On a Generalization of the Master Cyclic Group Polyhedron
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
A robust branch-cut-and-price algorithm for the heterogeneous fleet vehicle routing problem
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
Leveraging saving-based algorithms by master-slave genetic algorithms
Engineering Applications of Artificial Intelligence
Improved lower bounds for the Split Delivery Vehicle Routing Problem
Operations Research Letters
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This paper presents a robust branch-cut-and-price algorithm for the Capacitated Minimum Spanning Tree Problem (CMST). The variables are associated to q-arbs, a structure that arises from a relaxation of the capacitated prize-collecting arborescence problem in order to make it solvable in pseudo-polynomial time. Traditional inequalities over the arc formulation, like Capacity Cuts, are also used. Moreover, a novel feature is introduced in such kind of algorithms: powerful new cuts expressed over a very large set of variables are added, without increasing the complexity of the pricing subproblem or the size of the LPs that are actually solved. Computational results on benchmark instances from the OR-Library show very significant improvements over previous algorithms. Several open instances could be solved to optimality.