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

Claude‐Alain Burdet · Naval Research Logistics Quarterly · 1973

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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