Buch, Englisch, 244 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1200 g
Buch, Englisch, 244 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1200 g
Reihe: Monographs in Contemporary Mathematics
ISBN: 978-0-306-11038-2
Verlag: Springer US
This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems. The author obtains common conditions of stability and asymptotic nonsensitivity of extremal problems under perturbation of a part of integral restrictions for finite and infinite systems of restrictions. Features include individual chapters on nonstandard approximation of finitely additive measures by indefinite integrals and constructions of attraction sets. Professor Chentsov illustrates abstract settings by providing examples of problems of impulse control, mathematical programming, and stochastic optimization.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
- Mathematik | Informatik Mathematik Mathematik Allgemein
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
Weitere Infos & Material
Introduction. Relaxation of Extremal Problems (Intuitive Discussion and Examples). Compactificators in Extremal Problems. Finitely Additive Measures on Semialgebras of Sets. Finitely Additive Measures and Indefinite Integrals. Admissible Sets and Their Relaxation. Relaxations of Attainable Sets. Asymptotic Values and Their Generalized Representation. Asymptotic Effectiveness. Questions of Stability with Respect to the Result. Conclusion. Index.
