# Performance Metrics Based on Data Envelopment Analysis for Evaluating Multi-Objective Linear Programming Solution Methods

### Javier Gómez-Lagos, Marcela González-Araya, Luis G. Acosta Espejo

#### 2023

#### Abstract

Three performance metrics based on data envelopment models are proposed for evaluating MOLP solution methods. Every proposed metric is associated to a one category, being these categories the cardinality, accuracy, and diversity. In addition, the proposed metrics are classified as unary or binary. The cardinality and accuracy metrics are estimated using a DEA model based on the slack based measure model, while the diversity metric is calculated using the super-efficiency DEA model. The proposed metrics were applied to compare two sets of solutions obtained by two strategies of a MO-GRASP algorithm for solving a MOLP tactical harvest planning model. The results show that the metrics allow discrimination between the algorithms and, moreover, to select a suitable algorithm for a MOLP model.

Download#### Paper Citation

#### in Harvard Style

Gómez-Lagos J., González-Araya M. and G. Acosta Espejo L. (2023). **Performance Metrics Based on Data Envelopment Analysis for Evaluating Multi-Objective Linear Programming Solution Methods**. In *Proceedings of the 12th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-627-9, pages 151-157. DOI: 10.5220/0011660200003396

#### in Bibtex Style

@conference{icores23,

author={Javier Gómez-Lagos and Marcela González-Araya and Luis G. Acosta Espejo},

title={Performance Metrics Based on Data Envelopment Analysis for Evaluating Multi-Objective Linear Programming Solution Methods},

booktitle={Proceedings of the 12th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2023},

pages={151-157},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0011660200003396},

isbn={978-989-758-627-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Performance Metrics Based on Data Envelopment Analysis for Evaluating Multi-Objective Linear Programming Solution Methods

SN - 978-989-758-627-9

AU - Gómez-Lagos J.

AU - González-Araya M.

AU - G. Acosta Espejo L.

PY - 2023

SP - 151

EP - 157

DO - 10.5220/0011660200003396