Title
Theory and Practice in Large Carpooling Problems.
Abstract
We address the carpooling problem as a graph-theoretic problem. If the set of drivers is known in advance, then for any car capacity, the problem is equivalent to the assignment problem in bipartite graphs. Otherwise, when we do not know in advance who will drive their vehicle and who will be a passenger, the problem is NP-hard. We devise and implement quick heuristics for both cases, based on graph algorithms, as well as parallel algorithms based on geometric/algebraic approach. We compare between the algorithms on random graphs, as well as on real, very large, data.
Year
DOI
Venue
2014
10.1016/j.procs.2014.05.433
Procedia Computer Science
Keywords
Field
DocType
Carpooling,Linear Programming,Maximum Weighted Matching,Star Partition Problem,Gradient Projection Algorithm,Scalability,Incremental Algorithms
Graph algorithms,Mathematical optimization,Random graph,Algebraic number,Computer science,Parallel algorithm,Bipartite graph,Heuristics,Assignment problem,Linear programming,Artificial intelligence,Machine learning
Conference
Volume
ISSN
Citations 
32
1877-0509
3
PageRank 
References 
Authors
0.44
2
7
Name
Order
Citations
PageRank
Irith Ben-Arroyo Hartman1347.87
Daniel Keren2931116.90
Abed Abu Dbai3121.30
Elad Cohen430.44
Luk Knapen58622.42
Ansar-Ul-Haque Yasar611842.31
Davy Janssens723838.08