Arc Routing

Theory, Solutions and Applications
2000
ISBN: 978-0-7923-7898-3
Verlag: Springer US

Buch, Englisch, 483 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1980 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Dror, Moshe

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1 A Historical Perspective on Arc Routing.- 1.1 Introduction.- 1.2 The Chinese Postman Problem.- 1.3 The Rural Postman Problem.- 1.4 The Capacitated Arc Routing Problem.- 1.5 Research Outlooks.- I Theory.- 2 Traversing Graphs: The Eulerian and Hamiltonian Theme.- 3 Matching: Arc Routing and the Solution Connection.- 4 Arc Routing: Complexity and Approximability.- 5 Chinese Postman and Euler Tour Problems in Bi-directed Graphs.- II Solutions.- 6 Polyhedral Theory for Arc Routing Problems.- 7 Linear Programming Based Methods for Solving Arc Routing Problems.- 8 Transformations and Exact Node Routing Solutions by Column Generation.- 9 Heuristic Algorithms.- III Applications.- 10 Roadway Snow and Ice Control.- 11 Scheduling of Local Delivery Carrier Routes for the United States Postal Service.- 12 Livestock Feed Distribution and Arc Traversal Problems.