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Constructing a Small Compact Binary Model for the Travelling Salesman Problem

J. Fabian Meier (meier***at***itl.tu-dortmund.de)

Abstract: A variety of formulations for the Travelling Salesman Problem as Mixed Integer Program have been proposed. They contain either non-binary variables or the number of constraints and variables is large. We want to give a new formulation that consists solely of binary variables; the number of variables and the number of constraints are of order $O(n^2 \ln (n)^2)$.

Keywords: Mixed Integer Program, Landau function,Traveling Salesman Problem

Category 1: Integer Programming (0-1 Programming )

Category 2: Integer Programming ((Mixed) Integer Linear Programming )

Category 3: Applications -- OR and Management Sciences (Transportation )

Citation: Institute of Transport Logistics TU Dortmund 07/2015

Download: [PDF]

Entry Submitted: 07/21/2015
Entry Accepted: 07/21/2015
Entry Last Modified: 08/08/2015

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