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...
20 KB (2,432 words) - 04:50, 9 April 2025
unknowns are restricted to integer values. Branch and cut involves running a branch and bound algorithm and using cutting planes to tighten the linear...
9 KB (1,250 words) - 13:30, 10 April 2025
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...
87 KB (11,633 words) - 11:11, 10 May 2025
of polyhedral combinatorics. The related branch and cut method combines the cutting plane and branch and bound methods. In any subproblem, it runs the...
17 KB (2,414 words) - 17:52, 10 January 2025
compatibility branch and bound (JCBB) is an algorithm in computer vision and robotics commonly used for data association in simultaneous localization and mapping...
903 bytes (82 words) - 21:53, 31 October 2022
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...
30 KB (4,192 words) - 17:10, 14 April 2025
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...
13 KB (1,844 words) - 07:20, 14 June 2024
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...
11 KB (1,483 words) - 11:39, 15 August 2024
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...
18 KB (2,097 words) - 22:18, 7 May 2025
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...
65 KB (8,217 words) - 01:14, 29 April 2025
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...
7 KB (803 words) - 19:03, 23 August 2023
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...
43 KB (5,536 words) - 03:26, 9 May 2025
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...
19 KB (2,405 words) - 12:10, 4 April 2025
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)...
4 KB (336 words) - 09:34, 6 April 2025
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...
84 KB (9,905 words) - 06:48, 12 May 2025
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...
18 KB (1,847 words) - 03:45, 24 March 2025
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...
17 KB (1,918 words) - 15:30, 5 March 2025
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...
61 KB (6,690 words) - 17:57, 6 May 2025
program. Backtracking Branch and bound Brute-force search Divide and conquer Dynamic programming Greedy algorithm Recursion Prune and search Kernelization...
1 KB (80 words) - 08:18, 27 February 2024
Knapsack problem (redirect from Bounded knapsack problem)
Martello, S.; Toth, P. (1984). "A mixture of dynamic programming and branch-and-bound for the subset-sum problem". Manag. Sci. 30 (6): 765–771. doi:10...
49 KB (7,799 words) - 12:31, 12 May 2025
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...
64 KB (7,746 words) - 14:55, 31 March 2025
supplement branch and bound algorithms of combinatorial optimization; linear programming and Lagrangian relaxations are used to obtain bounds in branch-and-bound...
6 KB (739 words) - 16:39, 18 January 2025
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)...
25 KB (2,355 words) - 18:36, 7 May 2025
An Asynchronous Branch-and-Bound DCOP Algorithm", Proceedings of the Seventh International Joint Conference on Autonomous Agents and Multiagent Systems...
30 KB (3,437 words) - 04:14, 7 April 2025
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...
10 KB (1,546 words) - 09:57, 10 December 2023
(opt) end function Besides Dynamic Programming, Linear programming and Branch and bound are design patterns also used for exact solutions to the TSP. Linear...
12 KB (2,164 words) - 18:08, 29 December 2024
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...
2 KB (174 words) - 15:49, 12 July 2024
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...
3 KB (458 words) - 15:50, 10 May 2025
"Multi-criteria branch and bound: A vector maximization algorithm for Mixed 0-1 Multiple Objective Linear Programming". Applied Mathematics and Computation...
75 KB (9,569 words) - 03:59, 12 March 2025
Alison Harcourt (section Early life and education)
November 1929) is an Australian mathematician and statistician most well-known for co-defining the branch and bound algorithm along with Ailsa Land whilst carrying...
10 KB (919 words) - 01:03, 4 April 2024