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 experim...
Yunsong Guo, Andrew Lim, Brian Rodrigues, Jiqing T...
We consider the problem to sell items to a set of bidders. Bidders bid on bundles of items, and each item's availability is unbounded, like for digital goods. We need to dete...
Alexander Grigoriev, Joyce van Loon, Maxim Sviride...
Lagrangian relaxation is commonly used in combinatorial optimization to generate lower bounds for a minimization problem. We propose a modified Lagrangian relaxation which used i...
ABSTRACT. Motivated by economic thought, a recent research agenda has suggested the algorithmic study of combinatorial optimization problems under functions which satisfy the prope...
Constraint programming offers a variety of modeling objects such as logical and global constraints, that lead to concise and clear models for expressing combinatorial optimization...