Multibundle Method for Constrained Nonsmooth Multiobjective DC Optimization

Tietueen suppeat tiedot
dc.contributor.authorJoki, Kaisa
dc.contributor.authorMontonen, Outi
dc.contributor.organizationfi=sovellettu matematiikka|en=Applied mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.48078768388
dc.contributor.organization-code2606102
dc.converis.publication-id515822479
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/515822479
dc.date.accessioned2026-04-24T17:38:33Z
dc.description.abstractIn this paper, we MultibundleOptimizationpropose a multibundleMultibundle method. The new method is of the descent type and it is designedDesign for constrained nonsmooth multiobjective optimizationOptimization problemsProblem whose objectives and constraints can be represented as a difference of convex (DC) functionsFunction. The method combines pieces from the multiple subgradientGradient descent bundle method [49], the double bundle method [26], and the multiobjective double bundle method [47]. The idea is to find descent directions for every individual objective by using a single-objective bundle method designedDesign for DC functionsFunction, and then, form a common descent direction. The novelty in our approach is that the decision maker has an option to steer the solutionSolution process by indicating whether an individual descent direction should be used to improve one objective or should the method test the optimality. Furthermore, we present two alternative constraint handling strategies. The multibundle method is proven to have a finite convergenceConvergence to an approximate weakly Pareto stationary solutionSolution under mild assumptions. Finally, the new method is compared with a multiobjective DC method as well as a multiobjective nonconvex method to demonstrate the numericalNumerical capability of the proposed method. In addition, the constraint handling strategies are compared and some interactive examples are given.
dc.embargo.lift2027-01-29
dc.format.pagerange73
dc.format.pagerange39
dc.identifier.eisbn978-3-031-98675-8
dc.identifier.isbn978-3-031-98674-1
dc.identifier.issn1871-3033
dc.identifier.urihttps://www.utupub.fi/handle/11111/59033
dc.identifier.urlhttps://doi.org/10.1007/978-3-031-98675-8_6
dc.identifier.urnURN:NBN:fi-fe2026042333008
dc.language.isoen
dc.okm.affiliatedauthorJoki, Kaisa
dc.okm.affiliatedauthorMontonen, Outi
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA3 Book
dc.publisherSpringer
dc.publisher.countrySwitzerlanden_GB
dc.publisher.countrySveitsifi_FI
dc.publisher.country-codeCH
dc.publisher.isbn978-81-322;978-3-540;978-3-642;978-3-662;978-3-7908;978-3-8274;978-3-8347;978-90-481;978-94-007;978-94-009;978-94-010;978-94-011;978-94-015;978-94-017;978-94-024;978-0-387;978-0-8176;978-1-4419;978-1-4612;978-1-4613;978-1-4614;978-1-4615;978-1-4684;978-1-4757;978-1-4899;978-1-4939;978-1-5041;978-3-319;978-1-4020;978-0-85729;978-1-4471;978-1-84628;978-1-84800;978-1-84882;978-1-84996;978-1-85233;978-3-211;978-3-7091;978-4-431;978-3-322;978-3-409;978-3-531;978-3-658;978-3-663;978-3-8100;978-981-287;978-981-10;978-981-13;978-3-030;978-981-32;978-981-15;978-981-16;978-981-329;978-981-334;978-981-336;978-3-031;978-981-19;
dc.relation.doi10.1007/978-3-031-98675-8_6
dc.relation.ispartofseriesComputational Methods in Applied Sciences
dc.relation.volume17
dc.titleMultibundle Method for Constrained Nonsmooth Multiobjective DC Optimization
dc.title.bookChallenges in Design Methods, Numerical Tools and Technologies for Sustainable Aviation, Transport and Industry : Commemorative publication dedicated to the 80th Jubilee of Prof. Jacques Periaux
dc.year.issued2026

Tiedostot

Kokoelmat

Rinnakkaistallenteet