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Speeding up neighborhood search for the tool indexing problem

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  • Ghosh, Diptesh

Abstract

The arrangement of tools in tool holding pockets of a tool magazine in a CNC machining center plays an important role in reducing processing times of complex job processes in automated machining environments. This problem is called the ATC indexing problem (ATCIP). Computing the cost of a solution for an ATCIP instance of size $n$ requires $\mathcal{O}(n^2)$ time, so that neighborhood search iteration for the ATCIP on an $\mathcal{O}(n^2)$ neighborhood requires $\mathcal{O}(n^4)$ time. We describe techniques to reduce this effort for two common neighborhood structures from $\mathcal{O}(n^4)$ time to $\mathcal{O}(n^2)$ time.

Suggested Citation

  • Ghosh, Diptesh, 2016. "Speeding up neighborhood search for the tool indexing problem," IIMA Working Papers WP2016-09-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:14551
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    References listed on IDEAS

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    1. Ann E. Gray & Abraham Seidmann & Kathryn E. Stecke, 1993. "A Synthesis of Decision Models for Tool Management in Automated Manufacturing," Management Science, INFORMS, vol. 39(5), pages 549-567, May.
    2. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    3. Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
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