Title
On Parametric Medians of Trees
Abstract
In this paper we consider the optimal location of a single facility with respect to a set of demand points on a tree network. The demands of the points to be served are dynamic and our model takes into account predictable changes in these demands. We study problems with both linear and nonlinear demand functions. We make use of the analytical properties of tree networks and sensitivity analysis, and devise efficient algorithms to construct the optimal trajectory of the parametric location problem. We also give theory that exploits the network topology.
Year
DOI
Venue
1992
10.1287/trsc.26.2.149
Transportation Science
Field
DocType
Volume
Flow network,Mathematical optimization,Parametric equation,Tree (graph theory),Nonlinear system,Algorithm,Network topology,Parametric statistics,Mathematical model,Mathematics,Tree network
Journal
26
Issue
ISSN
Citations 
2
0041-1655
2
PageRank 
References 
Authors
0.47
3
2
Name
Order
Citations
PageRank
Erhan Erkut169247.66
Barbaros C. Tansel2566.73