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    Formal models of heavy-tailed behavior in combinatorial search

    Chen, Hubie and Gomes, C.P. and Selman, B. (2001) Formal models of heavy-tailed behavior in combinatorial search. In: Walsh, T. (ed.) 7th International Conference: Principles and Practice of Constraint Programming. Lecture Notes in Computer Science 2239. Springer, pp. 408-421. ISBN 9783540428633.

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    Abstract

    Recently, it has been found that the cost distributions of randomized backtrack search in combinatorial domains are often heavytailed. Such heavy-tailed distributions explain the high variability observed when using backtrack-style procedures. A good understanding of this phenomenon can lead to better search techniques. For example, restart strategies provide a good mechanism for eliminating the heavytailed behavior and boosting the overall search performance. Several state-of-the-art SAT solvers now incorporate such restart mechanisms. The study of heavy-tailed phenomena in combinatorial search has so far been been largely based on empirical data. We introduce several abstract tree search models, and show formally how heavy-tailed cost distribution can arise in backtrack search. We also discuss how these insights may facilitate the development of better combinatorial search methods.

    Metadata

    Item Type: Book Section
    School: School of Business, Economics & Informatics > Computer Science and Information Systems
    Depositing User: Sarah Hall
    Date Deposited: 09 Mar 2021 17:48
    Last Modified: 09 Mar 2021 17:48
    URI: https://eprints.bbk.ac.uk/id/eprint/43363

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