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Improving efficiency of a multistart with interrupted hooke-and-jeeves filter search for solving MINLP problems

Publication . Fernandes, Florbela P.; Costa, M. Fernanda P.; Rocha, Ana Maria A.C.; Fernandes, Edite M.G.P.

This paper addresses the problem of solving mixed-integer nonlinear programming (MINLP) problems by a multistart strategy that invokes a derivative-free local search procedure based on a filter set methodology to handle nonlinear constraints. A new concept of componentwise normalized distance aiming to discard randomly generated points that are sufficiently close to other points already used to invoke the local search is analyzed. A variant of the Hooke-and-Jeeves filter algorithm for MINLP is proposed with the goal of interrupting the iterative process if the accepted iterate falls inside an ϵ-neighborhood of an already computed minimizer. Preliminary numerical results are included.

2016Conference paper

Open access

Relationship Between Quality of Life, Level of Physical Activity, Physical Fitness, and Body Composition on the Academic Performance of High School Students in an Integrated Educational System

Publication . Gazolla, Jeann C.; Ferreira-Júnior, João; Encarnação, Samuel; Schneider, André; Monteiro, António M.; Teixeira, José Eduardo; Forte, Pedro; Oliveira, João P.; Borba, Diego; Costa, Carlos Manuel Azevedo; Vieira, Carlos A.

Adolescence is a critical period for the development of physical and cognitive health. Understanding how lifestyle and physical health parameters relate to academic performance and quality of life may inform school-based interventions. Purpose: This study aimed to evaluate the relationship between physical activity level (PAL), quality of life (QoL), physical fitness (PF), strength, speed and agility, body composition, and academic performance (AP) in high school students. Research Design: A cross-sectional, correlational study using multiple linear regression models to assess predictive relationships. Study Sample: 365 students (aged 16.93 ± 0.94 years) participated in the study. Data Collection and Analysis: Evaluations included Body Mass Index (BMI); PAL; QoL; PF (handgrip strength, countermovement vertical jump, and agility); and AP. A multiple linear regression was conducted using AP as the dependent variable, with BMI, jump performance, agility, handgrip strength, and PAL scores as predictors. Five additional multiple linear regressions were performed, each with a QoL domain as the dependent variable, and the same set of predictors as in the AP model. Participants’ age and sex were included as covariates in all models. Results: Significant predictive capacity was observed for AP (F = 2.22, p = .028, R = 0.31, R2 = 0.093) and two QoL domains: physical health (F = 2.32, p = .021, R = 0.28, R2 = 0.079) and psychological health (F = 2.32 and p = .021, R = 0.28, R2 = 0.079); however, with weak correlation coefficients (0.2 ≤ R <0.4). Only jump performance and age significantly affected the AP model (β = 0.038, p = .014) and the psychological health domain model (β = 0.48, p = .018). Conclusions: The predictors explained 9.3% of the variance in AP and 7.9% of the variance in physical health and psychological health in QoL domains, suggesting that additional factors (e.g., socioeconomic status, dietary habits) may play a role. The findings highlight the importance of multifactorial approaches in future research.

2025Journal article

Open access