Technical Report 042-2003

Title
Dual Variable Based Fathoming in Dynamic Programs for Column Generation
Author
Marco E. Lübbecke
Publication
Appears in European J. Oper. Res.
Source
Download as [PDF] [ps.gz]
Classification
MSC:
primary: 90C39 Dynamic programming
secondary: 90C08 Special problems of linear programming
65K05 Mathematical programming algorithms
Keywords
Dynamic programming, column generation, state space reduction
Abstract
In this note, we aim at reducing the state space of dynamic programming algorithms used as column generators in solving the linear programming relaxation of set partitioning problems arising from practical applications. We propose a simple generic lower bounding criterion based on the respective dual optimal solution of the restricted master program.