Transforming arc routing into node routing problems
Computers and Operations Research
Computers and Operations Research
Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
Journal of the ACM (JACM)
A cutting plane algorithm for the capacitated arc routing problem
Computers and Operations Research
Robust Branch-and-Cut-and-Price for the Capacitated Vehicle Routing Problem
Mathematical Programming: Series A and B
Optimizing over the first Chvátal closure
Mathematical Programming: Series A and B
A deterministic tabu search algorithm for the capacitated arc routing problem
Computers and Operations Research
Exploiting sparsity in pricing routines for the capacitated arc routing problem
Computers and Operations Research
A global repair operator for capacitated arc routing problem
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Solving capacitated arc routing problems using a transformation to the CVRP
Computers and Operations Research
Memetic algorithm with extended neighborhood search for capacitated arc routing problems
IEEE Transactions on Evolutionary Computation
A parallel heuristic for the Vehicle Routing Problem with Simultaneous Pickup and Delivery
Computers and Operations Research
A branch-cut-and-price algorithm for the capacitated arc routing problem
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
An Iterated Local Search heuristic for the Heterogeneous Fleet Vehicle Routing Problem
Journal of Heuristics
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The Capacitated Arc Routing Problem (CARP) stands among the hardest combinatorial problems to solve or to find high quality solutions. This becomes even more true when dealing with large instances. This paper investigates methods to improve on lower and upper bounds of instances on graphs with over 200 vertices and 300 edges, dimensions that, today, can be considered of large scale. On the lower bound side, we propose to explore the speed of a dual ascent heuristic to generate capacity cuts. These cuts are next improved with a new exact separation enchained to the linear program resolution that follows the dual heuristic. On the upper bound, we implement a modified Iterated Local Search procedure to Capacitated Vehicle Routing Problem (CVRP) instances obtained by applying a transformation from the CARP original instances. Computational experiments were carried out on the set of large instances generated by Brandao and Eglese and also on the regular size sets. The experiments on the latter allow for evaluating the quality of the proposed solution approaches, while those on the former present improved lower and upper bounds for all instances of the corresponding set.