Abstract
In this section we consider line location problems with vertical distance d ver The vertical distance between a point x = (x 1, x 2) and a non-vertical line l = l s,−1,b with slope s ∈ ℝ and intercept b ∈ ℝ is given by the length of the vertical line segment between x and l and can be calculated by
If l is a vertical line and x ∉ l, then d ver (x, l) = ∞, while d ver (x, l) = 0 for x ∈ l.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Schöbel, A. (1999). Line Location with Vertical Distance. In: Locating Lines and Hyperplanes. Applied Optimization, vol 25. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5321-2_2
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5321-2_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7428-2
Online ISBN: 978-1-4615-5321-2
eBook Packages: Springer Book Archive