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  2. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    The linear programming problem is to find a point on the polyhedron that is on the plane with the highest possible value. Linear programming ( LP ), also called linear optimization , is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear ...

  3. Linear programming relaxation - Wikipedia

    en.wikipedia.org/wiki/Linear_programming_relaxation

    The process begins by considering a subproblem in which no variable values have been assigned, and in which V 0 is the whole set of variables of the original problem. Then, for each subproblem i, it performs the following steps. Compute the optimal solution to the linear programming relaxation of the current subproblem.

  4. Branch and cut - Wikipedia

    en.wikipedia.org/wiki/Branch_and_cut

    This description assumes the ILP is a maximization problem.. The method solves the linear program without the integer constraint using the regular simplex algorithm.When an optimal solution is obtained, and this solution has a non-integer value for a variable that is supposed to be integer, a cutting plane algorithm may be used to find further linear constraints which are satisfied by all ...

  5. Fundamental theorem of linear programming - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    In mathematical optimization, the fundamental theorem of linear programming states, in a weak formulation, that the maxima and minima of a linear function over a convex polygonal region occur at the region's corners.

  6. 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. If there exists an optimal solution, then there exists an optimal BFS.

  7. Lightweight Presentation Protocol - Wikipedia

    en.wikipedia.org/wiki/Lightweight_Presentation...

    Lightweight Presentation Protocol (LPP) is a protocol used to provide ISO presentation services on top of TCP/IP based protocol stacks. It is defined in RFC 1085. The Lightweight Presentation Protocol describes an approach for providing "streamlined" support of OSI model-conforming application services on top of TCP/IP-based network for some constrained environments.

  8. Multi-objective linear programming - Wikipedia

    en.wikipedia.org/wiki/Multi-objective_linear...

    Multi-objective linear programming is a subarea of mathematical optimization. A multiple objective linear program (MOLP) is a linear program with more than one objective function. An MOLP is a special case of a vector linear program .

  9. Column generation - Wikipedia

    en.wikipedia.org/wiki/Column_generation

    One particular technique in linear programming which uses this kind of approach is the Dantzig–Wolfe decomposition algorithm. Additionally, column generation has been applied to many problems such as crew scheduling, vehicle routing, and the capacitated p-median problem.