• 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 (2,426 words) - 15:24, 7 August 2024
  • 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
  • Thumbnail for Linear programming relaxation
    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) - 18:59, 10 November 2023
  • 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) - 22:42, 2 February 2023
  • 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
  • Thumbnail for Travelling salesman problem
    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...
    86 KB (11,488 words) - 15:34, 11 September 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
  • 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 (4,207 words) - 08:19, 8 September 2024
  • 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
  • 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 (2,096 words) - 13:41, 30 January 2024
  • Thumbnail for Greedy algorithm
    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...
    16 KB (1,778 words) - 17:37, 3 July 2024
  • 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...
    20 KB (2,547 words) - 02:38, 25 September 2024
  • minimization mechanism operating on a tree rearrangement criterion. The branch and bound algorithm is a general method used to increase the efficiency of searches...
    64 KB (8,080 words) - 08:10, 9 September 2024
  • 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 (4,804 words) - 19:05, 24 September 2024
  • Thumbnail for Combinatorial optimization
    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 (1,822 words) - 12:23, 16 September 2024
  • 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)...
    17 KB (1,585 words) - 05:05, 19 May 2024
  • 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) - 13:50, 18 February 2023
  • Thumbnail for Cutting-plane method
    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
  • Thumbnail for Clique problem
    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) - 17:15, 23 September 2024
  • supplement branch and bound algorithms of combinatorial optimization; linear programming and Lagrangian relaxations are used to obtain bounds in branch-and-bound...
    6 KB (735 words) - 12:05, 13 November 2023
  • Kansas (state county code) Brandenburg, Germany (ISO 3166-2 code BB) Branch and bound, a general algorithm for finding optimal solutions Busy beaver class...
    5 KB (651 words) - 02:12, 25 September 2024
  • 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
  • Thumbnail for Linear programming
    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 (6,668 words) - 21:41, 12 September 2024
  • 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,...
    6 KB (819 words) - 15:10, 11 October 2023
  • "Multi-criteria branch and bound: A vector maximization algorithm for Mixed 0-1 Multiple Objective Linear Programming". Applied Mathematics and Computation...
    74 KB (9,564 words) - 04:04, 27 August 2024
  • 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 (7,659 words) - 10:45, 24 August 2024
  • 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...
    19 KB (2,609 words) - 16:49, 15 August 2024
  • using column generation and branch-and-bound. International Transactions in Operational Research 5: 35–44 S. Umetani, M. Yagiura, and T. Ibaraki (2003). One...
    18 KB (2,422 words) - 22:37, 25 October 2023
  • 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
  • line switches lp_solve uses the simplex method for linear programs, and branch-and-bound for mixed integer programs. Multiple pivoting strategies are supported...
    3 KB (258 words) - 22:45, 8 September 2024