Single and multi-objective optimization - a comparative analysis
Abstract
We compare the order relations used in single and in multi-objective optimization. The single objective optimization is based on a unique complete ordering. In multi-objective case there are infinite inequivalent partial orderings. The implications of these facts are analysed with examples. Some implications on Pareto techniques are also pointed out. A technique will be presented on the use of optimal frontier which synthesises it into a "compiled" guide to control the system successfully. Some applications as examples are presented like economic planning strategies etc.
Copyright © 2019 Z.S. Lipcsey, E.O. Effanga, C.A. Obikwere. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
Z. S. Lipcsey, E. O. Effanga, C. A. Obikwere, Single and multi-objective optimization - a comparative analysis, J. Math. Comput. Sci. 9 (2019), 1–18. https://doi.org/10.28919/jmcs/3794
BibTeX
@article{Lipcsey2019,
author = {Lipcsey, Z.S. and Effanga, E.O. and Obikwere, C.A.},
title = {Single and multi-objective optimization - a comparative analysis},
journal = {J. Math. Comput. Sci.},
volume = {9},
year = {2019},
pages = {1--18},
doi = {10.28919/jmcs/3794}
}