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Two-level network design with intermediate facilities: An application to electrical distribution systems

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  • Costa, Alysson M.
  • França, Paulo M.
  • Lyra Filho, Christiano

Abstract

We consider the two-level network design problem with intermediate facilities. This problem consists of designing a minimum cost network respecting some requirements, usually described in terms of the network topology or in terms of a desired flow of commodities between source and destination vertices. Each selected link must receive one of two types of edge facilities and the connection of different edge facilities requires a costly and capacitated vertex facility. We propose a hybrid decomposition approach which heuristically obtains tentative solutions for the vertex facilities number and location and use these solutions to limit the computational burden of a branch-and-cut algorithm. We test our method on instances of the power system secondary distribution network design problem. The results show that the method is efficient both in terms of solution quality and computational times.

Suggested Citation

  • Costa, Alysson M. & França, Paulo M. & Lyra Filho, Christiano, 2011. "Two-level network design with intermediate facilities: An application to electrical distribution systems," Omega, Elsevier, vol. 39(1), pages 3-13, January.
    • Handle: RePEc:eee:jomega:v:39:y:2011:i:1:p:3-13
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    1. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "Modeling and Heuristic Worst-Case Performance Analysis of the Two-Level Network Design Problem," Management Science, INFORMS, vol. 40(7), pages 846-867, July.
    2. Raymond A. Patterson & Erik Rolland, 2002. "Hybrid Fiber Coaxial Network Design," Operations Research, INFORMS, vol. 50(3), pages 538-551, June.
    3. Srivastava, Samir K., 2008. "Network design for reverse logistics," Omega, Elsevier, vol. 36(4), pages 535-548, August.
    4. Gupta, Rakesh & Pirkul, Hasan, 2000. "Hybrid fiber co-axial CATV network design with variable capacity optical network units," European Journal of Operational Research, Elsevier, vol. 123(1), pages 73-85, May.
    5. Gouveia, Luis & Janssen, Eric, 1998. "Designing reliable tree networks with two cable technologies," European Journal of Operational Research, Elsevier, vol. 105(3), pages 552-568, March.
    6. Paolo Toth & Daniele Vigo, 2003. "The Granular Tabu Search and Its Application to the Vehicle-Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(4), pages 333-346, November.
    7. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    8. Anne de Jongh & Michel Gendreau & Martine Labbé, 1999. "Finding Disjoint Routes in Telecommunications Networks with Two Technologies," Operations Research, INFORMS, vol. 47(1), pages 81-92, February.
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    14. Eduardo Álvarez-Miranda & Ivana Ljubić & S. Raghavan & Paolo Toth, 2015. "The Recoverable Robust Two-Level Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 1-19, February.
    15. Alumur, Sibel A. & Kara, Bahar Y. & Karasan, Oya E., 2012. "Multimodal hub location and hub network design," Omega, Elsevier, vol. 40(6), pages 927-939.
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    17. Yazar, Başak & Arslan, Okan & Karaşan, Oya Ekin & Kara, Bahar Y., 2016. "Fiber optical network design problems: A case for Turkey," Omega, Elsevier, vol. 63(C), pages 23-40.
    18. Salman Khodayifar & Mohammad A. Raayatpanah & Abbas Rabiee & Hamed Rahimian & Panos M. Pardalos, 2018. "Optimal Long-Term Distributed Generation Planning and Reconfiguration of Distribution Systems: An Accelerating Benders’ Decomposition Approach," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 283-310, October.
    19. Vizcaino González, José Federico & Lyra, Christiano & Usberti, Fábio Luiz, 2012. "A pseudo-polynomial algorithm for optimal capacitor placement on electric power distribution networks," European Journal of Operational Research, Elsevier, vol. 222(1), pages 149-156.
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