A study of interval optimization problems
- 52 Downloads
We study optimization problems with interval objective functions. We focus on set-type solution notions defined using the Kulisch–Miranker order between intervals. We obtain bounds for the asymptotic cones of level, colevel and solution sets that allow us to deduce coercivity properties and coercive existence results. Finally, we obtain various noncoercive existence results. Our results are easy to check since they are given in terms of the asymptotic cone of the constraint set and the asymptotic functions of the end point functions. This work extends, unifies and sheds new light on the theory of these problems.
KeywordsAsymptotic cones Asymptotic functions Coercivity properties Coercive and noncoercive existence results Set-type solutions Interval optimization problems
The authors want to express their gratitude to the editor and referees for their criticism and suggestions that helped to improve the paper. This work was supported by Universidad de Tarapacá [project UTA-Mayor 4731-13] (Vásquez) and Conicyt-Gobierno de Chile [project Fondecyt 1181368] (López).
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
- 17.Kumar, P., Dutta, D.: An interval-valued linear fractional programming approach to a constant demand inventory model without shortages. In: Proceeding of International Conference on Advance Trends in Engineering and Technology (2014)Google Scholar