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An Efficient Application of Goal Programming to Tackle Multiobjective Problems with Recurring Fitness Landscapes

Pinheiro, Rodrigo Lankaites; Landa-Silva, Dario; Laesanklang, Wasakorn; Constantino, Ademir Aparecido

Authors

Rodrigo Lankaites Pinheiro rodrigo.pinheiro@webroster.com

Wasakorn Laesanklang

Ademir Aparecido Constantino



Abstract

Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many objective problems is often a difficult task even for modern multiobjective algorithms. In some cases, multiple instances of the problem scenario present similarities in their fitness landscapes. That is, there are recurring features in the fitness landscapes when searching for solutions to different problem instances. We propose a methodology to exploit this characteristic by solving one instance of a given problem scenario using computationally expensive multiobjective algorithms to obtain a good approximation set and then using Goal Programming with efficient single-objective algorithms to solve other instances of the same problem scenario. We use three goal-based objective functions and show that on benchmark instances of the multiobjective vehicle routing problem with time windows, the methodology is able to produce good results in short computation time. The methodology allows to combine the effectiveness of state-of-the-art multiobjective algorithms with the efficiency of goal programming to find good compromise solutions in problem scenarios where instances have similar fitness landscapes.

Publication Date Mar 15, 2019
Journal Communications in Computer and Information Science
Print ISSN 1865-0929
Electronic ISSN 1865-0929
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 986
Pages 134-152
Series Title Communications in Computer and Information Science
Series Number 966
Book Title Operations Research and Enterprise Systems
ISBN 9783030160340
APA6 Citation Pinheiro, R. L., Landa-Silva, D., Laesanklang, W., & Constantino, A. A. (2019). An Efficient Application of Goal Programming to Tackle Multiobjective Problems with Recurring Fitness Landscapes. In Operations Research and Enterprise Systems, 134-152. Springer Verlag. doi:10.1007/978-3-030-16035-7_8
DOI https://doi.org/10.1007/978-3-030-16035-7_8
Keywords Multi-criteria decision making; Goal programming; Pareto optimisation; Multiobjective vehicle routing
Publisher URL https://link.springer.com/chapter/10.1007/978-3-030-16035-7_8
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Pinheiro R.L., Landa-Silva D., Laesanklang W., Constantino A.A. (2019) An Efficient Application of Goal Programming to Tackle Multiobjective Problems with Recurring Fitness Landscapes. In: Parlier G., Liberatore F., Demange M. (eds) Operations Research and Enterprise Systems. ICORES 2018. Communications in Computer and Information Science, vol 966. Springer, ChamThe final publication is available at https://doi.org/10.1007/978-3-030-16035-7_8. Operations Research and Enterprise Systems. ICORES 2018