Arc Routing: Theory, Solutions and Applications is about arc traversal and the wide variety of arc routing problems, which has had its foundations in the modern graph theory work of Leonhard Euler. Arc routing methods and computation has become a fundamental optimization concept in operations research and has numerous applications in transportation, telecommunications, manufacturing, the Internet, and many other areas of modern life. The book draws from a variety of sources including the traveling salesman problem (TSP) and graph theory, which are used and studied by operations research, engineers, computer scientists, and mathematicians. In the last ten years or so, there has been extensive coverage of arc routing problems in the research literature, especially from a graph theory perspective; however, the field has not had the benefit of a uniform, systematic treatment. With this book, there is now a single volume that focuses on state-of-the-art exposition of arc routing problems, that explores its graph theoretical foundations, and that presents a number of solution methodologies in a variety of application settings. Moshe Dror has succeeded in working with an elite group of ARC routing scholars to develop the highest quality treatment of the current state-of-the-art in arc routing.
Around 1736 well known German mathematician Leonhard Euler was asked whether there was a route for a marching band that started and ended on an island by crossing the seven connecting bridges only once each. His demonstration that there was not was the foundation of arc routing, which has since become a fundamental optimization concept in operations research and found many applications in transportation, telecommunications, manufacturing, the Internet, and other areas. Scholars of business, engineering, and mathematics, most from North America and Europe, examine such topics as the Eulerian and Hamiltonian theme, complexity and approximability, polyhedral theory, transformations and exact node routing solutions by column generation, heuristic algorithms, roadway snow and ice control, postal routes, and livestock feed distribution. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface. Contributing Authors. 1. A Historical Perspective on Arc Routing; H.A. Eiselt, G. Laporte. Part I. Theory: 2. Traversing Graphs: The Eulerian and Hamiltonian Theme; h. Fleischner. 3. Matching: Arc Routing and Solution Connection; U. Derigs. 4. Arc Routing: Complexity and Approximability; M. Dror. 5. Chinese Postman and Euler Tour Problems in Bi-directed Graphs; E.L.Johnson. Part II. Solutions: 6. Polyhedral Theory for Arc Routing Problems; R.W. Eglese, A.N. Letchford. 7. Linear Programming Based Methods for Solving Arc Routing Problems; E. Benavent, et al. 8. Transformations and Exact Node Routing Solutions by Column Generation; M. Dror, A. Langevin. 9. Heuristic Algorithms; A. Hertz, M. Mittaz. Part III. Applications: 10. Roadway Snow and Ice Control; J.F. Campbell, A. Langevin. 11. Scheduling of Local Delivery Carrier Routes for the United States Postal Service; L. Bodin, L. Levy. 12. Livesk Feed Distribution and Arc Traversal Problems; M. Dror, et al.
Our reader reviews allow you to share your comments on titles you liked,
or didn't, with others. By submitting an online review, you are representing to
Barnes & Noble.com that all information contained in your review is original
and accurate in all respects, and that the submission of such content by you
and the posting of such content by Barnes & Noble.com does not and will not
violate the rights of any third party. Please follow the rules below to help
ensure that your review can be posted.
Reviews by Our Customers Under the Age of 13
We highly value and respect everyone's opinion concerning the titles we offer.
However, we cannot allow persons under the age of 13 to have accounts at BN.com or
to post customer reviews. Please see our Terms of Use for more details.
What to exclude from your review:
Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the
information on the product page, please send us an email.
Reviews should not contain any of the following:
- HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
- Time-sensitive information such as tour dates, signings, lectures, etc.
- Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
- Comments focusing on the author or that may ruin the ending for others
- Phone numbers, addresses, URLs
- Pricing and availability information or alternative ordering information
- Advertisements or commercial solicitation
Reminder:
- By submitting a review, you grant to Barnes & Noble.com and its
sublicensees the royalty-free, perpetual, irrevocable right and license to use the
review in accordance with the Barnes & Noble.com Terms of Use.
- Barnes & Noble.com reserves the right not to post any review -- particularly
those that do not follow the terms and conditions of these Rules. Barnes & Noble.com
also reserves the right to remove any review at any time without notice.
- See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend
Create a Pen Name
Welcome, penname
You have successfully created your Pen Name. Start enjoying the benefits of the BN.com Community today.
If you find inappropriate content, please report it to Barnes & Noble
More About This Textbook
Overview
Arc Routing: Theory, Solutions and Applications is about arc traversal and the wide variety of arc routing problems, which has had its foundations in the modern graph theory work of Leonhard Euler. Arc routing methods and computation has become a fundamental optimization concept in operations research and has numerous applications in transportation, telecommunications, manufacturing, the Internet, and many other areas of modern life. The book draws from a variety of sources including the traveling salesman problem (TSP) and graph theory, which are used and studied by operations research, engineers, computer scientists, and mathematicians. In the last ten years or so, there has been extensive coverage of arc routing problems in the research literature, especially from a graph theory perspective; however, the field has not had the benefit of a uniform, systematic treatment. With this book, there is now a single volume that focuses on state-of-the-art exposition of arc routing problems, that explores its graph theoretical foundations, and that presents a number of solution methodologies in a variety of application settings. Moshe Dror has succeeded in working with an elite group of ARC routing scholars to develop the highest quality treatment of the current state-of-the-art in arc routing.
Editorial Reviews
Booknews
Around 1736 well known German mathematician Leonhard Euler was asked whether there was a route for a marching band that started and ended on an island by crossing the seven connecting bridges only once each. His demonstration that there was not was the foundation of arc routing, which has since become a fundamental optimization concept in operations research and found many applications in transportation, telecommunications, manufacturing, the Internet, and other areas. Scholars of business, engineering, and mathematics, most from North America and Europe, examine such topics as the Eulerian and Hamiltonian theme, complexity and approximability, polyhedral theory, transformations and exact node routing solutions by column generation, heuristic algorithms, roadway snow and ice control, postal routes, and livestock feed distribution. Annotation c. Book News, Inc., Portland, OR (booknews.com)Product Details
Related Subjects
Table of Contents
Preface. Contributing Authors. 1. A Historical Perspective on Arc Routing; H.A. Eiselt, G. Laporte. Part I. Theory: 2. Traversing Graphs: The Eulerian and Hamiltonian Theme; h. Fleischner. 3. Matching: Arc Routing and Solution Connection; U. Derigs. 4. Arc Routing: Complexity and Approximability; M. Dror. 5. Chinese Postman and Euler Tour Problems in Bi-directed Graphs; E.L.Johnson. Part II. Solutions: 6. Polyhedral Theory for Arc Routing Problems; R.W. Eglese, A.N. Letchford. 7. Linear Programming Based Methods for Solving Arc Routing Problems; E. Benavent, et al. 8. Transformations and Exact Node Routing Solutions by Column Generation; M. Dror, A. Langevin. 9. Heuristic Algorithms; A. Hertz, M. Mittaz. Part III. Applications: 10. Roadway Snow and Ice Control; J.F. Campbell, A. Langevin. 11. Scheduling of Local Delivery Carrier Routes for the United States Postal Service; L. Bodin, L. Levy. 12. Livesk Feed Distribution and Arc Traversal Problems; M. Dror, et al.