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Arc routing problems to restore connectivity of a road network

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  • Kasaei, Maziar
  • Salman, F. Sibel

Abstract

After a disaster, restoring accessibility in the affected area is critical for response operations. We study two arc routing problems for clearing blocked roads. The first problem minimizes the time to reconnect the road network, while the second maximizes the total benefit gained by reconnecting network components within a time limit. For each problem, we develop a mixed integer programming formulation and two versions of a heuristic algorithm. We conduct computational experiments on Istanbul data and instances adapted from the literature. The heuristics achieve near-optimal or optimal solutions quickly in most of the tested instances.

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  • Kasaei, Maziar & Salman, F. Sibel, 2016. "Arc routing problems to restore connectivity of a road network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 177-206.
    • Handle: RePEc:eee:transe:v:95:y:2016:i:c:p:177-206
    DOI: 10.1016/j.tre.2016.09.012
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    3. Akbari, Vahid & Shiri, Davood & Sibel Salman, F., 2021. "An online optimization approach to post-disaster road restoration," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 1-25.
    4. Zhou, Yaoming & Wang, Junwei & Sheu, Jiuh-Biing, 2019. "On connectivity of post-earthquake road networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 1-16.
    5. Yichen Lu & Chao Yang & Jun Yang, 2022. "A multi-objective humanitarian pickup and delivery vehicle routing problem with drones," Annals of Operations Research, Springer, vol. 319(1), pages 291-353, December.
    6. Farzaneh, Mohammad Amin & Rezapour, Shabnam & Baghaian, Atefe & Amini, M. Hadi, 2023. "An integrative framework for coordination of damage assessment, road restoration, and relief distribution in disasters," Omega, Elsevier, vol. 115(C).
    7. Xu, Min & Ouyang, Min & Hong, Liu & Mao, Zijun & Xu, Xiaolin, 2022. "Resilience-driven repair sequencing decision under uncertainty for critical infrastructure systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    8. Shuanglin Li & Kok Lay Teo, 2019. "Post-disaster multi-period road network repair: work scheduling and relief logistics optimization," Annals of Operations Research, Springer, vol. 283(1), pages 1345-1385, December.
    9. Juliette García-Alviz & Gina Galindo & Julián Arellana & Ruben Yie-Pinedo, 2021. "Planning road network restoration and relief distribution under heterogeneous road disruptions," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 941-981, December.
    10. Akbari, Vahid & Shiri, Davood, 2021. "Weighted online minimum latency problem with edge uncertainty," European Journal of Operational Research, Elsevier, vol. 295(1), pages 51-65.
    11. Chen, Daqiang & Sun, Danzhi & Yin, Yunqiang & Dhamotharan, Lalitha & Kumar, Ajay & Guo, Yihan, 2022. "The resilience of logistics network against node failures," International Journal of Production Economics, Elsevier, vol. 244(C).
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    13. Yu, Mingzhu & Jin, Xin & Zhang, Zizhen & Qin, Hu & Lai, Qidong, 2019. "The split-delivery mixed capacitated arc-routing problem: Applications and a forest-based tabu search approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 141-162.
    14. Ajam, Meraj & Akbari, Vahid & Salman, F. Sibel, 2022. "Routing multiple work teams to minimize latency in post-disaster road network restoration," European Journal of Operational Research, Elsevier, vol. 300(1), pages 237-254.
    15. Alkhaleel, Basem A. & Liao, Haitao & Sullivan, Kelly M., 2022. "Risk and resilience-based optimal post-disruption restoration for critical infrastructures under uncertainty," European Journal of Operational Research, Elsevier, vol. 296(1), pages 174-202.
    16. Moreno, Alfredo & Alem, Douglas & Gendreau, Michel & Munari, Pedro, 2020. "The heterogeneous multicrew scheduling and routing problem in road restoration," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 24-58.
    17. Souza Almeida, Luana & Goerlandt, Floris & Pelot, Ronald, 2022. "Trends and gaps in the literature of road network repair and restoration in the context of disaster response operations," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    18. Ajam, Meraj & Akbari, Vahid & Salman, F. Sibel, 2019. "Minimizing latency in post-disaster road clearance operations," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1098-1112.

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