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Variable Neighborhood Search

In: Search Methodologies

Author

Listed:
  • Pierre Hansen

    (GERAD and HEC Montreal)

  • Nenad Mladenović

    (School of Mathematics, Brunel University)

Abstract

Variable neighborhood search (VNS) is a metaheuristic, or framework for building heuristics, which exploits systematically the idea of neighborhood change, both in the descent to local minima and in the escape from the valleys which contain them. In this tutorial we first present the ingredients of VNS, i.e. variable neighborhood descent (VND) and Reduced VNS (RVNS) followed by the basic and then the general scheme of VNS itself which contain both of them. Extensions are presented, in particular Skewed VNS which enhances exploration of far away valleys andvariable neighborhood decomposition search (VNDS), a two-level scheme for solution of large instances of various problems. In each case, we present the scheme, some illustrative examples and questions to be addressed in order to obtain an efficient implementation.

Suggested Citation

  • Pierre Hansen & Nenad Mladenović, 2014. "Variable Neighborhood Search," Springer Books, in: Edmund K. Burke & Graham Kendall (ed.), Search Methodologies, edition 2, chapter 0, pages 313-337, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4614-6940-7_12
    DOI: 10.1007/978-1-4614-6940-7_12
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    Cited by:

    1. Zhouxing Su & Zhipeng Lü & Zhuo Wang & Yanmin Qi & Una Benlic, 2020. "A Matheuristic Algorithm for the Inventory Routing Problem," Transportation Science, INFORMS, vol. 54(2), pages 330-354, March.
    2. Leandro do C. Martins & Rafael D. Tordecilla & Juliana Castaneda & Angel A. Juan & Javier Faulin, 2021. "Electric Vehicle Routing, Arc Routing, and Team Orienteering Problems in Sustainable Transportation," Energies, MDPI, vol. 14(16), pages 1-30, August.
    3. Herrán, Alberto & Manuel Colmenar, J. & Duarte, Abraham, 2021. "An efficient variable neighborhood search for the Space-Free Multi-Row Facility Layout problem," European Journal of Operational Research, Elsevier, vol. 295(3), pages 893-907.
    4. Masoud Chitsaz & Jean-François Cordeau & Raf Jans, 2019. "A Unified Decomposition Matheuristic for Assembly, Production, and Inventory Routing," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 134-152, February.

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