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A branch-and-Benders-cut algorithm for the Crew Scheduling and Routing Problem in road restoration

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  • Moreno, Alfredo
  • Munari, Pedro
  • Alem, Douglas

Abstract

Extreme events such as disasters cause partial or total disruption of basic services such as water, energy, communication and transportation. In particular, roads can be damaged or blocked by debris, thereby obstructing access to certain affected areas. Thus, restoration of the damaged roads is necessary to evacuate victims and distribute emergency commodities to relief centers or affected areas. The Crew Scheduling and Routing Problem (CSRP) addresses decisions in post-disaster situations with the aim of minimizing the time that affected areas remain inaccessible. The integration of crew scheduling and routing decisions makes this problem too complicated to be effectively solved for practical instances using mixed integer programming (MIP) formulations recently proposed in the literature. Therefore, we propose a branch-and-Benders-cut (BBC) algorithm that decomposes the integrated problem into a master problem (MP) with scheduling decisions and subproblems with routing decisions. Computational tests based on instances from the literature show that the proposed exact method improves the results of MIP formulations and other exact and metaheuristic methods proposed in literature. The BBC algorithm provides feasible solutions and optimality gaps for instances that thus far have not been possible to solve by exact methods in the literature.

Suggested Citation

  • Moreno, Alfredo & Munari, Pedro & Alem, Douglas, 2019. "A branch-and-Benders-cut algorithm for the Crew Scheduling and Routing Problem in road restoration," European Journal of Operational Research, Elsevier, vol. 275(1), pages 16-34.
    • Handle: RePEc:eee:ejores:v:275:y:2019:i:1:p:16-34
    DOI: 10.1016/j.ejor.2018.11.004
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    References listed on IDEAS

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    1. Akbari, Vahid & Salman, F. Sibel, 2017. "Multi-vehicle synchronized arc routing problem to restore post-disaster network connectivity," European Journal of Operational Research, Elsevier, vol. 257(2), pages 625-640.
    2. Gendron, Bernard & Scutellà, Maria Grazia & Garroppo, Rosario G. & Nencioni, Gianfranco & Tavanti, Luca, 2016. "A branch-and-Benders-cut method for nonlinear power design in green wireless local area networks," European Journal of Operational Research, Elsevier, vol. 255(1), pages 151-162.
    3. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    4. C. Hjorring & J. Holt, 1999. "New optimality cuts for a single‐vehicle stochastic routing problem," Annals of Operations Research, Springer, vol. 86(0), pages 569-584, January.
    5. G. Dantzig & R. Fulkerson & S. Johnson, 1954. "Solution of a Large-Scale Traveling-Salesman Problem," Operations Research, INFORMS, vol. 2(4), pages 393-410, November.
    6. Ching-Hui Tang & Shangyao Yan & Chia-Wei Chang, 2009. "Short-term work team scheduling models for effective road repair and management," Transportation Planning and Technology, Taylor & Francis Journals, vol. 32(3), pages 289-311, April.
    7. Tuzun Aksu, Dilek & Ozdamar, Linet, 2014. "A mathematical model for post-disaster road restoration: Enabling accessibility and evacuation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 56-67.
    8. Maya Duque, Pablo A. & Dolinskaya, Irina S. & Sörensen, Kenneth, 2016. "Network repair crew scheduling and routing for emergency relief distribution problem," European Journal of Operational Research, Elsevier, vol. 248(1), pages 272-285.
    9. Andie Pramudita & Eiichi Taniguchi, 2014. "Model of debris collection operation after disasters and its application in urban area," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 18(2), pages 218-243, July.
    10. Özdamar, Linet & Tüzün Aksu, Dilek & Ergüneş, Biket, 2014. "Coordinating debris cleanup operations in post disaster road networks," Socio-Economic Planning Sciences, Elsevier, vol. 48(4), pages 249-262.
    11. Fausto Errico & Teodor Gabriel Crainic & Federico Malucelli & Maddalena Nonato, 2017. "A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems," Transportation Science, INFORMS, vol. 51(2), pages 706-722, May.
    12. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    13. de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.
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    2. Senna, Fernando & Coelho, Leandro C. & Morabito, Reinaldo & Munari, Pedro, 2024. "An exact method for a last-mile delivery routing problem with multiple deliverymen," European Journal of Operational Research, Elsevier, vol. 317(2), pages 550-562.
    3. Sanci, Ece & Daskin, Mark S., 2019. "Integrating location and network restoration decisions in relief networks under uncertainty," European Journal of Operational Research, Elsevier, vol. 279(2), pages 335-350.
    4. Sakineh Lakzaei & Donya Rahmani & Babak Mohamadpour Tosarkani & Sepideh Nasiri, 2023. "Integrated optimal scheduling and routing of repair crew and relief vehicles after disaster: a novel hybrid solution approach," Annals of Operations Research, Springer, vol. 328(2), pages 1495-1522, September.
    5. 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.
    6. 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.
    7. 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).
    8. Zhang, Yuwei & Li, Zhenping & Zhao, Yuwei, 2023. "Multi-mitigation strategies in medical supplies for epidemic outbreaks," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    9. 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.
    10. Garay-Sianca, Aniela & Nurre Pinkley, Sarah G., 2021. "Interdependent integrated network design and scheduling problems with movement of machines," European Journal of Operational Research, Elsevier, vol. 289(1), pages 297-327.
    11. de Castro Pena, Guilherme & Santos, Andréa Cynthia & Prins, Christian, 2023. "Solving the integrated multi-period scheduling routing problem for cleaning debris in the aftermath of disasters," European Journal of Operational Research, Elsevier, vol. 306(1), pages 156-172.

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