Title
Using a Lagrangian Heuristic for a Combinatorial Auction Problem
Abstract
In this paper, a combinatorial auction problem is modeled as a NP-complete set packing problem and a Lagrangian relaxation based heuristic algorithm is proposed. Extensive experiments are conducted using benchmark CATS test sets and more complex test sets. The algorithm provides optimal solutions for most test sets and is always 1% from the optimal solutions for all CATS test sets. Comparisons with CPLEX 8.0 are also provided, which show that the algorithm provides good solutions.
Year
DOI
Venue
2005
10.1109/ICTAI.2005.126
International Journal on Artificial Intelligence Tools
Keywords
Field
DocType
lagrangian heuristic,combinatorial auction problem,optimal solution,good solution,complex test set,benchmark cats test set,heuristic.,langrange relaxation,test set,combinatorial auction,heuristic algorithm,cats test set,extensive experiment,lagrangian relaxation,bin packing,commerce,relaxation methods,business,computational complexity
Mathematical optimization,Heuristic (computer science),Combinatorial auction,Computer science,Relaxation (iterative method),Set packing,Lagrangian relaxation,Auction algorithm,Bin packing problem,Computational complexity theory
Conference
Volume
Issue
ISSN
15
3
1082-3409
ISBN
Citations 
PageRank 
0-7695-2488-5
13
0.60
References 
Authors
11
4
Name
Order
Citations
PageRank
Yunsong Guo1130.60
A. Lim247931.72
Brian Rodrigues3788.07
Jiqing Tang4130.60