Decision variables: directly related to profits.
Target condition: a linear function of multiple decision variables, usually a problem of finding the maximum or minimum.
Constraint: A set of linear equality or inequality of multiple decision variables.
The mathematical model established by linear programming has the following characteristics:
1, and each model has several decision variables (x 1, x2, x3…… ................... xn), where n is the number of decision variables. A set of values of decision variables represents a scheme, and decision variables are generally non-negative.
2. The objective function is a linear function of decision variables, which can be maximization (max) or minimization (min) according to specific problems, both of which are collectively called optimization (opt).
3. Constraints are also linear functions of decision variables. When the objective function of the obtained mathematical model is a linear function and the constraint conditions are linear equality or inequality, the mathematical model is called a linear programming model.
Brief introduction of linear programming model;
Linear programming model refers to a special mathematical programming model, that is, the objective function and constraint conditions are linear functions, linear equations or linear inequalities of variables to be solved, that is, there is no X? 、e？ 、sinx、 1/x、y/x、log？ X and other forms. The typical problem it describes is how to allocate limited resources in the best way in various activities.
Linear programming model is generally used for optimization problems, that is, resources are limited and benefits are maximized. In real life, we often encounter the problem of how to carefully arrange and get the maximum benefit with the least resources under certain human, material and financial conditions, which is the basic content of linear programming model research.
Linear programming has become an important means of modern management. For example: production arrangement, investment income, sales and transportation, vehicle arrangement and so on. General signs include: how many people have, how to arrange/allocate/maximum/minimum, and the maximum total profit.