Locating Median Lines And Hyperplanes With A Restriction On The Slope
Download Locating Median Lines And Hyperplanes With A Restriction On The Slope PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Locating Median Lines And Hyperplanes With A Restriction On The Slope book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Locating Median Lines and Hyperplanes with a Restriction on the Slope
In this thesis, we consider the location of median lines when there is a restriction on the slope of the line to locate as well as the more general location of median hyperplanes when there is a restriction on the slope vector of the hyperplane to locate. We are given a set of existing facilities in R^2 or R^n and we are searching for a new facility that is a line or a hyperplane, respectively, minimizing the sum of distances between the existing facilities and the new facility while satisfying a restriction on its slope. We investigate this problem in the plane R^2 using different distance ...
Location Science
This book presents essential information on modern location science – in a word, all you need to know about location. The second edition of this handbook has been fully revised throughout, with numerous updates and chapters added, to offer an even more comprehensive overview of methods and applications. The book is divided into three parts: basic concepts, advanced concepts and applications. Written by the most respected specialists in the field and thoroughly reviewed by the editors, it first lays out the fundamental problems in location science and provides readers with basic background information on location theory. Part II covers advanced models and concepts, broadening and expanding on the content presented in Part I. It also discusses important tools to help readers grasp and solve real-world location problems. Part III focuses on the links between location science and other areas like GIS, telecommunications, healthcare, rapid transit networks, districting problems and disaster events, and presents a wide range of applications to allow readers to understand the role of facility location in such areas and learn how to handle real-world location problems. The book is intended for researchers working on theory and applications involving location problems and models. It is also suitable as a textbook for graduate courses on facility location.
Locating Lines and Hyperplanes
Author: Anita Schöbel
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-12-01
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.