
Locating Lines and Hyperplanes
Theory and Algorithms
Anita Schöbel(Author)
Springer (Publisher)
Published on 27. November 2013
Book
Paperback/Softback
XII, 200 pages
978-1-4613-7428-2 (ISBN)
Description
Line and hyperplane location problems play an important role not only in operations research and location theory, but also in computational geometry and robust statistics. This book provides a survey on line and hyperplane location combining analytical and geometrical methods. The major portion of the text presents new results on this topic, including the extension of some special cases to all distances derived from norms and a discussion of restricted problems in the plane. Almost all results are proven in the text and most of them are illustrated by examples. Furthermore, relations to classical facility location and to problems in computational geometry are pointed out.
Audience: The book is suitable for researchers, lecturers, and graduate students working in the fields of location theory or computational geometry.
Audience: The book is suitable for researchers, lecturers, and graduate students working in the fields of location theory or computational geometry.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1999
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XII, 200 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
335 gr
ISBN-13
978-1-4613-7428-2 (9781461374282)
DOI
10.1007/978-1-4615-5321-2
Schweitzer Classification
Other editions
Additional editions

Book
02/1999
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Content
Preface. 1. Basic Concepts. 2. Line Locaton with Vertical Distance. 3. Locating Lines in the Normed Plane. 4. Finding All Optimal Lines. 5. Line Location With Other Distances. 6. Restricted Line Location Problems. 7. Locating Hyperplanes in Normed Spaces. 8. Extensions: Locating Other Objects. Appendices: A: Summary. B: List of Algorithms. C: List of Symbols. References. Index.