Concepts of Combinatorial Optimization

Concepts of Combinatorial Optimization PDF Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
ISBN: 1848216564
Category : Mathematics
Languages : en
Pages : 67

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Book Description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.

Discrete Mathematics

Discrete Mathematics PDF Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 1441980474
Category : Mathematics
Languages : en
Pages : 473

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Book Description
This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.

Concepts of Combinatorial Optimization, Volume 1

Concepts of Combinatorial Optimization, Volume 1 PDF Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
ISBN: 1118600231
Category : Mathematics
Languages : en
Pages : 283

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Book Description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.

Integer Programming and Related Areas

Integer Programming and Related Areas PDF Author: Rabe v. Randow
Publisher: Springer Science & Business Media
ISBN: 3642516548
Category : Business & Economics
Languages : en
Pages : 522

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Book Description
The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.

Operations Research

Operations Research PDF Author: Vilda Purutçuoğlu
Publisher: CRC Press
ISBN: 1000800121
Category : Business & Economics
Languages : en
Pages : 277

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Book Description
Operation Research methods are often used in every field of modern life like industry, economy and medicine. The authors have compiled of the latest advancements in these methods in this volume comprising some of what is considered the best collection of these new approaches. These can be counted as a direct shortcut to what you may search for. This book provides useful applications of the new developments in OR written by leading scientists from some international universities. Another volume about exciting applications of Operations Research is planned in the near future. We hope you enjoy and benefit from this series!

Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Optimization of Complex Systems: Theory, Models, Algorithms and Applications PDF Author: Hoai An Le Thi
Publisher: Springer
ISBN: 3030218031
Category : Technology & Engineering
Languages : en
Pages : 1164

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Book Description
This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

An Introduction to the Modeling of Neural Networks

An Introduction to the Modeling of Neural Networks PDF Author: Pierre Peretto
Publisher: Cambridge University Press
ISBN: 9780521424875
Category : Computers
Languages : en
Pages : 496

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Book Description
This book is a beginning graduate-level introduction to neural networks which is divided into four parts.

Integer Programming and Related Areas

Integer Programming and Related Areas PDF Author: C. Kastning
Publisher: Springer Science & Business Media
ISBN: 3662022842
Category : Business & Economics
Languages : en
Pages : 504

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Book Description
Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.

Integer Programming and Related Areas

Integer Programming and Related Areas PDF Author: R.v. Randow
Publisher: Springer Science & Business Media
ISBN: 3642464491
Category : Business & Economics
Languages : en
Pages : 349

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Book Description


Advances in Control Education 1991

Advances in Control Education 1991 PDF Author: G.F. Franklin
Publisher: Elsevier
ISBN: 1483298892
Category : Technology & Engineering
Languages : en
Pages : 217

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Book Description
This volume is the published proceedings of selected papers from the IFAC Symposium, Boston, Massachusetts, 24-25 June 1991, where a forum was provided for the discussion of the latest advances and techniques in the education of control and systems engineers. Emerging technologies in this field, neural networks, fuzzy logic and symbolic computation are incorporated in the papers. Containing 35 papers, these proceedings provide a valuable reference source for anyone lecturing in this area, with many practical applications included.