A Minimal Algorithm For The 0 1 Knapsack Problem

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Knapsack Problems

Author : Hans Kellerer
Publisher : Springer Science & Business Media
ISBN 13 : 3540247777
Total Pages : 557 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Knapsack Problems by : Hans Kellerer

Download or read book Knapsack Problems written by Hans Kellerer and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirteen years have passed since the seminal book on knapsack problems by Martello and Toth appeared. On this occasion a former colleague exclaimed back in 1990: "How can you write 250 pages on the knapsack problem?" Indeed, the definition of the knapsack problem is easily understood even by a non-expert who will not suspect the presence of challenging research topics in this area at the first glance. However, in the last decade a large number of research publications contributed new results for the knapsack problem in all areas of interest such as exact algorithms, heuristics and approximation schemes. Moreover, the extension of the knapsack problem to higher dimensions both in the number of constraints and in the num ber of knapsacks, as well as the modification of the problem structure concerning the available item set and the objective function, leads to a number of interesting variations of practical relevance which were the subject of intensive research during the last few years. Hence, two years ago the idea arose to produce a new monograph covering not only the most recent developments of the standard knapsack problem, but also giving a comprehensive treatment of the whole knapsack family including the siblings such as the subset sum problem and the bounded and unbounded knapsack problem, and also more distant relatives such as multidimensional, multiple, multiple-choice and quadratic knapsack problems in dedicated chapters.

Knapsack Problems

Author : Silvano Martello
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Knapsack Problems by : Silvano Martello

Download or read book Knapsack Problems written by Silvano Martello and published by . This book was released on 1990-12-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a state of art examination on exact and approximate algorithms for a number of important NP-hard problems in the field of integer linear programming, which the authors refer to as ``knapsack.'' Includes not only the classical knapsack problems such as binary, bounded, unbounded or binary multiple, but also less familiar problems such as subset-sum and change-making. Well known problems that are not usually classified in the knapsack area, including generalized assignment and bin packing, are also covered. The text fully develops an algorithmic approach without losing mathematical rigor.

Cohort Intelligence: A Socio-inspired Optimization Method

Author : Anand Jayant Kulkarni
Publisher : Springer
ISBN 13 : 3319442546
Total Pages : 140 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Cohort Intelligence: A Socio-inspired Optimization Method by : Anand Jayant Kulkarni

Download or read book Cohort Intelligence: A Socio-inspired Optimization Method written by Anand Jayant Kulkarni and published by Springer. This book was released on 2016-09-22 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Volume discusses the underlying principles and analysis of the different concepts associated with an emerging socio-inspired optimization tool referred to as Cohort Intelligence (CI). CI algorithms have been coded in Matlab and are freely available from the link provided inside the book. The book demonstrates the ability of CI methodology for solving combinatorial problems such as Traveling Salesman Problem and Knapsack Problem in addition to real world applications from the healthcare, inventory, supply chain optimization and Cross-Border transportation. The inherent ability of handling constraints based on probability distribution is also revealed and proved using these problems.

Elements of Programming Interviews

Author : Adnan Aziz
Publisher : EPI
ISBN 13 : 1479274836
Total Pages : 530 pages
Book Rating : 4.4/5 (792 download)

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Book Synopsis Elements of Programming Interviews by : Adnan Aziz

Download or read book Elements of Programming Interviews written by Adnan Aziz and published by EPI. This book was released on 2012 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of EPI is a collection of over 300 problems with detailed solutions, including 100 figures, 250 tested programs, and 150 variants. The problems are representative of questions asked at the leading software companies. The book begins with a summary of the nontechnical aspects of interviewing, such as common mistakes, strategies for a great interview, perspectives from the other side of the table, tips on negotiating the best offer, and a guide to the best ways to use EPI. The technical core of EPI is a sequence of chapters on basic and advanced data structures, searching, sorting, broad algorithmic principles, concurrency, and system design. Each chapter consists of a brief review, followed by a broad and thought-provoking series of problems. We include a summary of data structure, algorithm, and problem solving patterns.

