Branch and price
Encyclopedia
In applied mathematics
, branch and price is a method of combinatorial optimization
for solving integer linear programs, (linear programming
problems with many integer
variables). The method is a hybrid of branch and bound
and column generation methods.
Branch and price uses column generation at every node of the branch and bound
tree to fathom the value of subproblems.
Applied mathematics
Applied mathematics is a branch of mathematics that concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge...
, branch and price is a method of combinatorial optimization
Combinatorial optimization
In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects. In many such problems, exhaustive search is not feasible...
for solving integer linear programs, (linear programming
Linear programming
Linear programming is a mathematical method for determining a way to achieve the best outcome in a given mathematical model for some list of requirements represented as linear relationships...
problems with many integer
Integer
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
variables). The method is a hybrid of branch and bound
Branch and bound
Branch and bound is a general algorithm for finding optimal solutions of various optimization problems, especially in discrete and combinatorial optimization...
and column generation methods.
Branch and price uses column generation at every node of the branch and bound
Branch and bound
Branch and bound is a general algorithm for finding optimal solutions of various optimization problems, especially in discrete and combinatorial optimization...
tree to fathom the value of subproblems.