@article{ma_gao_zhang_zuo_2022, title={A New Nonparametric Filled Function Method for Integer Programming Problems with Constraints}, volume={10}, DOI={10.3390/math10050734}, abstractNote={In this paper, we investigate and develop a new filled function method for solving integer programming problems with constraints. By adopting the appropriate equivalent transformation method, these problems are transformed into a class of box-constrained integer programming problems. Then, an effective nonparametric filled function is constructed, and a new global optimization algorithm is designed using the discrete steepest descent method. Numerical experiments illustrate that this algorithm has effectiveness, feasibility, and better global optimization ability.}, publisher={MDPI AG}, author={Ma, Suxia and Gao, Yuelin and Zhang, Bo and Zuo, Wenlu}, year={2022}, month={Feb} }