WebOct 1, 2024 · While the branch-and-cut algorithm proposed in Archetti et al. (2016) was able to solve only 25 out of the 64 small instances, the branch-price-and-cut (BPC) algorithm proposed in Archetti et al. (2015) was able to solve all the small instances within the same time limit, and other instances with up to 40 customers and three commodities. WebJan 14, 2011 · When the relaxation in each node of a branch-and-bound tree is solved by column generation, one speaks of branch-and-price. Optionally, cutting planes can be added in order to strengthen the relaxation, and this is called branch-price-and-cut. We introduce the common concepts of convexification and discretization to arrive at a …

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WebThe Branch-&-Cut algorithm usually executes faster with the availability of an integer feasible solution: an upper bound for the solution cost improves its ability of pruning branches in the search tree and this solution is also used in local search MIP heuristics. WebIn this paper, we address the electric vehicle routing problem with time windows and propose two branch-and-price-and-cut methods based on a column generation algorithm. One is an exact algorithm whereas the other is a heuristic method. The pricing sub-problem of the column generation method is solved using a label correcting algorithm. coppleflat lane walkington

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