Research Trends In Combinatorial Optimization

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Research Trends in Combinatorial Optimization

William J. Cook,László Lovász,Jens Vygen
Research Trends in Combinatorial Optimization Book PDF

Author : William J. Cook,László Lovász,Jens Vygen
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 50,7 Mb
Release : 2008-11-07
Category : Mathematics
ISBN : 9783540767961

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Research Trends in Combinatorial Optimization by William J. Cook,László Lovász,Jens Vygen Pdf

The editors and authors dedicate this book to Bernhard Korte on the occasion of his seventieth birthday. We, the editors, are happy about the overwhelming feedback to our initiative to honor him with this book and with a workshop in Bonn on November 3–7,2008.Althoughthiswouldbeareasontolookback,wewouldratherliketolook forward and see what are the interesting research directions today. This book is written by leading experts in combinatorial optimization. All - pers were carefully reviewed, and eventually twenty-three of the invited papers were accepted for this book. The breadth of topics is typical for the eld: combinatorial optimization builds bridges between areas like combinatorics and graph theory, submodular functions and matroids, network ows and connectivity, approximation algorithms and mat- matical programming, computational geometry and polyhedral combinatorics. All these topics are related, and they are all addressed in this book. Combi- torial optimization is also known for its numerous applications. To limit the scope, however, this book is not primarily about applications, although some are mentioned at various places. Most papers in this volume are surveys that provide an excellent overview of an activeresearcharea,butthisbookalsocontainsmanynewresults.Highlightingmany of the currently most interesting research directions in combinatorial optimization, we hope that this book constitutes a good basis for future research in these areas.

Research Trends in Combinatorial Optimization

William J. Cook,László Lovász,Jens Vygen
Research Trends in Combinatorial Optimization Book PDF

Author : William J. Cook,László Lovász,Jens Vygen
Publisher : Springer
Page : 562 pages
File Size : 53,6 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 3540869581

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Research Trends in Combinatorial Optimization by William J. Cook,László Lovász,Jens Vygen Pdf

The editors and authors dedicate this book to Bernhard Korte on the occasion of his seventieth birthday. We, the editors, are happy about the overwhelming feedback to our initiative to honor him with this book and with a workshop in Bonn on November 3–7,2008.Althoughthiswouldbeareasontolookback,wewouldratherliketolook forward and see what are the interesting research directions today. This book is written by leading experts in combinatorial optimization. All - pers were carefully reviewed, and eventually twenty-three of the invited papers were accepted for this book. The breadth of topics is typical for the eld: combinatorial optimization builds bridges between areas like combinatorics and graph theory, submodular functions and matroids, network ows and connectivity, approximation algorithms and mat- matical programming, computational geometry and polyhedral combinatorics. All these topics are related, and they are all addressed in this book. Combi- torial optimization is also known for its numerous applications. To limit the scope, however, this book is not primarily about applications, although some are mentioned at various places. Most papers in this volume are surveys that provide an excellent overview of an activeresearcharea,butthisbookalsocontainsmanynewresults.Highlightingmany of the currently most interesting research directions in combinatorial optimization, we hope that this book constitutes a good basis for future research in these areas.

Combinatorial Optimization

Mustafa Akgül,Horst W. Hamacher,Süleyman Tüfekci
Combinatorial Optimization Book PDF

Author : Mustafa Akgül,Horst W. Hamacher,Süleyman Tüfekci
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642774898

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Combinatorial Optimization by Mustafa Akgül,Horst W. Hamacher,Süleyman Tüfekci Pdf

There have been significant developments in the theory and practice of combinatorial optimization in the last 15 years. This progress has been evidenced by a continuously increasing number of international and local conferences, books and papers in this area. This book is also another contribution to this burgeoning area of operations research and optimization. This volume contains the contributions of the participants of the recent NATO Ad vanced Study Institute, New Frontiers in the Theory and Practice of Combinatorial Op timization, which was held at the campus of Bilkent University, in Ankara, Turkey, July 16-29, 1990. In this conference, we brought many prominent researchers and young and promising scientists together to discuss current and future trends in the theory and prac tice of combinatorial optimization. The Bilkent campus was an excellent environment for such an undertaking. Being outside of Ankara, the capital of Turkey, Bilkent University gave the participants a great opportunity for exchanging ideas and discussing new theories and applications without much distraction. One of the primary goals of NATO ASIs is to bring together a group of scientists and research scientists primarily from the NATO countries for the dissemination of ad vanced scientific knowledge and the promotion of international contacts among scientists. We believe that we accomplished this mission very successfully by bringing together 15 prominent lecturers and 45 promising young scientists from 12 countries, in a university environment for 14 days of intense lectures, presentations and discussions.

