Brief introduction of goal programming model
American scholars A. Chanas and W. W. Cooper, when applying linear programming to enterprises, realized that enterprise management has multi-objective characteristics, so they first put forward the concept and mathematical model of objective programming in 196 1. The basic concept of goal planning is that when the difference between the specified target and the actual target value is unknown, it can be represented by deviation D, which means that the actual target value exceeds the specified target value, which is called positive deviation, and D means that the actual target value does not reach the specified target value, which is called negative deviation. If enterprise decision-makers aim at controllable indicators such as profit, material consumption and energy consumption, they can give these targets different priority levels pk, k= 1, 2, …, k according to the importance of each indicator to the enterprise's business activities. If the specified profit is the most important, it is determined as p1; When the material consumption is seconds, it is determined as p2, and so on. P 1 takes precedence over p2, p2 takes precedence over p3, and so on. You can also have several goals with the same priority. In goal planning, all the goals given priority level p 1 should be achieved first, and then the corresponding goals at p2 and p3 levels should be achieved in turn. Finally, the sum of deviations that do not reach the target value is minimized.