Title
Lagrangian heuristic for a class of the generalized assignment problems
Abstract
A Lagrangian based heuristic is proposed for many-to-many assignment problems taking into account capacity limits for task and agents. A modified Lagrangian bound studied earlier by the authors is presented and a greedy heuristic is then applied to get a feasible Lagrangian-based solution. The latter is also used to speed up the subgradient scheme to solve the modified Lagrangian dual problem. A numerical study is presented to demonstrate the efficiency of the proposed approach.
Year
DOI
Venue
2010
10.1016/j.camwa.2010.03.070
Computers & Mathematics with Applications
Keywords
Field
DocType
generalized assignment problem,dual problem,assignment problem,integer programming,greedy heuristic
Weapon target assignment problem,Mathematical optimization,Heuristic,Subgradient method,Generalized assignment problem,Greedy algorithm,Integer programming,Lagrangian relaxation,Linear bottleneck assignment problem,Mathematics
Journal
Volume
Issue
ISSN
60
4
0898-1221
Citations 
PageRank 
References 
2
0.36
9
Authors
4
Name
Order
Citations
PageRank
Igor S. Litvinchev13310.71
Miguel Mata Pérez220.36
Socorro Rangel3715.62
Jania Saucedo470.85