location-Routing-Inventory Model Considering Consumer Environmental Behavior," Sustainability, MDPI, vol. 8(3), pages 1-20, February.
    21. 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.
    22. Cheng Chen & Rongzu Qiu & Xisheng Hu, 2018. "The Location-Routing Problem with Full Truckloads in Low-Carbon Supply Chain Network Designing," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-13, May.
    23. Keliang Chang & Hong Zhou & Guijing Chen & Huiqin Chen, 2017. "Multiobjective Location Routing Problem considering Uncertain Data after Disasters," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-7, March.
    24. Zhong, Shaopeng & Cheng, Rong & Jiang, Yu & Wang, Zhong & Larsen, Allan & Nielsen, Otto Anker, 2020. "Risk-averse optimization of disaster relief facility location and vehicle routing under stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    25. Ling Shen & Fengming Tao & Yuhe Shi & Ruiru Qin, 2019. "Optimization of Location-Routing Problem in Emergency Logistics Considering Carbon Emissions," IJERPH, MDPI, vol. 16(16), pages 1-18, August.
    26. Farahani, Reza Zanjirani & Rezapour, Shabnam & Drezner, Tammy & Fallah, Samira, 2014. "Competitive supply chain network design: An overview of classifications, models, solution techniques and applications," Omega, Elsevier, vol. 45(C), pages 92-118.
    27. 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.
    28. Lin, Rong-Ho, 2012. "An integrated model for supplier selection under a fuzzy situation," International Journal of Production Economics, Elsevier, vol. 138(1), pages 55-61.
    29. Tricoire, Fabien & Parragh, Sophie N., 2017. "Investing in logistics facilities today to reduce routing emissions tomorrow," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 56-67.
    30. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2021. "An evaluation of three DoE-guided meta-heuristic-based solution methods for a three-echelon sustainable distribution network," Annals of Operations Research, Springer, vol. 296(1), pages 421-469, January.
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