Dynamic Programming Multi-Objective Combinatorial Optimization

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Release : 2021-02-08
Genre : Technology & Engineering
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Book Rating : 207/5 ( reviews)

Dynamic Programming Multi-Objective Combinatorial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Programming Multi-Objective Combinatorial Optimization write by Michal Mankowski. This book was released on 2021-02-08. Dynamic Programming Multi-Objective Combinatorial Optimization available in PDF, EPUB and Kindle. This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model. As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem. The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses.

Multi-Objective Programming and Goal Programming

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Release : 2013-11-11
Genre : Mathematics
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Book Rating : 109/5 ( reviews)

Multi-Objective Programming and Goal Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multi-Objective Programming and Goal Programming write by Tetsuzo Tanino. This book was released on 2013-11-11. Multi-Objective Programming and Goal Programming available in PDF, EPUB and Kindle. This volume constitutes the proceedings of the Fifth International Conference on Multi-Objective Programming and Goal Programming: Theory & Appli cations (MOPGP'02) held in Nara, Japan on June 4-7, 2002. Eighty-two people from 16 countries attended the conference and 78 papers (including 9 plenary talks) were presented. MOPGP is an international conference within which researchers and prac titioners can meet and learn from each other about the recent development in multi-objective programming and goal programming. The participants are from different disciplines such as Optimization, Operations Research, Math ematical Programming and Multi-Criteria Decision Aid, whose common in terest is in multi-objective analysis. The first MOPGP Conference was held at Portsmouth, United Kingdom, in 1994. The subsequent conferenes were held at Torremolinos, Spain in 1996, at Quebec City, Canada in 1998, and at Katowice, Poland in 2000. The fifth conference was held at Nara, which was the capital of Japan for more than seventy years in the eighth century. During this Nara period the basis of Japanese society, or culture established itself. Nara is a beautiful place and has a number of historic monuments in the World Heritage List. The members of the International Committee of MOPGP'02 were Dylan Jones, Pekka Korhonen, Carlos Romero, Ralph Steuer and Mehrdad Tamiz.

Multi-Objective Combinatorial Optimization Problems and Solution Methods

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Release : 2022-02-09
Genre : Science
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Book Rating : 003/5 ( reviews)

Multi-Objective Combinatorial Optimization Problems and Solution Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multi-Objective Combinatorial Optimization Problems and Solution Methods write by Mehdi Toloo. This book was released on 2022-02-09. Multi-Objective Combinatorial Optimization Problems and Solution Methods available in PDF, EPUB and Kindle. 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

Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining

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Release : 2019-01-25
Genre : Computers
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Book Rating : 092/5 ( reviews)

Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining write by Hassan AbouEisha. This book was released on 2019-01-25. Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining available in PDF, EPUB and Kindle. Dynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses.

Introduction to Combinatorial Optimization

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Release : 2022-09-26
Genre : Mathematics
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Book Rating : 966/5 ( reviews)

Introduction to Combinatorial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Combinatorial Optimization write by Ding-Zhu Du. This book was released on 2022-09-26. Introduction to Combinatorial Optimization available in PDF, EPUB and Kindle. 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.