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Matrices with lexicographically-ordered rows

Gustavo Angulo (gangulo***at***ing.puc.cl)

Abstract: The lexicographic order can be used to force a collection of decision vectors to be all different, i.e., to take on different values in some coordinates. We consider the set of fixed-size matrices with bounded integer entries and rows in lexicographic order. We present a dynamic program to optimize a linear function over this set, from which we obtain a compact extended formulation for its convex hull.

Keywords: Lexicographic order; Extended formulation; Dynamic programming

Category 1: Integer Programming ((Mixed) Integer Linear Programming )

Citation: Department of Industrial and Systems Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile

Download: [PDF]

Entry Submitted: 12/22/2017
Entry Accepted: 12/22/2017
Entry Last Modified: 09/06/2018

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