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  2. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    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 relationships.

  3. List of optimization software - Wikipedia

    en.wikipedia.org/wiki/List_of_optimization_software

    MATLAB – linear, integer, quadratic, and nonlinear problems with Optimization Toolbox; multiple maxima, multiple minima, and non-smooth optimization problems; estimation and optimization of model parameters. MIDACO a lightweight software tool for single- and multi-objective optimization based on evolutionary computing. Written in C/C++ and ...

  4. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    High-level controllers such as model predictive control (MPC) or real-time optimization (RTO) employ mathematical optimization. These algorithms run online and repeatedly determine values for decision variables, such as choke openings in a process plant, by iteratively solving a mathematical optimization problem including constraints and a ...

  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. Multi-objective linear programming is also a subarea of Multi-objective optimization.

  7. Ordinary least squares - Wikipedia

    en.wikipedia.org/wiki/Ordinary_least_squares

    In statistics, ordinary least squares (OLS) is a type of linear least squares method for choosing the unknown parameters in a linear regression model (with fixed level-one [clarification needed] effects of a linear function of a set of explanatory variables) by the principle of least squares: minimizing the sum of the squares of the differences between the observed dependent variable (values ...

  8. Big M method - Wikipedia

    en.wikipedia.org/wiki/Big_M_method

    In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm.The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints.

  9. Basic feasible solution - Wikipedia

    en.wikipedia.org/wiki/Basic_feasible_solution

    The tableau is a representation of the linear program where the basic variables are expressed in terms of the non-basic ones: [1]: 65 = + = + where is the vector of m basic variables, is the vector of n non-basic variables, and is the maximization objective.