Branch and bound (BB, B&B, or BnB) is a method for solving optimization problems by breaking them down into smaller sub-problems and using a bounding...
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Constrained optimization (section Branch and bound)
can be applied under differentiability and convexity. Constraint optimization can be solved by branch-and-bound algorithms. These are backtracking algorithms...
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of polyhedral combinatorics. The related branch and cut method combines the cutting plane and branch and bound methods. In any subproblem, it runs the...
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unknowns are restricted to integer values. Branch and cut involves running a branch and bound algorithm and using cutting planes to tighten the linear...
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Nonlinear programming (category Optimization algorithms and methods)
and little theoretical benefit. Another method involves the use of branch and bound techniques, where the program is divided into subclasses to be solved...
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Protein design (section Branch and bound)
conformation tree: At each branching, branch and bound algorithms bound the conformation space and explore only the promising branches. A popular search algorithm...
63 KB (7,685 words) - 00:41, 12 October 2024
Travelling salesman problem (category Hamiltonian paths and cycles)
Dantzig, Fulkerson, and Johnson used branch-and-bound algorithms perhaps for the first time. In 1959, Jillian Beardwood, J.H. Halton, and John Hammersley...
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the branch and bound method. For example, the branch and cut method that combines both branch and bound and cutting plane methods. Branch and bound algorithms...
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compatibility branch and bound (JCBB) is an algorithm in computer vision and robotics commonly used for data association in simultaneous localization and mapping...
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Global optimization (section Branch and bound methods)
and Václav Chvátal. Branch and bound (BB or B&B) is an algorithm design paradigm for discrete and combinatorial optimization problems. A branch-and-bound...
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variables. The method is a hybrid of branch and bound and column generation methods. Branch and price is a branch and bound method in which at each node of...
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Alpha–beta pruning (category Optimization algorithms and methods)
performed in the same time. Like its predecessor, it belongs to the branch and bound class of algorithms. The optimization reduces the effective depth to...
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Greedy algorithm (category Optimization algorithms and methods)
as a selection algorithm to prioritize options within a search, or branch-and-bound algorithm. There are a few variations to the greedy algorithm: Pure...
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the primal-dual interior point method for non-integer problems and the branch-and-bound algorithm together with Gomory's mixed integer cuts for (mixed)...
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Petrick's method (redirect from Branch-and-bound method)
Boolean algebra, Petrick's method (also known as Petrick function or branch-and-bound method) is a technique described by Stanley R. Petrick (1931–2006)...
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Clique problem (section History and applications)
runtime guarantees, based on methods including branch and bound, local search, greedy algorithms, and constraint programming. Non-standard computing methodologies...
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A* search algorithm (section Bounded relaxation)
turn, both Dijkstra and A* are special cases of dynamic programming. A* itself is a special case of a generalization of branch and bound. A* is similar to...
39 KB (4,803 words) - 17:52, 18 October 2024
Cutting-plane method (category Optimization algorithms and methods)
Gérard Cornuéjols and co-workers showed them to be very effective in combination with branch-and-bound (called branch-and-cut) and ways to overcome numerical...
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supplement branch and bound algorithms of combinatorial optimization; linear programming and Lagrangian relaxations are used to obtain bounds in branch-and-bound...
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Discrete optimization (section Branches)
Discrete optimization is a branch of optimization in applied mathematics and computer science. As opposed to continuous optimization, some or all of the...
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"Multi-criteria branch and bound: A vector maximization algorithm for Mixed 0-1 Multiple Objective Linear Programming". Applied Mathematics and Computation...
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Computational phylogenetics (section Branch and bound)
minimization mechanism operating on a tree rearrangement criterion. The branch and bound algorithm is a general method used to increase the efficiency of searches...
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BB (section Arts and entertainment)
England Barbados (ISO 3166 code BB) .bb, top-level domain for Barbados Branch and bound, a method for solving optimization problems Busy beaver class in computing...
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Special ordered set (category Optimization algorithms and methods)
Special order sets are basically a device or tool used in branch and bound methods for branching on sets of variables, rather than individual variables,...
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approaches include branch-and-bound (an exact algorithm which can be stopped at any point in time to serve as heuristic), branch-and-cut (uses linear optimisation...
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integer linear programs include: cutting-plane method Branch and bound Branch and cut Branch and price if the problem has some extra structure, it may...
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solver which uses branch and bound algorithm. MINTO is a software system that solves mixed integer programming problem by a branch and bound algorithm with...
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important in some applications — e.g. in breadth-first recursion and the branch-and-bound method for function optimization. This approach is also the standard...
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Cutting stock problem (section Bounds and checks)
using column generation and branch-and-bound. International Transactions in Operational Research 5: 35–44 S. Umetani, M. Yagiura, and T. Ibaraki (2003). One...
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line switches lp_solve uses the simplex method for linear programs, and branch-and-bound for mixed integer programs. Multiple pivoting strategies are supported...
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