# Using Goal Programming on Estimated Pareto Fronts to Solve Multiobjective Problems

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

#### Abstract

Modern multiobjective algorithms can be computationally inefficient in producing good approximation sets for highly constrained many-objective problems. Such problems are common in real-world applications where decision-makers need to assess multiple conflicting objectives. Also, different instances of real-world problems often share similar fitness landscapes because key parts of the data are the same across these instances. We we propose a novel methodology that consists of 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 propose three goal-based objective functions and show that on a real-world home healthcare planning problem the methodology can produce improved results in a shorter computation time.

Download#### Paper Citation

#### in Harvard Style

Pinheiro R., Landa-Silva D., Laesanklang W. and Constantino A. (2018). **Using Goal Programming on Estimated Pareto Fronts to Solve Multiobjective Problems**.In *Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-285-1, pages 132-143. DOI: 10.5220/0006718901320143

#### in Bibtex Style

@conference{icores18,

author={Rodrigo Lankaites Pinheiro and Dario Landa-Silva and Wasakorn Laesanklang and Ademir Aparecido Constantino},

title={Using Goal Programming on Estimated Pareto Fronts to Solve Multiobjective Problems},

booktitle={Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2018},

pages={132-143},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006718901320143},

isbn={978-989-758-285-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Using Goal Programming on Estimated Pareto Fronts to Solve Multiobjective Problems

SN - 978-989-758-285-1

AU - Pinheiro R.

AU - Landa-Silva D.

AU - Laesanklang W.

AU - Constantino A.

PY - 2018

SP - 132

EP - 143

DO - 10.5220/0006718901320143