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The Study of Bilevel Decision Making Problem and the Application of Interval Decision Making Method

Author: HanLuYing
Tutor: LiZhiHui
School: Yanshan University
Course: Computational Mathematics
Keywords: Bilevel linear programming Fuzzy Structured Element Fuzzy variables Price control problem Excellent surface method Optimal net income Interval Decision Production scale
CLC: C934
Type: Master's thesis
Year: 2010
Downloads: 21
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Abstract

 The Multilayer planning to study the the Hierarchical system optimization of the basic model of the problem , the numerous researchers conducted in-depth research , and has been widely applied in many fields , such as the field of socio-economic , engineering, technology , management departments and the military . Bilevel programming is an important part of the multi-layer planning topics at the forefront of many areas of widespread concern in recent years by most of the reality of the decision-making system can be seen as Bilevel system . Thesis research object for linear bilevel programming problem of price control issues and eating tofu production and operation process interval decision-making problems , its main work is as follows : First, on the basis of in-depth analysis of the research status upper unconstrained the Bilevel system in linear bilevel programming done a detailed introduction to the basic model , defined and under different assumptions about their nature . Secondly, the introduction of the theory of fuzzy structuring element , concise introduction to the basic concepts of the fuzzy structuring element , gives the methods and algorithms based on the theory of fuzzy structuring element sort of fuzzy numbers , fuzzy variable structure element method the price control problem into the traditional problem of price controls , and gives the solving algorithm ; then gives excellent surface definition and nature , as well as the optimal solution and excellent surface relationship , on the second floor of the superior surface of the price control problem algorithm steps design , and a numerical example illustrates the effectiveness of the algorithm . Finally, since there are many uncertainties in tofu production process , the change of the natural environment , the production conditions change, and changes in market resources , the net proceeds of the tofu workshop brought an element of uncertainty , so tofu workshop optimal net income showing a range of characteristics . Chapter V production and operation of tofu for tofu workshop established the interval decision-making model to change the scale of production the interval decision-making model and without changing the scale of production , given the fundamental theorem of interval decision problem solving method , and practical problems solving , given the results of the analysis and recommendations of the tofu workshop .

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