(Išleidimo metai: 30-Nov-2024, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978087)
Optimal transport has evolved from solving mortar-moving puzzles to addressing challenges in fluid dynamics, many-electron physics and AI. It builds theory from scratch on finite state spaces with intuitive examples, while covering modern topics inc...Daugiau...
This book presents state-of-the-art research and practice in optimization routing, specifically the vehicle routing problem (VRP). Since its introduction in the late 1950s, the VRP has been a very significant area of research and practice in operat...Daugiau...
This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshi...Daugiau...
This book presents state-of-the-art research and practice in optimization routing, specifically the vehicle routing problem (VRP). Since its introduction in the late 1950s, the VRP has been a very significant area of research and practice in operat...Daugiau...
This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy envir...Daugiau...
(Išleidimo metai: 15-Aug-2021, Leidėjas: European Mathematical Society, ISBN-13: 9783985470105)
This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject.The presentation focuses on the essential topics of the theory: Kantorovi...Daugiau...
This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy envir...Daugiau...
Presents an overview of the main theoretical insights that support the practical effectiveness of OT before explaining how to turn these insights into fast computational schemes. This book will be a valuable reference for researchers and students wi...Daugiau...
Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the science...Daugiau...
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains...Daugiau...
(Išleidimo metai: 21-Dec-2017, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108421577)
This detailed account of analysis on Polish spaces contains results that apply to probability theory and a gentle introduction to optimal transportation. Containing more than 200 elementary exercises, it is a useful resource for advanced mathematical...Daugiau...
Maļtine Bergounioux, Édouard Oudet, Martin Rumpf, Guillaume Carlier, Thierry Champion, Filippo Santambrogio
Serija: Radon Series on Computational and Applied Mathematics
(Išleidimo metai: 07-Aug-2017, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783110439267)
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science...Daugiau...
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with th...Daugiau...
A collection of introductory lecture notes and research papers on optimal transportation and its interactions with analysis, geometry, PDE and probability. Both fundamental and advanced aspects of the theory are covered, as well as applications to ur...Daugiau...
(Išleidimo metai: 23-Sep-2008, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540693147)
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such...Daugiau...
Serija: Monographs on Discrete Mathematics & Applications S.
(Išleidimo metai: 01-Jan-2001, Hardback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9780898714982)
Contributors from business, science, and engineering present both exact and heuristic methods that have been developed over the past decades to determine the optimal set of routes to be performed by a fleet of vehicles to serve a given set of custome...Daugiau...
