Industrial Applications Of Combinatorial Optimization

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Industrial Applications of Combinatorial Optimization

Author : Gang Yu
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 42,9 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9781475728767

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Industrial Applications of Combinatorial Optimization by Gang Yu Pdf

Industries rely more and more on advanced technology. Accelerated computer evolution makes large-scale computation practical. Many enterprises are be ginning to benefit from more efficient allocation of resources and more effective planning, scheduling, manufacturing, and distribution by adopting state-of-the art decision support systems. Academics increasingly emphasize application driven research. All these forces have moved optimization from a pure class room and textbook terminology to an accepted tool in today's business world. This book chronicles and describes applications of combinatorial optimization in industry. A wide range of applications is included: manpower planning • production planning • job sequencing and scheduling • manufacturing layout design • facility planning • vehicle scheduling and routing • retail seasonal planning • I! space shuttle scheduling, and telecommunication network design . • The applications covered in this book comprise a representative set of industry sectors including electronics, airlines, manufacturing, tobacco, retail, telecom munication, defense, and livestock. These examples should encourage opera tions researchers and applied mathematicians by pointing out how the impor tance and practicality of optimization is starting to be realized by the manage ment of various organizations and how some pioneering developments in this field are beginning to bear fruit.

Introduction to Combinatorial Optimization

Author : Ding-Zhu Du,Panos M. Pardalos,Xiaodong Hu,Weili Wu
Publisher : Springer Nature
Page : 407 pages
File Size : 41,6 Mb
Release : 2022-09-26
Category : Mathematics
ISBN : 9783031105968

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Introduction to Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos,Xiaodong Hu,Weili Wu Pdf

Introductory courses in combinatorial optimization are popular at the upper undergraduate/graduate levels in computer science, industrial engineering, and business management/OR, owed to its wide applications in these fields. There are several published textbooks that treat this course and the authors have used many of them in their own teaching experiences. This present text fills a gap and is organized with a stress on methodology and relevant content, providing a step-by-step approach for the student to become proficient in solving combinatorial optimization problems. Applications and problems are considered via recent technology developments including wireless communication, cloud computing, social networks, and machine learning, to name several, and the reader is led to the frontiers of combinatorial optimization. Each chapter presents common problems, such as minimum spanning tree, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, such as greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst the gems of this textbook.

Applications of Combinatorial Optimization

Author : Vangelis Th. Paschos
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 52,5 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.

Multi-Objective Combinatorial Optimization Problems and Solution Methods

Author : Mehdi Toloo,Siamak Talatahari,Iman Rahimi
Publisher : Academic Press
Page : 316 pages
File Size : 44,7 Mb
Release : 2022-02-09
Category : Science
ISBN : 9780128238004

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Multi-Objective Combinatorial Optimization Problems and Solution Methods by Mehdi Toloo,Siamak Talatahari,Iman Rahimi Pdf

Multi-Objective Combinatorial Optimization Problems and Solution Methods discusses the results of a recent multi-objective combinatorial optimization achievement that considered metaheuristic, mathematical programming, heuristic, hyper heuristic and hybrid approaches. In other words, the book presents various multi-objective combinatorial optimization issues that may benefit from different methods in theory and practice. Combinatorial optimization problems appear in a wide range of applications in operations research, engineering, biological sciences and computer science, hence many optimization approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic and algebraic techniques. This book covers this important topic as computational optimization has become increasingly popular as design optimization and its applications in engineering and industry have become ever more important due to more stringent design requirements in modern engineering practice. Presents a collection of the most up-to-date research, providing a complete overview of multi-objective combinatorial optimization problems and applications Introduces new approaches to handle different engineering and science problems, providing the field with a collection of related research not already covered in the primary literature Demonstrates the efficiency and power of the various algorithms, problems and solutions, including numerous examples that illustrate concepts and algorithms