Efficient Approximation and Online Algorithms

Evripidis Bampis
Efficient Approximation and Online Algorithms Book PDF

Author : Evripidis Bampis
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 54,6 Mb
Release : 2006-02-06
Category : Computers
ISBN : 9783540322122

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Efficient Approximation and Online Algorithms by Evripidis Bampis Pdf

This book provides a good opportunity for computer science practitioners and researchers to get in sync with current state-of-the-art and future trends in the field of combinatorial optimization and online algorithms. Recent advances in this area are presented focusing on the design of efficient approximation and on-line algorithms. One central idea in the book is to use a linear program relaxation of the problem, randomization and rounding techniques.

Iterative Methods in Combinatorial Optimization

Lap Chi Lau,R. Ravi,Mohit Singh
Iterative Methods in Combinatorial Optimization Book PDF

Author : Lap Chi Lau,R. Ravi,Mohit Singh
Publisher : Cambridge University Press
Page : 255 pages
File Size : 51,5 Mb
Release : 2011-04-18
Category : Computers
ISBN : 9781139499392

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Iterative Methods in Combinatorial Optimization by Lap Chi Lau,R. Ravi,Mohit Singh Pdf

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

Progress in Combinatorial Optimization

Ridha Mahjoub
Progress in Combinatorial Optimization Book PDF

Author : Ridha Mahjoub
Publisher : Wiley-ISTE
Page : 0 pages
File Size : 41,6 Mb
Release : 2012-02-01
Category : Mathematics
ISBN : 1848212062

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Progress in Combinatorial Optimization by Ridha Mahjoub Pdf

This book presents recent developments and new trends in Combinatorial Optimization. Combinatorial Optimization is an active research area that has applications in many domains such as communications, network design, VLSI, scheduling, production, computational biology. In the past years, new results and major advances have been seen in many areas including computational complexity, approximation algorithms, cutting-plane based methods and submodularity function minimization. More efficient and powerful methods have been developed for approaching real-worlds problems, and new concepts and theoritical results have been introduced.

Evolutionary Computation in Combinatorial Optimization

Bin Hu,Manuel López-Ibáñez
Evolutionary Computation in Combinatorial Optimization Book PDF

Author : Bin Hu,Manuel López-Ibáñez
Publisher : Springer
Page : 249 pages
File Size : 53,6 Mb
Release : 2017-04-03
Category : Computers
ISBN : 9783319554532

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Evolutionary Computation in Combinatorial Optimization by Bin Hu,Manuel López-Ibáñez Pdf

This book constitutes the refereed proceedings of the 17th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2017, held in Amsterdam, The Netherlands, in April 2017, co-located with the Evo*2017 events EuroGP, EvoMUSART and EvoApplications. The 16 revised full papers presented were carefully reviewed and selected from 39 submissions. The papers cover both empirical and theoretical studies on a wide range of academic and real-world applications. The methods include evolutionary and memetic algorithms, large neighborhood search, estimation of distribution algorithms, beam search, ant colony optimization, hyper-heuristics and matheuristics. Applications include both traditional domains, such as knapsack problem, vehicle routing, scheduling problems and SAT; and newer domains such as the traveling thief problem, location planning for car-sharing systems and spacecraft trajectory optimization. Papers also study important concepts such as pseudo-backbones, phase transitions in local optima networks, and the analysis of operators. This wide range of topics makes the EvoCOP proceedings an important source for current research trends in combinatorial optimization.

Applications of Combinatorial Optimization

Vangelis Th. Paschos
Applications of Combinatorial Optimization Book PDF

Author : Vangelis Th. Paschos
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 52,9 Mb
Release : 2014-09-15
Category : Mathematics
ISBN : 9781848216587

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Applications of Combinatorial Optimization by Vangelis Th. Paschos Pdf

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.

