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Solving Hard Knapsack Problems
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Book Synopsis Solving Hard Knapsack Problems by : David Pisinger
Download or read book Solving Hard Knapsack Problems written by David Pisinger and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Although several good algorithms have been developed for solving the binary Knapsack Problem, none of these are able to solve strongly correlated data instances with large coefficients. In this paper we present an algorithm particularly well suited for hard data instances, which combines the best ideas from recent research in the area. The enumeration algorithm is based on decomposing the problem into n parts, which successively are merged two by two. The merging is strictly local, but tight upper and lower bounds are determined by taking advantage of the enumeration in other sets, thus allowing us to fathom inferior states. Computational experiments indicate an exceptionally good behavior for hard data instances with large coeficients. Chvátal-type data instances with more than 50 items have been solved, although it was claimed that this would be impossible. Moreover the so-called strongly correlated data instances of large size are solved easily. The algorithm is highly parallel, and it is briefly described how it may be implemented on parallel computers."
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.
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.
Book Synopsis Advances in Cryptology – EUROCRYPT 2010 by : Henri Gilbert
Download or read book Advances in Cryptology – EUROCRYPT 2010 written by Henri Gilbert and published by Springer. This book was released on 2010-05-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of Eurocrypt 2010, the 29th in the series of Eu- pean conferences on the Theory and Application of Cryptographic Techniques. The conference was sponsored by the International Association for Cryptologic Research and held on the French Riviera, May 30–June 3, 2010. A total of 191 papers were received of which 188 were retained as valid submissions. These were each assigned to at least three Program Committee members and a total of 606 review reports were produced. The printed record of the reviews and extensive online discussions that followed would be almost as voluminous as these proceedings. In the end 35 submissions were accepted with twosubmissionpairsbeingmergedtogive33paperspresentedattheconference. The ?nal papers in these proceedings were not subject to a second review before publication and the authors are responsible for their contents. The ProgramCommittee, listed on the next page, deservesparticular thanks for all their hard work, their outstanding expertise, and their constant c- mitment to all aspects of the evaluation process. These thanks are of course extended to the very many external reviewers who took the time to help out during the evaluation process.It was also a greatpleasure to honor and welcome Moti Yung who gave the 2010 IACR Distinguished Lecture.
Book Synopsis New Trends in Exact Algorithms for the 0-1 Knapsack Problem by : Silvano Martello
Download or read book New Trends in Exact Algorithms for the 0-1 Knapsack Problem written by Silvano Martello and published by . This book was released on 1997 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "While the 1980s were focused on the solution of large sized 'easy' knapsack problems, this decade has brought several new algorithms, which are able to solve 'hard' large sized instances. We will give an overview of the recent techniques for solving hard knapsack problems, with special emphasis on the addition of cardinality constraints, dynamical programming, and rudimentary divisibility. Computational results, comparing all recent algorithms, are presented."
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.
Book Synopsis Handbook of Global Optimization by : Panos M. Pardalos
Download or read book Handbook of Global Optimization written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1995 the Handbook of Global Optimization (first volume), edited by R. Horst, and P.M. Pardalos, was published. This second volume of the Handbook of Global Optimization is comprised of chapters dealing with modern approaches to global optimization, including different types of heuristics. Topics covered in the handbook include various metaheuristics, such as simulated annealing, genetic algorithms, neural networks, taboo search, shake-and-bake methods, and deformation methods. In addition, the book contains chapters on new exact stochastic and deterministic approaches to continuous and mixed-integer global optimization, such as stochastic adaptive search, two-phase methods, branch-and-bound methods with new relaxation and branching strategies, algorithms based on local optimization, and dynamical search. Finally, the book contains chapters on experimental analysis of algorithms and software, test problems, and applications.