Solving Combinatorial Optimization Problems in Parallel Methods and Techniques

Author : Alfonso Ferreira,Panos Pardalos
Publisher : Springer
Page : 280 pages
File Size : 41,6 Mb
Release : 1996-03-27
Category : Computers
ISBN : 354061043X

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Solving Combinatorial Optimization Problems in Parallel Methods and Techniques by Alfonso Ferreira,Panos Pardalos Pdf

Solving combinatorial optimization problems can often lead to runtime growing exponentially as a function of the input size. But important real-world problems, industrial applications, and academic research challenges, may demand exact optimal solutions. In such situations, parallel processing can reduce the runtime from days or months, typical when one workstation is used, to a few minutes or even seconds. Partners of the CEC-sponsored SCOOP Project (Solving Combinatorial Optimization Problems in Parallel) contributed, on invitation, to this book; much attention was paid to competent coverage of the topic and the style of writing. Readers will include students, scientists, engineers, and professionals interested in the design and implementation of parallel algorithms for solving combinatorial optimization problems.

The Linear Ordering Problem

Author : Rafael Martí,Gerhard Reinelt
Publisher : Springer Science & Business Media
Page : 172 pages
File Size : 49,5 Mb
Release : 2011-01-03
Category : Computers
ISBN : 9783642167294

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The Linear Ordering Problem by Rafael Martí,Gerhard Reinelt Pdf

Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.

Optimization and Industry: New Frontiers

Author : Panos M. Pardalos,Viktor Filippovich Korotkikh
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 45,9 Mb
Release : 2003-03-31
Category : Business & Economics
ISBN : 1402011873

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Optimization and Industry: New Frontiers by Panos M. Pardalos,Viktor Filippovich Korotkikh Pdf

At the beginning of the new millennium, optimization is undergoing a major transformation in scope and dimension. It is evolving in response to challenges and opportunities from industry. From a largely dominant focus on specific problems, optimization is rapidly expanding to provide all the ingredients for a surge of a much broader development of technological, business and financial innovations. The chapters in the book give information about the latest advances of optimization in telecommunications, supply chain management, auto manufacturing, aerospace engineering, power industry, air traffic management, complexity and others. The book provides a unique opportunity for researchers in optimization and leaders of industry to understand the significance of the changes by presenting the field's accomplishments, new developments and future directions. Audience: The book is written at a level suitable for advanced undergraduate students, graduate students as well as research workers and practitioners in computer science, information technology, mathematics, management science and business. The book is quite suitable as a reference or as supplementary reading material for an advanced graduate course.

Extremal Optimization

Author : Yong-Zai Lu,Yu-Wang Chen,Min-Rong Chen,Peng Chen,Guo-Qiang Zeng
Publisher : CRC Press
Page : 334 pages
File Size : 44,7 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9781315362342

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Extremal Optimization by Yong-Zai Lu,Yu-Wang Chen,Min-Rong Chen,Peng Chen,Guo-Qiang Zeng Pdf

Extremal Optimization: Fundamentals, Algorithms, and Applications introduces state-of-the-art extremal optimization (EO) and modified EO (MEO) solutions from fundamentals, methodologies, and algorithms to applications based on numerous classic publications and the authors’ recent original research results. It promotes the movement of EO from academic study to practical applications. The book covers four aspects, beginning with a general review of real-world optimization problems and popular solutions with a focus on computational complexity, such as "NP-hard" and the "phase transitions" occurring on the search landscape. Next, it introduces computational extremal dynamics and its applications in EO from principles, mechanisms, and algorithms to the experiments on some benchmark problems such as TSP, spin glass, Max-SAT (maximum satisfiability), and graph partition. It then presents studies on the fundamental features of search dynamics and mechanisms in EO with a focus on self-organized optimization, evolutionary probability distribution, and structure features (e.g., backbones), which are based on the authors’ recent research results. Finally, it discusses applications of EO and MEO in multiobjective optimization, systems modeling, intelligent control, and production scheduling. The authors present the advanced features of EO in solving NP-hard problems through problem formulation, algorithms, and simulation studies on popular benchmarks and industrial applications. They also focus on the development of MEO and its applications. This book can be used as a reference for graduate students, research developers, and practical engineers who work on developing optimization solutions for those complex systems with hardness that cannot be solved with mathematical optimization or other computational intelligence, such as evolutionary computations.

