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CCO
2001
Springer
143views Combinatorics» more  CCO 2001»
13 years 9 months ago
TSP Cuts Which Do Not Conform to the Template Paradigm
Abstract. The first computer implementation of the Dantzig-FulkersonJohnson cutting-plane method for solving the traveling salesman problem, written by Martin, used subtour inequa...
David Applegate, Robert E. Bixby, Vasek Chvá...
CCO
2001
Springer
168views Combinatorics» more  CCO 2001»
13 years 9 months ago
Mathematical Programming Models and Formulations for Deterministic Production Planning Problems
Abstract. We study in this lecture the literature on mixed integer programming models and formulations for a specific problem class, namely deterministic production planning probl...
Yves Pochet
CCO
2001
Springer
256views Combinatorics» more  CCO 2001»
13 years 9 months ago
General Mixed Integer Programming: Computational Issues for Branch-and-Cut Algorithms
In this paper we survey the basic features of state-of-the-art branch-and-cut algorithms for the solution of general mixed integer programming problems. In particular we focus on p...
Alexander Martin
CCO
2001
Springer
157views Combinatorics» more  CCO 2001»
13 years 9 months ago
Lagrangian Relaxation
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...
Claude Lemaréchal
CCO
2001
Springer
161views Combinatorics» more  CCO 2001»
13 years 9 months ago
Branch, Cut, and Price: Sequential and Parallel
Branch, cut, and price (BCP) is an LP-based branch and bound technique for solving large-scale discrete optimization problems (DOPs). In BCP, both cuts and variables can be generat...
Laszlo Ladányi, Ted K. Ralphs, Leslie E. Tr...