Multi-objective mathematical programming subject to box boundary constraints on system parameters

• Published in: Computational ecology and software Vol. 14; no. 3; pp. 186 - 204
• Main Author: Khoder, H
• Format: Journal Article
• Language: English
• Published: Hong Kong International Academy of Ecology and Environmental Sciences (IAEES) 01.09.2024; International Academy of Ecology and Environmental Sciences
• Subjects: Algorithms; Automation; CAD; Classification; Complex systems; Computer aided design; Constraints; Criteria; Decision making; Design parameters; Ecology; flexible complex systems; fuzzy logic; Interactive systems; Mathematical analysis; Mathematical functions; Mathematical models; Mathematical programming; multi-criteria decision-making; multi-criteria optimization; multi-objective programming; Multiple objective analysis; Optimization; Parameter identification; parametric modeling; ranking and classification methods; Software
• ISSN: 2220-721X

Multi-objective mathematical programming subject to box constraints on system parameters is an important problem in the fields of computer-aided design and decision-making theory, when there is an apparent conflict between multiple preference criteria. In this work, mathematical programming methodology has been proposed using a modern algorithm to solve multi-objective mathematical problems. The proposed algorithm to perform the ranking and classification procedures for the set of alternative solutions with boundary constraints is based on the concepts of parametric multi-aspect modeling of flexible complex systems. Interactive software has been implemented in the .Net environment to aid the decision-maker to identify the preference criteria and constraints on the system parameters, and then to choose the best solution from the morphological set depending on the developed algorithm. In addition, an illustrative numerical example solved by the proposed algorithm is presented at the end of this work.