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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. Basic solution (linear programming) - Wikipedia

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

    In linear programming, a discipline within applied mathematics, a basic solution is any solution of a linear programming problem satisfying certain specified technical conditions. For a polyhedron P {\displaystyle P} and a vector x ∗ ∈ R n {\displaystyle \mathbf {x} ^{*}\in \mathbb {R} ^{n}} , x ∗ {\displaystyle \mathbf {x} ^{*}} is a ...

  4. LP-type problem - Wikipedia

    en.wikipedia.org/wiki/LP-type_problem

    In the study of algorithms, an LP-type problem (also called a generalized linear program) is an optimization problem that shares certain properties with low-dimensional linear programs and that may be solved by similar algorithms.

  5. Assignment problem - Wikipedia

    en.wikipedia.org/wiki/Assignment_problem

    The formal definition of the assignment problem (or linear assignment problem) is . Given two sets, A and T, together with a weight function C : A × T → R.Find a bijection f : A → T such that the cost function:

  6. 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 .

  7. Integer programming - Wikipedia

    en.wikipedia.org/wiki/Integer_programming

    An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.In many settings the term refers to integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear.

  8. Dual linear program - Wikipedia

    en.wikipedia.org/wiki/Dual_linear_program

    where the economic meanings of and are the equilibrium prices of various goods and the equilibrium activity levels of various economic agents, respectively. The von Neumann's equilibrium model can be further extended to the following structural equilibrium model with A {\displaystyle \mathbf {A} } and B {\displaystyle \mathbf {B} } as matrix ...

  9. Cutting stock problem - Wikipedia

    en.wikipedia.org/wiki/Cutting_stock_problem

    The above formulation's quantity constraints are minimum constraints (at least the given amount of each order must be produced, but possibly more). When c i = 1 {\displaystyle c_{i}=1} , the objective minimises the number of utilised master items and, if the constraint for the quantity to be produced is replaced by equality, it is called the ...