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  2. Basic feasible solution - Wikipedia

    en.wikipedia.org/wiki/Basic_feasible_solution

    In the theory of linear programming, a basic feasible solution (BFS) is a solution with a minimal set of non-zero variables. Geometrically, each BFS corresponds to a vertex of the polyhedron of feasible solutions.

  3. Basic solution (linear programming) - Wikipedia

    en.wikipedia.org/wiki/Basic_solution_(Linear...

    A constraint is active for a particular solution if it is satisfied at equality for that solution. A basic solution that satisfies all the constraints defining P {\displaystyle P} (or, in other words, one that lies within P {\displaystyle P} ) is called a basic feasible solution .

  4. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    However, some problems have distinct optimal solutions; for example, the problem of finding a feasible solution to a system of linear inequalities is a linear programming problem in which the objective function is the zero function (i.e., the constant function taking the value zero everywhere).

  5. Simplex algorithm - Wikipedia

    en.wikipedia.org/wiki/Simplex_algorithm

    The possible results of Phase I are either that a basic feasible solution is found or that the feasible region is empty. In the latter case the linear program is called infeasible. In the second step, Phase II, the simplex algorithm is applied using the basic feasible solution found in Phase I as a starting point.

  6. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    A feasible solution that minimizes (or maximizes) the objective function is called an optimal solution. In mathematics, conventional optimization problems are usually stated in terms of minimization. A local minimum x* is defined as an element for which there exists some δ > 0 such that

  7. Cutting-plane method - Wikipedia

    en.wikipedia.org/wiki/Cutting-plane_method

    The method proceeds by first dropping the requirement that the x i be integers and solving the associated relaxed linear programming problem to obtain a basic feasible solution. Geometrically, this solution will be a vertex of the convex polytope consisting of all feasible points.

  8. 5 potential solutions to keep Social Security from going broke

    www.aol.com/finance/5-potential-solutions-keep...

    Finding a solution to ensure the program’s long-term solvency is critical for the estimated 67 million Americans who rely on Social Security — and for future generations. 5 proposed solutions ...

  9. Feasible region - Wikipedia

    en.wikipedia.org/wiki/Feasible_region

    The space of all candidate solutions, before any feasible points have been excluded, is called the feasible region, feasible set, search space, or solution space. [2] This is the set of all possible solutions that satisfy the problem's constraints. Constraint satisfaction is the process of finding a point in the feasible set.