Optimization Online


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

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society