Title
Graph Collapsing in Shortest Path Auction Algorithms
Abstract
In this paper we consider the problem of finding a shortest path from a source node to a fixed target node (SSP) or to all the nodes (SPT) on a directed graph. A family of algorithms which derives from the known auction algorithm is introduced. The key feature of these algorithms is based on topological transformations operated on the graphs that replace an optimal sub-path with a single arc of the same length (graph collapsing concept). The same idea is applied both to the standard auction algorithm and to a modified version of the algorithm. In the last mentioned case a good saving in computation cost is obtained as shown by the reported numerical examples.
Year
DOI
Venue
2001
10.1023/A:1011246118315
Comp. Opt. and Appl.
Keywords
Field
DocType
shortest path,network optimization,auction technique
Mathematical optimization,Path (graph theory),Shortest path problem,Directed graph,Algorithm,Shortest Path Faster Algorithm,Auction algorithm,Longest path problem,Mathematics,Widest path problem,K shortest path routing
Journal
Volume
Issue
ISSN
18
3
1573-2894
Citations 
PageRank 
References 
1
0.37
5
Authors
3
Name
Order
Citations
PageRank
R. Cerulli125223.85
P. Festa2674.51
Giancarlo Raiconi311815.08