Handbook of Combinatorial Optimization

Ding-Zhu Du,Panos M. Pardalos
Handbook of Combinatorial Optimization Book PDF

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 49,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475730234

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Handbook of Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos Pdf

Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

Combinatorial Optimization

Pierre Fouilhoux,Luis Eduardo Neves Gouveia,A. Ridha Mahjoub,Vangelis T. Paschos
Combinatorial Optimization Book PDF

Author : Pierre Fouilhoux,Luis Eduardo Neves Gouveia,A. Ridha Mahjoub,Vangelis T. Paschos
Publisher : Springer
Page : 462 pages
File Size : 43,9 Mb
Release : 2014-07-21
Category : Computers
ISBN : 9783319091747

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Combinatorial Optimization by Pierre Fouilhoux,Luis Eduardo Neves Gouveia,A. Ridha Mahjoub,Vangelis T. Paschos Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Symposium on Combinatorial Optimization, ISCO 2014, held in Lisbon, Portugal, in March 2014. The 37 revised full papers presented together with 64 short papers were carefully reviewed and selected from 97 submissions. They present original research on all aspects of combinatorial optimization, such as algorithms and complexity; mathematical programming; operations research; stochastic optimization; graphs and combinatorics.

Handbook of combinatorial optimization. 1

Dingzhu Du,Panos M. Pardalos
Handbook of combinatorial optimization 1 Book PDF

Author : Dingzhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 808 pages
File Size : 53,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0792350189

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Handbook of combinatorial optimization. 1 by Dingzhu Du,Panos M. Pardalos Pdf

The first of a multi-volume set, which deals with several algorithmic approaches for discrete problems as well as many combinatorial problems. It is addressed to researchers in discrete optimization, and to all scientists who use combinatorial optimization methods to model and solve problems.

Analysis and Design of Algorithms for Combinatorial Problems

G. Ausiello,M. Lucertini
Analysis and Design of Algorithms for Combinatorial Problems Book PDF

Author : G. Ausiello,M. Lucertini
Publisher : Elsevier
Page : 318 pages
File Size : 47,9 Mb
Release : 1985-05-01
Category : Mathematics
ISBN : 0080872204

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Analysis and Design of Algorithms for Combinatorial Problems by G. Ausiello,M. Lucertini Pdf

Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed. The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

Concepts of Combinatorial Optimization

Vangelis Th. Paschos
Concepts of Combinatorial Optimization Book PDF

Author : Vangelis Th. Paschos
Publisher : John Wiley & Sons
Page : 67 pages
File Size : 48,8 Mb
Release : 2014-09-09
Category : Mathematics
ISBN : 9781848216563

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Concepts of Combinatorial Optimization by Vangelis Th. Paschos Pdf

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.

Paradigms of Combinatorial Optimization

Vangelis Th. Paschos
Paradigms of Combinatorial Optimization Book PDF

Author : Vangelis Th. Paschos
Publisher : John Wiley & Sons
Page : 626 pages
File Size : 46,5 Mb
Release : 2014-08-08
Category : Mathematics
ISBN : 9781119015192

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Paradigms of Combinatorial Optimization by Vangelis Th. Paschos Pdf

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.

Mathematical Optimization Theory and Operations Research: Recent Trends

Michael Khachay,Yury Kochetov,Anton Eremeev,Oleg Khamisov,Vladimir Mazalov,Panos Pardalos
Mathematical Optimization Theory and Operations Research Recent Trends Book PDF

Author : Michael Khachay,Yury Kochetov,Anton Eremeev,Oleg Khamisov,Vladimir Mazalov,Panos Pardalos
Publisher : Springer Nature
Page : 412 pages
File Size : 50,7 Mb
Release : 2023-09-20
Category : Mathematics
ISBN : 9783031432576

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Mathematical Optimization Theory and Operations Research: Recent Trends by Michael Khachay,Yury Kochetov,Anton Eremeev,Oleg Khamisov,Vladimir Mazalov,Panos Pardalos Pdf

This book constitutes refereed proceedings of the 22nd International Conference on Mathematical Optimization Theory and Operations Research: Recent Trends, MOTOR 2023, held in Ekaterinburg, Russia, during July 2–8, 2023. The 28 full papers and one invited paper presented in this volume were carefully reviewed and selected from a total of 61 submissions. The papers in the volume are organized according to the following topical headings: mathematical programming; stochastic optimization; discrete and combinatorial optimization; operations research; optimal control and mathematical economics; and optimization in machine learning.