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Polaroids: A new tool in non‐convex and in integer programming

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  • Claude‐Alain Burdet

Abstract

This paper presents a generalization, called polaroid, of the concept of polar sets A list of properties satisfied by polaroids is established indicating that the new concept nay be fruitfully used in an area of non‐convex (called here polar) programming as well as in integer programming, by means of polaroid cuts; this class of new cuts contains the ones defined by Tuy for concave programming (a special case of polar programming) and by Balas integer programming; it furthermore provides for new degrees of freedom in the construction of algorithms in the above‐mentioned areas of mathematical programming.

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  • Claude‐Alain Burdet, 1973. "Polaroids: A new tool in non‐convex and in integer programming," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(1), pages 13-24, March.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:1:p:13-24
    DOI: 10.1002/nav.3800200103
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    Cited by:

    1. Reiner Horst, 1990. "Deterministic methods in constrained global optimization: Some recent advances and new fields of application," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 433-471, August.

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