Introduction To Algorithms

Author : Thomas H Cormen
Publisher : MIT Press
ISBN 13 : 9780262032933
Total Pages : 1216 pages
Book Rating : 4.0/5 (329 download)

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Book Synopsis Introduction To Algorithms by : Thomas H Cormen

Download or read book Introduction To Algorithms written by Thomas H Cormen and published by MIT Press. This book was released on 2001 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms.

Optimization Methods and Applications

Author : Xiao-qi Yang
Publisher : Springer Science & Business Media
ISBN 13 : 147573333X
Total Pages : 439 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Optimization Methods and Applications by : Xiao-qi Yang

Download or read book Optimization Methods and Applications written by Xiao-qi Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Foundations of Algorithms

Author : Richard E. Neapolitan
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763782505
Total Pages : 647 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Foundations of Algorithms by : Richard E. Neapolitan

Download or read book Foundations of Algorithms written by Richard E. Neapolitan and published by Jones & Bartlett Learning. This book was released on 2011 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Structures & Theory of Computation

Integer Programming and Combinatorial Optimization

Author : Egon Balas
Publisher : Springer Science & Business Media
ISBN 13 : 9783540594086
Total Pages : 486 pages
Book Rating : 4.5/5 (94 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Egon Balas

Download or read book Integer Programming and Combinatorial Optimization written by Egon Balas and published by Springer Science & Business Media. This book was released on 1995-05-17 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optimistic predictions of a number of microbiologists notwithstanding, the past decade has not signaled the end of infectious disease, but rather an introduction to a host of new and complex microorganisms and their resulting depredations on humanity. The identification of new pathogens, such as the causative agent of Lyme disease and the Human Immuno-deficiency Virus (HIV), as well as the Hepatitis Delta Virus (HDV) has not only revealed new forms of clinical pathology, but new and unexpected variations on the life cycle and the molecular biology of the pathogens. In this volume a number of the leaders in the field of Hepatitis Delta virus research, ranging from clinicians and virologists to molecular biologists and biochemists describe what in their experience typifies some of these unique features.

Applied Dynamic Programming

Author : Richard E. Bellman
Publisher : Princeton University Press
ISBN 13 : 1400874653
Total Pages : 389 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Applied Dynamic Programming by : Richard E. Bellman

Download or read book Applied Dynamic Programming written by Richard E. Bellman and published by Princeton University Press. This book was released on 2015-12-08 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study of dynamic programming applied to numerical solution of optimization problems. It will interest aerodynamic, control, and industrial engineers, numerical analysts, and computer specialists, applied mathematicians, economists, and operations and systems analysts. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Advanced Algorithms and Data Structures

Author : Marcello La Rocca
Publisher : Simon and Schuster
ISBN 13 : 1638350221
Total Pages : 768 pages
Book Rating : 4.6/5 (383 download)

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Book Synopsis Advanced Algorithms and Data Structures by : Marcello La Rocca

Download or read book Advanced Algorithms and Data Structures written by Marcello La Rocca and published by Simon and Schuster. This book was released on 2021-08-10 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Algorithms and Data Structures introduces a collection of algorithms for complex programming challenges in data analysis, machine learning, and graph computing. Summary As a software engineer, you’ll encounter countless programming challenges that initially seem confusing, difficult, or even impossible. Don’t despair! Many of these “new” problems already have well-established solutions. Advanced Algorithms and Data Structures teaches you powerful approaches to a wide range of tricky coding challenges that you can adapt and apply to your own applications. Providing a balanced blend of classic, advanced, and new algorithms, this practical guide upgrades your programming toolbox with new perspectives and hands-on techniques. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Can you improve the speed and efficiency of your applications without investing in new hardware? Well, yes, you can: Innovations in algorithms and data structures have led to huge advances in application performance. Pick up this book to discover a collection of advanced algorithms that will make you a more effective developer. About the book Advanced Algorithms and Data Structures introduces a collection of algorithms for complex programming challenges in data analysis, machine learning, and graph computing. You’ll discover cutting-edge approaches to a variety of tricky scenarios. You’ll even learn to design your own data structures for projects that require a custom solution. What's inside Build on basic data structures you already know Profile your algorithms to speed up application Store and query strings efficiently Distribute clustering algorithms with MapReduce Solve logistics problems using graphs and optimization algorithms About the reader For intermediate programmers. About the author Marcello La Rocca is a research scientist and a full-stack engineer. His focus is on optimization algorithms, genetic algorithms, machine learning, and quantum computing. Table of Contents 1 Introducing data structures PART 1 IMPROVING OVER BASIC DATA STRUCTURES 2 Improving priority queues: d-way heaps 3 Treaps: Using randomization to balance binary search trees 4 Bloom filters: Reducing the memory for tracking content 5 Disjoint sets: Sub-linear time processing 6 Trie, radix trie: Efficient string search 7 Use case: LRU cache PART 2 MULTIDEMENSIONAL QUERIES 8 Nearest neighbors search 9 K-d trees: Multidimensional data indexing 10 Similarity Search Trees: Approximate nearest neighbors search for image retrieval 11 Applications of nearest neighbor search 12 Clustering 13 Parallel clustering: MapReduce and canopy clustering PART 3 PLANAR GRAPHS AND MINIMUM CROSSING NUMBER 14 An introduction to graphs: Finding paths of minimum distance 15 Graph embeddings and planarity: Drawing graphs with minimal edge intersections 16 Gradient descent: Optimization problems (not just) on graphs 17 Simulated annealing: Optimization beyond local minima 18 Genetic algorithms: Biologically inspired, fast-converging optimization