Book Synopsis Hard Knapsack Problems by : Vasek Chvátal
Download or read book Hard Knapsack Problems written by Vasek Chvátal and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Algorithms For Knapsack Type Problems by : Vassil N Aleksandrov
Download or read book Parallel Algorithms For Knapsack Type Problems written by Vassil N Aleksandrov and published by World Scientific. This book was released on 1999-06-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together current research direction in the mapping of dynamic programming recurrence equations for Knapsack Type problems, which include Unbounded Knapsack Problem, 0/1 Knapsack Problem, Subset Sum Problem, Change Making Problem, onto so-called regular parallel architectures. In particular, it focuses on heuristic and more formal techniques for mapping. The text is based on substantially revised papers published by the authors and their colleagues in the literature but re-written to provide an overall view of the subject area.
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.
Book Synopsis Algorithms for Knapsack Problems by : David Pisinger
Download or read book Algorithms for Knapsack Problems written by David Pisinger and published by . This book was released on 1995 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This thesis considers a family of combinatorial problems known under the name Knapsack Problems. As all the problems are NP-hard we are searching for exact solution techniques having reasonable solution times for nearly all instances encountered in practice, despite having exponential time bounds for a number of highly contrived problem instances. A similar behavior is known from the Simplex algorithm, which despite its exponential worst-case behavior has reasonable solution times for all realistic problems. A promising approach for solving Knapsack Problems is to develop algorithms where the worst-case complexity is bounded by some appropriate measure of the 'hardness' of a problem, e.g. the magnitude of the coefficients, the number of undominated items, or the number of variables where the integer solution differs from the continuous solution. Although such bounds in the worst case degenerate to exponential solution times, they allow us to segregate several groups of easily solvable instances. The approach has been applied to several problem types within the Knapsack family, and thorough computational experiments document the attractive properties of the algorithms developed. Most of the exact algorithms have linear solution times for easy instances, while hard instances generally may be solved in pseudo-polynomial time."
Book Synopsis The Algorithmic Resolution of Diophantine Equations by : Nigel P. Smart
Download or read book The Algorithmic Resolution of Diophantine Equations written by Nigel P. Smart and published by Cambridge University Press. This book was released on 1998-11-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent account of the computational methods used to solve diophantine equations.
Book Synopsis Recent Trends in Wireless and Mobile Networks by : Abdulkadir Özcan
Download or read book Recent Trends in Wireless and Mobile Networks written by Abdulkadir Özcan and published by Springer Science & Business Media. This book was released on 2011-06-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Wireless, Mobile Networks, WiMo 2011, and of The Third International Conference on Computer Networks and Communications, CoNeCo 2011, held in Ankara, Turkey, in June 2011. The 40 revised full papers presented were carefully reviewed and selected from 202 submissions.
Book Synopsis A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems by : Hanif D. Sherali
Download or read book A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems written by Hanif D. Sherali and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.
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.
Book Synopsis Modern Discrete Mathematics and Analysis by : Nicholas J. Daras
Download or read book Modern Discrete Mathematics and Analysis written by Nicholas J. Daras and published by Springer. This book was released on 2018-07-05 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.
Book Synopsis Algorithmics for Hard Problems by : Juraj Hromkovič
Download or read book Algorithmics for Hard Problems written by Juraj Hromkovič and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic design, especially for hard problems, is more essential for success in solving them than any standard improvement of current computer tech nologies. Because of this, the design of algorithms for solving hard problems is the core of current algorithmic research from the theoretical point of view as well as from the practical point of view. There are many general text books on algorithmics, and several specialized books devoted to particular approaches such as local search, randomization, approximation algorithms, or heuristics. But there is no textbook that focuses on the design of algorithms for hard computing tasks, and that systematically explains, combines, and compares the main possibilities for attacking hard algorithmic problems. As this topic is fundamental for computer science, this book tries to close this gap. Another motivation, and probably the main reason for writing this book, is connected to education. The considered area has developed very dynami cally in recent years and the research on this topic discovered several profound results, new concepts, and new methods. Some of the achieved contributions are so fundamental that one can speak about paradigms which should be in cluded in the education of every computer science student. Unfortunately, this is very far from reality. This is because these paradigms are not sufficiently known in the computer science community, and so they are insufficiently com municated to students and practitioners.
