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Multivalued Functions, Branch Points, and Cuts
2007Because ei2π = 1, it is straightforward to see that if the argument of a complex variable z is increased by 2π, one obtains the same value of the complex variable. That is, for a given r and θ, we write $$ z(r,\theta ) = re^{i\theta } $$ (6.1a) Then $$ z(r,\theta + 2\pi ) = re^{i\theta } e^{2i\pi } = re^{i\theta } = z(r,\theta ) $$ (6 ...
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Branch-and-Cut algorithm for the connected-cut problem
2014Let G=(V,E) be an undirected connected graph. Let W be a subset of V, distinct from V. The set W is said proper when it is non-empty. We denote by δ(W), the set of edges of E having exactly one endnode in W. A set F is called a cut of G, if there exists a proper subset W of V such that F=δ(W).
Borne, Sylvie +4 more
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Branch-and-price-and-cut methods for the electric vehicle routing problem with time windows
International Journal of Production Research, 2022Ece Duman, Duygu TaŞ, BÜlent Çatay
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Machine Learning Techniques for Branch-and-Cut Methods: The Selection of Cutting Planes
The selection of cuts to be added to the current LP relaxation is one of the most critical task in Branch-and-Cut methods, since it strongly affects the performances of the algorithm. Recently, machine learning techniques have become popular to define effective cut selection strategies.Giovanni Giallombardo +2 more
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Exact Branch-Price-and-Cut Algorithms for Vehicle Routing
Transportation Science, 2019Luciano Costa +2 more
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Mixed 0-1 Programming by Lift-and-Project in a Branch-and-Cut Framework
Management Science, 1996Gerard Cornuejols
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A New Branch-and-Price-and-Cut Algorithm for One-Dimensional Bin-Packing Problems
INFORMS Journal on Computing, 2020Lijun Wei +2 more
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A branch-and-cut algorithm for the multi-product multi-vehicle inventory-routing problem
International Journal of Production Research, 2013Leandro C Coelho, Gilbert Laporte
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