Paper Info
Title
Location, Pricing and the Problem of Apollonius.
Abstract
In Euclidean plane geometry, Apollonius’ problem is to construct a circle in a plane that is tangent to three given circles. We will use a solution to this ancient problem to solve several versions of the following geometric optimization problem. Given is a set of customers located in the plane, each having a demand for a product and a budget. A customer is satisfied if her total, travel and purchase, costs do not exceed the budget. The task is to determine location of production facilities in the plane and one price for the product such that the revenue generated from the satisfied customers is maximized.
Year
DOI
Venue
2017
10.1007/s11590-017-1159-0
Optimization Letters
Keywords
DocType
Volume
Pricing problem, Facility location, Apollonius’ problem, Complexity, Exact algorithm
Journal
11
Issue
ISSN
Citations 
8
1862-4472
2
PageRank 
References 
Authors
0.38
5
4
Name
Order
Citations
PageRank
André Berger1817.59
Alexander Grigoriev220324.23
A. A. Panin352.16
Andrej Winokurow420.72