Computers and Operations Research
Integer Programming Formulation of Traveling Salesman Problems
Journal of the ACM (JACM)
The Constrained Minimum Spanning Tree Problem (Extended Abstract)
SWAT '96 Proceedings of the 5th Scandinavian Workshop on Algorithm Theory
Separation algorithms for 0-1 knapsack polytopes
Mathematical Programming: Series A and B - Series B - Special Issue: Combinatorial Optimization and Integer Programming
A fully polynomial bicriteria approximation scheme for the constrained spanning tree problem
Operations Research Letters
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We consider the weight-constrained minimum spanning tree problem which has important applications in telecommunication networks design.We discuss and compare several formulations. In order to strengthen these formulations, new classes of valid inequalities are introduced. They adapt the well-known cover, extended cover and lifted cover inequalities. They incorporate information from the two subsets: the set of spanning trees and the knapsack set. We report computational experiments where the best performance of a standard optimization package was obtained when using a formulation based on the well-known Miller-Tucker-Zemlin variables combined with separation of cut-set inequalities.