Algorithms and Computation

Author : Kam W. Ng
Publisher : Springer Science & Business Media
ISBN 13 : 9783540575689
Total Pages : 566 pages
Book Rating : 4.5/5 (756 download)

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Book Synopsis Algorithms and Computation by : Kam W. Ng

Download or read book Algorithms and Computation written by Kam W. Ng and published by Springer Science & Business Media. This book was released on 1993-11-26 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the fourth annual International Symposium on Algorithms and Computation, held in Hong Kong in December 1993.Numerous selected papers present original research in such areas as design and analysis of algorithms, computational complexity, and theory of computation. Topics covered include: - automata, languages, and computability, - combinatorial, graph, geometric, and randomized algorithms, - networks and distributed algorithms, - VLSIand parallel algorithms, - theory of learning and robotics, - number theory and robotics. Three invited papers are also included.

Adaptive Dynamic Programming: Single and Multiple Controllers

Author : Ruizhuo Song
Publisher : Springer
ISBN 13 : 9811317127
Total Pages : 278 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Adaptive Dynamic Programming: Single and Multiple Controllers by : Ruizhuo Song

Download or read book Adaptive Dynamic Programming: Single and Multiple Controllers written by Ruizhuo Song and published by Springer. This book was released on 2018-12-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a class of novel optimal control methods and games schemes based on adaptive dynamic programming techniques. For systems with one control input, the ADP-based optimal control is designed for different objectives, while for systems with multi-players, the optimal control inputs are proposed based on games. In order to verify the effectiveness of the proposed methods, the book analyzes the properties of the adaptive dynamic programming methods, including convergence of the iterative value functions and the stability of the system under the iterative control laws. Further, to substantiate the mathematical analysis, it presents various application examples, which provide reference to real-world practices.

Ant Colony Optimization

Author : Marco Dorigo
Publisher : MIT Press
ISBN 13 : 9780262042192
Total Pages : 324 pages
Book Rating : 4.0/5 (421 download)

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Book Synopsis Ant Colony Optimization by : Marco Dorigo

Download or read book Ant Colony Optimization written by Marco Dorigo and published by MIT Press. This book was released on 2004-06-04 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the rapidly growing field of ant colony optimization that describes theoretical findings, the major algorithms, and current applications. The complex social behaviors of ants have been much studied by science, and computer scientists are now finding that these behavior patterns can provide models for solving difficult combinatorial optimization problems. The attempt to develop algorithms inspired by one aspect of ant behavior, the ability to find what computer scientists would call shortest paths, has become the field of ant colony optimization (ACO), the most successful and widely recognized algorithmic technique based on ant behavior. This book presents an overview of this rapidly growing field, from its theoretical inception to practical applications, including descriptions of many available ACO algorithms and their uses. The book first describes the translation of observed ant behavior into working optimization algorithms. The ant colony metaheuristic is then introduced and viewed in the general context of combinatorial optimization. This is followed by a detailed description and guide to all major ACO algorithms and a report on current theoretical findings. The book surveys ACO applications now in use, including routing, assignment, scheduling, subset, machine learning, and bioinformatics problems. AntNet, an ACO algorithm designed for the network routing problem, is described in detail. The authors conclude by summarizing the progress in the field and outlining future research directions. Each chapter ends with bibliographic material, bullet points setting out important ideas covered in the chapter, and exercises. Ant Colony Optimization will be of interest to academic and industry researchers, graduate students, and practitioners who wish to learn how to implement ACO algorithms.

