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Two Generic Schemes for Efficient and Robust Cooperative Algorithms

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Constraint and Integer Programming

Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 27))

Abstract

Many examples of hybrid algorithms have been described in the recent optimization literature and shown to provide better results than pure algorithms based on only one technology. Yet, it is difficult to understand what makes a cooperative strategy work, hence it is difficult to design a good cooperative strategy. In this paper, we try to convey our understanding of the performance of hybrid algorithms with respect to two criteria: efficiency and robustness. We first present the strengths and weaknesses of each possible component of hybrid algorithms: polynomial operations research algorithms, constraint programming, mixed integer programming, and local search. We then give an overview of hybrid algorithms, looking at each of the six possible combinations of two of the techniques enumerated above. We try to abstract from hybrid examples the two following generic cooperative schemes. The decomposition scheme consists in applying one technique to a sub-problem in order to gain information that is then used by another technique to solve the overall problem. The multiple search scheme combines several techniques that solve in turn or in parallel the full problem and exchange information which allows for better diversification and intensification.

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Danna, E., Pape, C.L. (2004). Two Generic Schemes for Efficient and Robust Cooperative Algorithms. In: Milano, M. (eds) Constraint and Integer Programming. Operations Research/Computer Science Interfaces Series, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8917-8_2

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  • DOI: https://doi.org/10.1007/978-1-4419-8917-8_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4719-4

  • Online ISBN: 978-1-4419-8917-8

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