Scandinavian Working Papers in Economics

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

No 2015/1: A new Semi-Lagrangean Relaxation for the p-median problem

Alex Butsch (), Kurt Jörnsten () and Jörg Kalcsics ()
Additional contact information
Alex Butsch: Institute for Operations Research, Karlsruhe Institute of Technology, Postal: Karlsruhe Institute of Technology, Institute for Operations Research, Englerstr. 11, Gebäude 11.40, 2. OG, D-76128 Karlsruhe, Germany
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 for Operations Research, Karlsruhe Institute of Technology, Postal: Karlsruhe Institute of Technology, Institute for Operations Research, Englerstr. 11, Gebäude 11.40, 2. OG, D-76128 Karlsruhe, Germany

Abstract: Recently Beltran-Royo et.al presented a Semi-Lagrangean relaxation for the classical p-median location problem. The results obtained using the Semi-Lagrangean relaxation approach were quite impressive. In this paper we use a reformulation of the p-median problem in order to start from a formulation more suitable for Semi-Lagrangean relaxation and analyse the new approach on examples from the OR library.

Keywords: p-median Location; Lagrangean Relaxation; Mathematical Programming

JEL-codes: C60

13 pages, January 9, 2015

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