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On Asymptotically Optimal Algorithm for One Modification of Planar 3-dimensional Assignment Problem

In: Operations Research Proceedings 2006

Author

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  • Yury Glazkov

    (Sobolev Institute of Mathematics SB RAS)

Abstract

In the paper the m-layer planar 3-dimensional assignment problem is considered. It is an NP-hard modification of well-known planar 3-dimensional assignment problem. Approximation algorithm, proposed by Gimadi and Korkishko is analysed. Its asymptotical optimality for a special class of random instances is proved.

Suggested Citation

  • Yury Glazkov, 2007. "On Asymptotically Optimal Algorithm for One Modification of Planar 3-dimensional Assignment Problem," Operations Research Proceedings, in: Karl-Heinz Waldmann & Ulrike M. Stocker (ed.), Operations Research Proceedings 2006, pages 175-179, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-69995-8_29
    DOI: 10.1007/978-3-540-69995-8_29
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    Cited by:

    1. Gimadi, Edward Kh., 2015. "Efficient algorithms with performance guarantees for some problems of finding several discrete disjoint subgraphs in complete weighted graph," Applied Mathematics and Computation, Elsevier, vol. 255(C), pages 84-91.

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