A continuous representation and chaos theory based algorithm for solving Facility Layout Problem

Shunichi Ohmori, Kazuho Yoshimoto, Kenshu Ogawa

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Citations (Scopus)

    Abstract

    This paper proposes the algorithm for solving Facility Layout Problem (FLP), which is the problem of discovering the best locations of departments within the facility in order to maximize its efficiency. In FLP research, there are two choices of representation of layout candidates: discrete-representation and continuous-representation. In recent years, the continuous-representation has become the representation of choice, as it can consider all feasible solutions. Most of continuous-representation-based methods are based on Mixed-Integer-Programming (MIP) or Non Linear Programming (NLP). However, MIP-based-approach has weak searching capability in large-scale problem due to the large number of combinations of the binary variables used in the models to maintain feasibility with respect to departments overlapping. Further, NLP-based-approach has possibility to miss the searching opportunity for the optimal solution, as it can only seek one of local solutions. In order to overcome these difficulties, this paper proposes the chaos-theory-based algorithm that controls the intensification and diversification of searching capability. In numerical experiments, different sized problems from both the literature and industrial applications are tested and the solutions are compared with the solutions from other methods to show the effectiveness of the proposed algorithm.

    Original languageEnglish
    Title of host publication21st International Conference on Production Research: Innovation in Product and Production, ICPR 2011 - Conference Proceedings
    PublisherFraunhofer-Verlag
    ISBN (Print)9783839602935
    Publication statusPublished - 2011
    Event21st International Conference on Production Research: Innovation in Product and Production, ICPR 2011 - Stuttgart
    Duration: 2011 Jul 312011 Aug 4

    Other

    Other21st International Conference on Production Research: Innovation in Product and Production, ICPR 2011
    CityStuttgart
    Period11/7/3111/8/4

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    Keywords

    • Chaos-theory
    • Facility Layout Problem
    • Facility planning
    • Material handling
    • Meta-heuristics

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Computer Science Applications
    • Industrial and Manufacturing Engineering

    Cite this

    Ohmori, S., Yoshimoto, K., & Ogawa, K. (2011). A continuous representation and chaos theory based algorithm for solving Facility Layout Problem. In 21st International Conference on Production Research: Innovation in Product and Production, ICPR 2011 - Conference Proceedings Fraunhofer-Verlag.