Conjugate Duality in Optimization of Search for a Target with Generalized Conditionally Deterministic Motion
Author: Ulla Pursiheimo
Publisher:
Published: 1978
Total Pages:
ISBN-13: 9789516415751
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Author: Ulla Pursiheimo
Publisher:
Published: 1978
Total Pages:
ISBN-13: 9789516415751
DOWNLOAD EBOOKAuthor: O. L. R. Jacobs
Publisher:
Published: 1980
Total Pages: 600
ISBN-13:
DOWNLOAD EBOOKOptimal stochastic control; Stochastic optimisation; Stochastic processes; Algorithms; Information; Parameter estimation; Applications.
Author:
Publisher:
Published: 1991
Total Pages: 1002
ISBN-13:
DOWNLOAD EBOOKThe types of articles most sought after by Naval Research Logistics fall into the following classes: (i) modeling and analysis of problems motivated by current real-world applications, (ii) exploratory modeling and analysis of problems motivated by potential future real-world applications, (iii) major methodological advances, and (iv) expository pieces of exceptional clarity. Areas represented include (but are not limited to) probability, statistics, simulation, optimization, game theory,scheduling, reliability, inventory, decision analysis, and combatmodels.
Author: Radu Ioan-Bot
Publisher: Springer
Published: 2011-03-03
Total Pages: 164
ISBN-13: 9783642049156
DOWNLOAD EBOOKThe results presented in this book originate from the last decade research work of the author in the ?eld of duality theory in convex optimization. The reputation of duality in the optimization theory comes mainly from the major role that it plays in formulating necessary and suf?cient optimality conditions and, consequently, in generatingdifferent algorithmic approachesfor solving mathematical programming problems. The investigations made in this work prove the importance of the duality theory beyond these aspects and emphasize its strong connections with different topics in convex analysis, nonlinear analysis, functional analysis and in the theory of monotone operators. The ?rst part of the book brings to the attention of the reader the perturbation approach as a fundamental tool for developing the so-called conjugate duality t- ory. The classical Lagrange and Fenchel duality approaches are particular instances of this general concept. More than that, the generalized interior point regularity conditions stated in the past for the two mentioned situations turn out to be p- ticularizations of the ones given in this general setting. In our investigations, the perturbationapproachrepresentsthestartingpointforderivingnewdualityconcepts for several classes of convex optimization problems. Moreover, via this approach, generalized Moreau–Rockafellar formulae are provided and, in connection with them, a new class of regularity conditions, called closedness-type conditions, for both stable strong duality and strong duality is introduced. By stable strong duality we understand the situation in which strong duality still holds whenever perturbing the objective function of the primal problem with a linear continuous functional.
Author: R. Tyrrell Rockafellar
Publisher: SIAM
Published: 1974-01-01
Total Pages: 82
ISBN-13: 0898710138
DOWNLOAD EBOOKThe theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author).
Author:
Publisher:
Published: 1982
Total Pages: 1076
ISBN-13:
DOWNLOAD EBOOKAuthor: Ralph Tyrrell Rockafellar
Publisher:
Published: 1989
Total Pages: 74
ISBN-13:
DOWNLOAD EBOOKAuthor: Ulla Pursiheimo
Publisher:
Published: 1974
Total Pages:
ISBN-13: 9789516412002
DOWNLOAD EBOOKAuthor: Cédric Villani
Publisher: Springer Science & Business Media
Published: 2008-10-26
Total Pages: 970
ISBN-13: 3540710507
DOWNLOAD EBOOKAt the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.