Scandinavian Working Papers in Economics

Discussion Papers,
Norwegian School of Economics, Department of Business and Management Science

No 2015/4: A new Lagrangean Approach for the Travelling Salesman Problem

Kurt Jörnsten () and Jörg Kalcsics ()
Additional contact information
Kurt Jörnsten: Dept. of Business and Management Science, Norwegian School of Economics, Postal: NHH , Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
Jörg Kalcsics: Institute of Operations Research, Karlsruhe Institute of Technology, Postal: Karlsruhe Institute of Technology, Institute of Operations Research, Englerstr. 11, Gebäude 11.40, 2. OG, D-76128 Karlsruhe, Germany

Abstract: In this paper, we use a reformulation of the symmetric and the asymmetric travelling salesman problem more suitable for Lagrangean relaxation and analyse the new approach on examples from TSP Lib. Furthermore the Lagrangean relaxed subproblems are travelling salesman alike which means that almost all that is known on the travelling salesman polytope can be used when the subproblems are to be solved.

Keywords: Travelling Salesman; Lagrangean Relaxation; Mathematical Programming

JEL-codes: C60

11 pages, January 19, 2015

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