Algorithms

Author : Sanjoy Dasgupta
Publisher : McGraw-Hill Higher Education
ISBN 13 : 0077388496
Total Pages : 338 pages
Book Rating : 4.0/5 (773 download)

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Book Synopsis Algorithms by : Sanjoy Dasgupta

Download or read book Algorithms written by Sanjoy Dasgupta and published by McGraw-Hill Higher Education. This book was released on 2006 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, extensively class-tested over a decade at UC Berkeley and UC San Diego, explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. Features include:The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated. Carefully chosen advanced topics that can be skipped in a standard one-semester course but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence.An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. In addition to the text DasGupta also offers a Solutions Manual which is available on the Online Learning Center."Algorithms is an outstanding undergraduate text equally informed by the historical roots and contemporary applications of its subject. Like a captivating novel it is a joy to read." Tim Roughgarden Stanford University

Phase Transitions in Combinatorial Optimization Problems

Author : Alexander K. Hartmann
Publisher : John Wiley & Sons
ISBN 13 : 3527606866
Total Pages : 360 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Phase Transitions in Combinatorial Optimization Problems by : Alexander K. Hartmann

Download or read book Phase Transitions in Combinatorial Optimization Problems written by Alexander K. Hartmann and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, comprehensive introduction to the topic of statistical physics of combinatorial optimization, bringing together theoretical concepts and algorithms from computer science with analytical methods from physics. The result bridges the gap between statistical physics and combinatorial optimization, investigating problems taken from theoretical computing, such as the vertex-cover problem, with the concepts and methods of theoretical physics. The authors cover rapid developments and analytical methods that are both extremely complex and spread by word-of-mouth, providing all the necessary basics in required detail. Throughout, the algorithms are shown with examples and calculations, while the proofs are given in a way suitable for graduate students, post-docs, and researchers. Ideal for newcomers to this young, multidisciplinary field.

Sequential and Parallel Algorithms and Data Structures

Author : Peter Sanders
Publisher : Springer Nature
ISBN 13 : 3030252094
Total Pages : 516 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Sequential and Parallel Algorithms and Data Structures by : Peter Sanders

Download or read book Sequential and Parallel Algorithms and Data Structures written by Peter Sanders and published by Springer Nature. This book was released on 2019-08-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a concise introduction to the basic toolbox of structures that allow efficient organization and retrieval of data, key algorithms for problems on graphs, and generic techniques for modeling, understanding, and solving algorithmic problems. The authors aim for a balance between simplicity and efficiency, between theory and practice, and between classical results and the forefront of research. Individual chapters cover arrays and linked lists, hash tables and associative arrays, sorting and selection, priority queues, sorted sequences, graph representation, graph traversal, shortest paths, minimum spanning trees, optimization, collective communication and computation, and load balancing. The authors also discuss important issues such as algorithm engineering, memory hierarchies, algorithm libraries, and certifying algorithms. Moving beyond the sequential algorithms and data structures of the earlier related title, this book takes into account the paradigm shift towards the parallel processing required to solve modern performance-critical applications and how this impacts on the teaching of algorithms. The book is suitable for undergraduate and graduate students and professionals familiar with programming and basic mathematical language. Most chapters have the same basic structure: the authors discuss a problem as it occurs in a real-life situation, they illustrate the most important applications, and then they introduce simple solutions as informally as possible and as formally as necessary so the reader really understands the issues at hand. As they move to more advanced and optional issues, their approach gradually leads to a more mathematical treatment, including theorems and proofs. The book includes many examples, pictures, informal explanations, and exercises, and the implementation notes introduce clean, efficient implementations in languages such as C++ and Java.