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Incremental network design with shortest paths

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  • Baxter, Matthew
  • Elgindy, Tarek
  • Ernst, Andreas T.
  • Kalinowski, Thomas
  • Savelsbergh, Martin W.P.

Abstract

We introduce a class of incremental network design problems focused on investigating the optimal choice and timing of network expansions. We concentrate on an incremental network design problem with shortest paths. We investigate structural properties of optimal solutions, show that the simplest variant is NP-hard, analyze the worst-case performance of natural greedy heuristics, derive a 4-approximation algorithm, and conduct a small computational study.

Suggested Citation

  • Baxter, Matthew & Elgindy, Tarek & Ernst, Andreas T. & Kalinowski, Thomas & Savelsbergh, Martin W.P., 2014. "Incremental network design with shortest paths," European Journal of Operational Research, Elsevier, vol. 238(3), pages 675-684.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:3:p:675-684
    DOI: 10.1016/j.ejor.2014.04.018
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    Cited by:

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    3. Aybike Ulusan & Ozlem Ergun, 2018. "Restoration of services in disrupted infrastructure systems: A network science approach," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-28, February.
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    9. Tianyu Wang & Igor Averbakh, 2022. "Network construction/restoration problems: cycles and complexity," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 51-73, August.
    10. Averbakh, Igor & Pereira, Jordi, 2015. "Network construction problems with due dates," European Journal of Operational Research, Elsevier, vol. 244(3), pages 715-729.
    11. Chagas, Rosklin Juliano & Valle, Cristiano Arbex & da Cunha, Alexandre Salles, 2018. "Exact solution approaches for the Multi-period Degree Constrained Minimum Spanning Tree Problem," European Journal of Operational Research, Elsevier, vol. 271(1), pages 57-71.
    12. Garrett, Richard A. & Sharkey, Thomas C. & Grabowski, Martha & Wallace, William A., 2017. "Dynamic resource allocation to support oil spill response planning for energy exploration in the Arctic," European Journal of Operational Research, Elsevier, vol. 257(1), pages 272-286.
    13. Canbilen Sütiçen, Tuğçe & Batun, Sakine & Çelik, Melih, 2023. "Integrated reinforcement and repair of interdependent infrastructure networks under disaster-related uncertainties," European Journal of Operational Research, Elsevier, vol. 308(1), pages 369-384.
    14. Andreas Bärmann & Alexander Martin & Hanno Schülldorf, 2017. "A Decomposition Method for Multiperiod Railway Network Expansion—With a Case Study for Germany," Transportation Science, INFORMS, vol. 51(4), pages 1102-1121, November.
    15. Melih Çelik & Özlem Ergun & Pınar Keskinocak, 2015. "The Post-Disaster Debris Clearance Problem Under Incomplete Information," Operations Research, INFORMS, vol. 63(1), pages 65-85, February.
    16. Igor Averbakh & Jordi Pereira, 2018. "Lateness Minimization in Pairwise Connectivity Restoration Problems," INFORMS Journal on Computing, INFORMS, vol. 30(3), pages 522-538, August.
    17. Sayarshad, Hamid R. & Du, Xinpi & Gao, H. Oliver, 2020. "Dynamic post-disaster debris clearance problem with re-positioning of clearance equipment items under partially observable information," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 352-372.
    18. Sharkey, Thomas C. & Cavdaroglu, Burak & Nguyen, Huy & Holman, Jonathan & Mitchell, John E. & Wallace, William A., 2015. "Interdependent network restoration: On the value of information-sharing," European Journal of Operational Research, Elsevier, vol. 244(1), pages 309-321.
    19. 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.

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