Combinatorial Optimization

Author : Christos H. Papadimitriou,Kenneth Steiglitz
Publisher : Courier Corporation
Page : 528 pages
File Size : 40,9 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486320137

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Combinatorial Optimization by Christos H. Papadimitriou,Kenneth Steiglitz Pdf

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 45,5 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 for Undergraduates

Author : L. R. Foulds
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461395119

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Combinatorial Optimization for Undergraduates by L. R. Foulds Pdf

The major purpose of this book is to introduce the main concepts of discrete optimization problems which have a finite number of feasible solutions. Following common practice, we term this topic combinatorial optimization. There are now a number of excellent graduate-level textbooks on combina torial optimization. However, there does not seem to exist an undergraduate text in this area. This book is designed to fill this need. The book is intended for undergraduates in mathematics, engineering, business, or the physical or social sciences. It may also be useful as a reference text for practising engineers and scientists. The writing of this book was inspired through the experience of the author in teaching the material to undergraduate students in operations research, engineering, business, and mathematics at the University of Canterbury, New Zealand. This experience has confirmed the suspicion that it is often wise to adopt the following approach when teaching material of the nature contained in this book. When introducing a new topic, begin with a numerical problem which the students can readily understand; develop a solution technique by using it on this problem; then go on to general problems. This philosophy has been adopted throughout the book. The emphasis is on plausibility and clarity rather than rigor, although rigorous arguments have been used when they contribute to the understanding of the mechanics of an algorithm.

Connections in Combinatorial Optimization

Author : András Frank
Publisher : OUP Oxford
Page : 664 pages
File Size : 52,5 Mb
Release : 2011-02-24
Category : Mathematics
ISBN : 9780199205271

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Connections in Combinatorial Optimization by András Frank Pdf

Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.

Applications of Combinatorial Optimization, Volume 3

Author : Vangelis Th. Paschos
Publisher : John Wiley & Sons
Page : 316 pages
File Size : 53,9 Mb
Release : 2013-02-07
Category : Mathematics
ISBN : 9781118600115

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Applications of Combinatorial Optimization, Volume 3 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 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. “Applications of Combinatorial Optimization” is presenting a certain number among the most common and well-known applications of Combinatorial Optimization.

Handbook of combinatorial optimization. 1

Author : Dingzhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 808 pages
File Size : 48,7 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.

Combinatorial, Linear, Integer and Nonlinear Optimization Apps

Author : J. MacGregor Smith
Publisher : Springer Nature
Page : 275 pages
File Size : 55,8 Mb
Release : 2021-10-17
Category : Mathematics
ISBN : 9783030758011

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Combinatorial, Linear, Integer and Nonlinear Optimization Apps by J. MacGregor Smith Pdf

This textbook provides an introduction to the use and understanding of optimization and modeling for upper-level undergraduate students in engineering and mathematics. The formulation of optimization problems is founded through concepts and techniques from operations research: Combinatorial Optimization, Linear Programming, and Integer and Nonlinear Programming (COLIN). Computer Science (CS) is also relevant and important given the applications of algorithms and Apps/algorithms (A) in solving optimization problems. Each chapter provides an overview of the main concepts of optimization according to COLINA, providing examples through App Inventor and AMPL software applications. All apps developed through the text are available for download. Additionally, the text includes links to the University of Wisconsin NEOS server, designed to handle more computing-intensive problems in complex optimization. Readers are encouraged to have some background in calculus, linear algebra, and related mathematics.