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Digital Library

of the European Council for Modelling and Simulation

 

Title:

A Hybrid Heuristic Based On Self-Organising Maps And Binary Linear Programming Techniques For The Capacitated P-Median Problem

Authors:

Mike Steglich

Published in:

 

 

(2019). ECMS 2019 Proceedings Edited by: Mauro Iacono, Francesco Palmieri, Marco Gribaudo, Massimo Ficco, European Council for Modeling and Simulation.

 

DOI: http://doi.org/10.7148/2019

 

ISSN: 2522-2422 (ONLINE)

ISSN: 2522-2414 (PRINT)

ISSN: 2522-2430 (CD-ROM)

 

33rd International ECMS Conference on Modelling and Simulation, Caserta, Italy, June 11th – June 14th, 2019

 

 

Citation format:

Mike Steglich (2019). A Hybrid Heuristic Based On Self-Organising Maps And Binary Linear Programming Techniques For The Capacitated P-Median Problem, ECMS 2019 Proceedings Edited by: Mauro Iacono, Francesco Palmieri, Marco Gribaudo, Massimo Ficco European Council for Modeling and Simulation. doi: 10.7148/2019-0267

DOI:

https://doi.org/10.7148/2019-0267

Abstract:

This paper proposes a new hybrid heuristic (SomAla) for the capacitated p-median problem (CPMP) which combines a self-organising map (SOM), integer linear programming, an alternating location-allocation algorithm (ALA) and a partial neighbourhood optimisation. To improve the per-formance of the algorithm, the structure of the CPMP is exploited for several size-reduction methods and also for variable-fixing techniques. The capability of this algorithm to find good solutions in reasonable times for large problem instances has been tested on several benchmark instances.

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