The Method Of Optimal Allocation Structure Solving LP Paradox And Its Application

Linear programming paradox has "More the fewer" and "Little more instead". The so-called "More the fewer" refers to the linear programming problem of minimizing, the sum of right-side vector increases, the optimal value of the objective function instead reduced; the phenomenon of" Little more instead " is instead that its sum of the right vector has declined, the optimal value of the objective function increases.Currently most researches discussed two paradox separately. We think that different kinds of paradox should have generality in essence. So that looking for an unified model and providing the same solving standard, are worth studying. Meanwhile, the paradox in the economy application is as a special phenomenon existing, and researches don't give consistent clear explanations, its economic significance needs further research.This paper puts forward a unified model of solving paradox problem—the optimal configuration structure method. The new method has two distinct advantage:First, a unified model of paradox, the judge and solve the phenomenon relying on the same standards, and applies the more extensive meaning of two kinds of paradox:"More the fewer" and "Little more instead". The solving process is simple.Second, the solution of the optimal configuration structure model is a range of solution, enterprise can have more options to adjustment, people can choose different solutions to solve the paradox, that has more practical value than ever single solution to problems.Third, it is more clearly to explain the economic value of linear planning paradox. linear programming model usually has definite economic significance, and the optimal configuration structure model put forward in this paper is a linear programming model, the paradox in the economic significance are reflected in the model.Four, we quantitatively compare the differences of resource allocation structure of planned economy and market economy based on the optimal configuration structure model, and use optimal technical structure on the portfolio paradox research.