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Author: Edward Grady Coffman
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This volume examines two important classes that are characteristic of combinatorial optimization problems: sequencing and scheduling (in which a set of objects has to be ordered subject to a number of conditions), and packing and partitioning (in which a set of objects has to be split into subsets in order to meet a certain objective). These classes of problems encompass a wide range of practical applications, from production planning and flexible manufacturing to computer scheduling and
Author: Edward Grady Coffman
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 216
Get Book Here
Book Description
This volume examines two important classes that are characteristic of combinatorial optimization problems: sequencing and scheduling (in which a set of objects has to be ordered subject to a number of conditions), and packing and partitioning (in which a set of objects has to be split into subsets in order to meet a certain objective). These classes of problems encompass a wide range of practical applications, from production planning and flexible manufacturing to computer scheduling and
Author: Edward Grady Coffman
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 216
Get Book Here
Book Description
This volume examines two important classes that are characteristic of combinatorial optimization problems: sequencing and scheduling (in which a set of objects has to be ordered subject to a number of conditions), and packing and partitioning (in which a set of objects has to be split into subsets in order to meet a certain objective). These classes of problems encompass a wide range of practical applications, from production planning and flexible manufacturing to computer scheduling and
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309047765
Category : Mathematics
Languages : en
Pages : 189
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Book Description
Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.
Author: Ee Chien Chang
Publisher:
ISBN:
Category : Combinatorial packing and covering
Languages : en
Pages : 118
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Book Description
Author: Richard M. Karp
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
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Book Description
Author: Michel Habib
Publisher: Springer Science & Business Media
ISBN: 3662127881
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Leave nothing to chance. This cliche embodies the common belief that ran domness has no place in carefully planned methodologies, every step should be spelled out, each i dotted and each t crossed. In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact. Our intention was to bring together, for the first time, accessible discus sions of the disparate ways in which probabilistic ideas are enriching discrete mathematics. These discussions are aimed at mathematicians with a good combinatorial background but require only a passing acquaintance with the basic definitions in probability (e.g. expected value, conditional probability). A reader who already has a firm grasp on the area will be interested in the original research, novel syntheses, and discussions of ongoing developments scattered throughout the book. Some of the most convincing demonstrations of the power of these tech niques are randomized algorithms for estimating quantities which are hard to compute exactly. One example is the randomized algorithm of Dyer, Frieze and Kannan for estimating the volume of a polyhedron. To illustrate these techniques, we consider a simple related problem. Suppose S is some region of the unit square defined by a system of polynomial inequalities: Pi (x. y) ~ o.
Author: WanSoo T. Rhee
Publisher:
ISBN:
Category : Packing for shipment
Languages : en
Pages : 6
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Book Description
Author: János Csirik
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 0387238301
Category : Business & Economics
Languages : en
Pages : 395
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Book Description
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.
Author: Noga Alon
Publisher: John Wiley & Sons
ISBN: 1118210441
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Praise for the Second Edition: "Serious researchers in combinatorics or algorithm design will wish to read the book in its entirety...the book may also be enjoyed on a lighter level since the different chapters are largely independent and so it is possible to pick out gems in one's own area..." —Formal Aspects of Computing This Third Edition of The Probabilistic Method reflects the most recent developments in the field while maintaining the standard of excellence that established this book as the leading reference on probabilistic methods in combinatorics. Maintaining its clear writing style, illustrative examples, and practical exercises, this new edition emphasizes methodology, enabling readers to use probabilistic techniques for solving problems in such fields as theoretical computer science, mathematics, and statistical physics. The book begins with a description of tools applied in probabilistic arguments, including basic techniques that use expectation and variance as well as the more recent applications of martingales and correlation inequalities. Next, the authors examine where probabilistic techniques have been applied successfully, exploring such topics as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Sections labeled "The Probabilistic Lens" offer additional insights into the application of the probabilistic approach, and the appendix has been updated to include methodologies for finding lower bounds for Large Deviations. The Third Edition also features: A new chapter on graph property testing, which is a current topic that incorporates combinatorial, probabilistic, and algorithmic techniques An elementary approach using probabilistic techniques to the powerful Szemerédi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erdös-Rényi phase transition in the Random Graph Process Written by two leading authorities in the field, The Probabilistic Method, Third Edition is an ideal reference for researchers in combinatorics and algorithm design who would like to better understand the use of probabilistic methods. The book's numerous exercises and examples also make it an excellent textbook for graduate-level courses in mathematics and computer science.
