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In pursuit of the traveling salesman- [electronic resource] : mathematics at the limits of computation
In pursuit of the traveling salesman- [electronic resource] : mathematics at the limits of computation
상세정보
- 자료유형
- 단행본
- International Standard Book Number
- 9781400839599 (electronic bk.)
- International Standard Book Number
- 1400839599 (electronic bk.)
- International Standard Book Number
- 0691152705
- International Standard Book Number
- 9780691152707
- Library of Congress Call Number
- QA164-.C69 2012eb
- Dewey Decimal Classification Number
- 511/.5-23
- Main Entry-Personal Name
- Cook, William , 1957-
- Publication, Distribution, etc. (Imprint
- Princeton : Princeton University Press, 2012
- Physical Description
- 1 online resource (xiii, 228 p) : ill. (some col.), col. maps.
- Bibliography, Etc. Note
- Includes bibliographical references and index.
- Formatted Contents Note
- 완전내용Challenges. Tour of the United States -- An impossible task? -- One problem at a time -- Road map of the book -- Origins of the problem. Before the mathematicians -- Euler and Hamilton -- Vienna to Harvard to Princeton -- And on to the RAND Corporation -- A statistical view -- The salesman in action. Road trips -- Mapping genomes -- Aiming telescopes, x-rays, and lasers -- Guiding industrial machines -- Organizing data -- Tests for microprocessors -- Scheduling jobs -- And more -- Searching for a tour. The 48-states problem -- Growing trees and tours -- Alterations while you wait -- Borrowing from physics and biology -- The DIMACS challenge -- Tour champions -- Linear programming. General-purpose model -- The simplex algorithm -- Two for the price of one: LP duality -- The degree LP relaxation of the TSP -- Eliminating subtours -- A perfect relaxation -- Integer programming -- Operations research -- Cutting planes. The cutting-plane method -- A catalog of TSP inequalities -- The separation problem -- Edmonds's glimpse of heaven -- Cutting planes for integer programming -- Branching. Breaking up -- The search party -- Branch-and-bound for integer programming -- Big computing. World records -- The TSP on a grand scale -- Complexity. A model of computation -- The campaign of Jack Edmonds -- Cook's theorem and Karp's list -- State of the TSP -- Do we need computers? -- The human touch. Humans versus computers -- Tour-finding strategies -- The TSP in neuroscience -- Animals solving the TSP -- Aesthetics -- Julian Lethbridge -- Jordan curves -- Continuous lines -- Art and mathematics -- Pushing the limits.
- Summary, Etc.
- 요약"What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin? It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics--and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W.R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. Cook examines the origins and history of the salesman problem and explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets. He looks at how computers stack up against the traveling salesman problem on a grand scale, and discusses how humans, unaided by computers, go about trying to solve the puzzle. Cook traces the salesman problem to the realms of neuroscience, psychology, and art, and he also challenges readers to tackle the problem themselves. The traveling salesman problem is--literally--a $1 million question. That's the prize the Clay Mathematics Institute is offering to anyone who can solve the problem or prove that it can't be done. In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem"--해제Provided by publisher.
- Subject Added Entry-Topical Term
- Traveling salesman problem
- Subject Added Entry-Topical Term
- Computational complexity
- Subject Added Entry-Topical Term
- MATHEMATICS Graphic Methods.
- Subject Added Entry-Topical Term
- MATHEMATICS / General.
- Subject Added Entry-Topical Term
- Computational complexity.
- Subject Added Entry-Topical Term
- Traveling salesman problem.
- Additional Physical Form Entry
- Print version. 9780691152707. (DLC) 2011030626
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:423370
MARC
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■1001 ▼aCook, William▼d1957-
■24510▼aIn pursuit of the traveling salesman▼h[electronic resource] ▼bmathematics at the limits of computation▼dWilliam J. Cook
■260 ▼aPrinceton▼bPrinceton University Press▼c2012
■300 ▼a1 online resource (xiii, 228 p) ▼bill. (some col.), col. maps.
■504 ▼aIncludes bibliographical references and index.
■5050 ▼aChallenges. Tour of the United States -- An impossible task? -- One problem at a time -- Road map of the book -- Origins of the problem. Before the mathematicians -- Euler and Hamilton -- Vienna to Harvard to Princeton -- And on to the RAND Corporation -- A statistical view -- The salesman in action. Road trips -- Mapping genomes -- Aiming telescopes, x-rays, and lasers -- Guiding industrial machines -- Organizing data -- Tests for microprocessors -- Scheduling jobs -- And more -- Searching for a tour. The 48-states problem -- Growing trees and tours -- Alterations while you wait -- Borrowing from physics and biology -- The DIMACS challenge -- Tour champions -- Linear programming. General-purpose model -- The simplex algorithm -- Two for the price of one: LP duality -- The degree LP relaxation of the TSP -- Eliminating subtours -- A perfect relaxation -- Integer programming -- Operations research -- Cutting planes. The cutting-plane method -- A catalog of TSP inequalities -- The separation problem -- Edmonds's glimpse of heaven -- Cutting planes for integer programming -- Branching. Breaking up -- The search party -- Branch-and-bound for integer programming -- Big computing. World records -- The TSP on a grand scale -- Complexity. A model of computation -- The campaign of Jack Edmonds -- Cook's theorem and Karp's list -- State of the TSP -- Do we need computers? -- The human touch. Humans versus computers -- Tour-finding strategies -- The TSP in neuroscience -- Animals solving the TSP -- Aesthetics -- Julian Lethbridge -- Jordan curves -- Continuous lines -- Art and mathematics -- Pushing the limits.
■520 ▼a"What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin? It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics--and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W.R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. Cook examines the origins and history of the salesman problem and explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets. He looks at how computers stack up against the traveling salesman problem on a grand scale, and discusses how humans, unaided by computers, go about trying to solve the puzzle. Cook traces the salesman problem to the realms of neuroscience, psychology, and art, and he also challenges readers to tackle the problem themselves. The traveling salesman problem is--literally--a $1 million question. That's the prize the Clay Mathematics Institute is offering to anyone who can solve the problem or prove that it can't be done. In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem"--▼cProvided by publisher.
■650 0▼aTraveling salesman problem
■650 0▼aComputational complexity
■650 7▼aMATHEMATICS▼xGraphic Methods.▼2bisacsh
■650 7▼aMATHEMATICS / General.▼2bisacsh
■650 7▼aComputational complexity.▼2fast▼0(OCoLC)fst00871991
■650 7▼aTraveling salesman problem.▼2fast▼0(OCoLC)fst01155795
■655 4▼aElectronic books.
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