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International Workshop on Hybrid Metaheuristics

HM 2007: Hybrid Metaheuristics pp 123–139Cite as

Using Branch & Bound Concepts in Construction-Based Metaheuristics: Exploiting the Dual Problem Knowledge

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 4771)

Abstract

In recent years it has been shown by means of practical applications that the incorporation of branch & bound concepts within construction-based metaheuristics can be very useful. In this paper, we attempt to give an explanation of why this type of hybridization works. First, we introduce the concepts of primal and dual problem knowledge, and we show that metaheuristics only exploit the primal problem knowledge. In contrast, hybrid metaheuristic that include branch & bound concepts exploit both the primal and the dual problem knowledge. After giving a survey of these techniques, we conclude the paper with an application example that concerns the longest common subsequence problem.

Keywords

  • Search Tree
  • Target Node
  • Greedy Randomize Adaptive Search Procedure
  • Beam Search
  • Longe Common Subsequence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Christian Blum acknowledges support from the Spanish CICYT project OPLINK (grant TIN-2005-08818-C04-01), and from the Ramón y Cajal program of the Spanish Ministry of Science and Technology of which he is a research fellow. Monaldo Mastrolilli acknowledges support from the Swiss National Science Foundation project 200021-104017/1, Power Aware Computing, and by the Swiss National Science Foundation project 200021-100539/1, Approximation Algorithms for Machine scheduling Through Theory and Experiments.

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  • DOI: 10.1007/978-3-540-75514-2_10
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Author information

Authors and Affiliations

  1. ALBCOM research group, Universitat Politècnica de Catalunya, Barcelona, Spain

    Christian Blum

  2. IDSIA, Manno, Switzerland

    Monaldo Mastrolilli

Authors
  1. Christian Blum
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  2. Monaldo Mastrolilli
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    Blum, C., Mastrolilli, M. (2007). Using Branch & Bound Concepts in Construction-Based Metaheuristics: Exploiting the Dual Problem Knowledge. In: , et al. Hybrid Metaheuristics. HM 2007. Lecture Notes in Computer Science, vol 4771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75514-2_10

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    • DOI: https://doi.org/10.1007/978-3-540-75514-2_10

    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-75513-5

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