the traveling salesman problem a computational study princeton series in applied mathematics

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The Traveling Salesman Problem

Author : David L. Applegate
ISBN : 9781400841103
Genre : Mathematics
File Size : 30. 84 MB
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This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

In Pursuit Of The Traveling Salesman

Author : William Cook
ISBN : 9780691152707
Genre : Mathematics
File Size : 66. 8 MB
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Covers the history, applications, theory, and computation of the traveling salesman problem right up to state-of-the-art solution machinery.

Combinations Of Intelligent Methods And Applications

Author : Ioannis Hatzilygeroudis
ISBN : 9783319268606
Genre : Computers
File Size : 67. 39 MB
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This volume includes extended and revised versions of the papers presented at the 4th Workshop on “Combinations of Intelligent Methods and Applications” (CIMA 2014) which was intended to become a forum for exchanging experience and ideas among researchers and practitioners dealing with combinations of different intelligent methods in Artificial Intelligence. The aim is to create integrated or hybrid methods that benefit from each of their components. Some of the existing presented efforts combine soft computing methods (fuzzy logic, neural networks and genetic algorithms). Another stream of efforts integrates case-based reasoning or machine learning with soft-computing methods. Some of the combinations have been more widely explored, like neuro-symbolic methods, neuro-fuzzy methods and methods combining rule-based and case-based reasoning. CIMA 2014 was held in conjunction with the 26th IEEE International Conference on Tools with Artificial Intelligence (ICTAI 2014).

Gewissensbisse

Author : Rainer Erlinger
ISBN : 9783104007526
Genre : Self-Help
File Size : 28. 24 MB
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Sind Wettschulden immer Ehrenschulden? Ist es in Ordnung, Fristen bis aufs Letzte auszureizen? Ist es unpatriotisch, bei einer WM-Wette gegen Deutschland zu setzen? Darf man Kinder von Freunden im Auto auf schlechtere Kindersitze setzen als die eigenen? Seit zehn Jahren gibt Dr. Dr. Rainer Erlinger jede Woche in seiner Kolumne »Die Gewissensfrage« Rat für die alltäglichen Moralprobleme: immer fundiert, immer konkret, immer verständlich. Hier ist eine Auswahl der wichtigsten Fragen und Ratschläge versammelt – zum Selberlesen oder zum Verschenken.

Grundkurs Informatik

Author : Hartmut Ernst
ISBN : 9783658016289
Genre : Computers
File Size : 74. 17 MB
Format : PDF
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Das Buch bietet eine umfassende und praxisorientierte Einführung in die wesentlichen Grundlagen und Konzepte der Informatik. Es umfasst den Stoff, der typischerweise in den ersten Semestern eines Informatikstudiums vermittelt wird, vertieft Zusammenhänge, die darüber hinausgehen und macht sie verständlich. Die Themenauswahl orientiert sich an der langfristigen Relevanz für die praktische Anwendung. Praxisnah und aktuell werden die Inhalte für Studierende der Informatik und verwandter Studiengänge sowie für im Beruf stehende Praktiker vermittelt. Die vorliegende fünfte Auflage wurde grundlegend überarbeitet und aktualisiert.

Covering Walks In Graphs

Author : Futaba Fujie
ISBN : 9781493903054
Genre : Mathematics
File Size : 56. 78 MB
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Covering Walks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs. This text looks into the famous Kӧnigsberg Bridge Problem, the Chinese Postman Problem, the Icosian Game and the Traveling Salesman Problem as well as well-known mathematicians who were involved in these problems. The concepts of different spanning walks with examples and present classical results on Hamiltonian numbers and upper Hamiltonian numbers of graphs are described; in some cases, the authors provide proofs of these results to illustrate the beauty and complexity of this area of research. Two new concepts of traceable numbers of graphs and traceable numbers of vertices of a graph which were inspired by and closely related to Hamiltonian numbers are introduced. Results are illustrated on these two concepts and the relationship between traceable concepts and Hamiltonian concepts are examined. Describes several variations of traceable numbers, which provide new frame works for several well-known Hamiltonian concepts and produce interesting new results.

Combinatorial Search From Algorithms To Systems

Author : Youssef Hamadi
ISBN : 9783642414824
Genre : Computers
File Size : 51. 71 MB
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Although they are believed to be unsolvable in general, tractability results suggest that some practical NP-hard problems can be efficiently solved. Combinatorial search algorithms are designed to efficiently explore the usually large solution space of these instances by reducing the search space to feasible regions and using heuristics to efficiently explore these regions. Various mathematical formalisms may be used to express and tackle combinatorial problems, among them the constraint satisfaction problem (CSP) and the propositional satisfiability problem (SAT). These algorithms, or constraint solvers, apply search space reduction through inference techniques, use activity-based heuristics to guide exploration, diversify the searches through frequent restarts, and often learn from their mistakes. In this book the author focuses on knowledge sharing in combinatorial search, the capacity to generate and exploit meaningful information, such as redundant constraints, heuristic hints, and performance measures, during search, which can dramatically improve the performance of a constraint solver. Information can be shared between multiple constraint solvers simultaneously working on the same instance, or information can help achieve good performance while solving a large set of related instances. In the first case, information sharing has to be performed at the expense of the underlying search effort, since a solver has to stop its main effort to prepare and commu nicate the information to other solvers; on the other hand, not sharing information can incur a cost for the whole system, with solvers potentially exploring unfeasible spaces discovered by other solvers. In the second case, sharing performance measures can be done with little overhead, and the goal is to be able to tune a constraint solver in relation to the characteristics of a new instance – this corresponds to the selection of the most suitable algorithm for solving a given instance. The book is suitable for researchers, practitioners, and graduate students working in the areas of optimization, search, constraints, and computational complexity.

Topics In Quaternion Linear Algebra

Author : Leiba Rodman
ISBN : 9781400852741
Genre : Mathematics
File Size : 25. 39 MB
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Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

Grundlagen Der Mathematik F 1 4r Dummies

Author : Mark Zegarelli
ISBN : 9783527699353
Genre : Mathematics
File Size : 37. 76 MB
Format : PDF
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Mathematik ist nicht jedermanns Sache und oft sind es gerade die Grundlagen, die fehlen: Wie berechnet man nochmal den Umfang eines Kreises? Wieviel Geld spare ich bei 30 % Rabatt? Und wie geht man Textaufgaben eigentlich richtig an? Fragen ï¿1⁄2ber Fragen - die Antworten finden Sie in diesem Buch. Egal ob Bruch- oder Prozentrechnung, Geometrie, Algebra, Wahrscheinlichkeitsrechnung oder Statistik, Mark Zegarelli erklï¿1⁄2rt es Ihnen einfach, mit Humor und immer schnell auf den Punkt. Frischen Sie Ihr Wissen auf, lernen Sie die Grundlagen der Mathematik und werden Sie ruckzuck zum Mathe-Ass.

Vishnus Tod

Author : Manil Suri
ISBN : 3442740363
Genre : Bombay - Mietshaus - Bewohner - Belletristische Darstellung
File Size : 83. 55 MB
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