Dissertation > Excellent graduate degree dissertation topics show

Research on Arithematic in Interval Optimal Model

Author: HeErYa
Tutor: XiaoXinPing
School: Wuhan University of Technology
Course: Applied Mathematics
Keywords: Interval Numbers Linear Programming Satisfaction Parameter Bilevel programming
CLC: O221.1
Type: Master's thesis
Year: 2005
Downloads: 347
Quote: 5
Read: Download Dissertation

Abstract


Limitations due to the complexity of the actual situation or awareness of the problem in real life and in the engineering field, subjectivity, there is a lot of uncertainty phenomenon, these uncertainties phenomenon is mainly manifested in two aspects: First, the randomness , fuzziness. In mathematical programming problems, these uncertainties phenomenon will give decision-makers to make decisions cause great difficulties, has a very important theoretical and practical significance for the study of the optimization problem in this uncertain environment. This article discusses a class of uncertainty optimization problem with interval number, the main contents are as follows: First, the interval between the number of computing and sorting reviewed seven aspects of interval numbers and gray number. Resolve attribute weights has clearly given property value is the interval number of this type of multi-attribute decision-making problems, define the distance between interval numbers and the ideal solution, the distance between the use of the ideal solution to sort the various options, in order to make decisions. Second, first discussed target coefficient and constraint coefficient for the interval number linear programming. The introduction of interval numbers compare satisfaction and parameters into a general linear programming, and prove that the optimal solution of linear programming after the conversion into prior to the effective solution. Interval number, then the target coefficient constrained coefficient contain the interval number and triangular fuzzy number linear programming. Established the model as well as the sort of triangular fuzzy numbers, arithmetic, conversion and solving method similar to solve the former model. Third, the interval number bilevel programming. Defined interval number linear programming, introductory understanding of the concept and parameters planning results obtained With the changes in the parameters of the solution set and optimal value changes. Defined interval the number of price control model, but also on the basis of the satisfaction of its transformation, the iterative penalty function method to solve. Satisfaction in the calculation of these interval optimization model and parameter selection is random, with a lot of arbitrary and subjective, so that the final outcome will be influential. Interval number linear bilevel programming, know the parameters affect the solution set and optimal value, and how they will function as well as what kind of relationship these issues need to be further addressed . Although these algorithms have demonstrated the feasibility, can never applied to practice to test.

Related Dissertations

  1. Development of the On-Line Electronic Gauge for Crackshaft’s Axial Length Parameters,TH822
  2. The Technological Parameter Analysis and Influencing Factor Research on RUV4 Automobile Ignition Coils,U463.64
  3. Research on Testing and Analyzing Technology for Time Parameter of Aerospace Relay,TM58
  4. Research on Vector Control System of Induction Motor Based on DSP,TM346
  5. Research on Disease Related miRNA Mining Based on Protein-Protein Interaction Network,R341
  6. Research on the Optimization of Laser Triangulation Device,TH744.5
  7. Research on Direct Sequence Spread Spectrum Signal Detection and Parameter Estimation,TN914.42
  8. Modulation Pattern Recognition and Parameter Estimation for Ground Wave Radiation Sources,TN957.51
  9. Research on Structure Transition Technology for SMT,TP391.2
  10. Research on Predictive Control and Simulation of pH Value Based on the Confection Process of Sodium Nitrate,TP273
  11. The Empirical Research on Service Encounter Affecting Customer Loyalty of Female Underwear Brand,F274
  12. Hot air drying characteristics of lettuce osmotic dehydration mass transfer kinetics and permeability,TS255.52
  13. Research on Puff Sleeve Model and Pattern Design of Women’s Clothes,TS941.2
  14. Study on the Quantified Model of Public Participation in Highway Environmental Impact Assessment,U41
  15. Rural primary school teachers' job satisfaction measurement,G625.1
  16. An Empirical Research on University Teachers’ Effectiveness and Its Influcing Factors,G645.1
  17. Xian Tennis Customer Satisfaction Research,G845
  18. Study on Small Bank-based Constructed Wetland for Remediation of Polluted Water in City Stream,X703
  19. The Research of Land-Use Optimization Approach Based on Non-Point Source Pollution Controlled,X24
  20. Study on Modeling Effects of Genotype and Sowing Date on Rice Prductivity,S511
  21. Study on the Relationship among Root System and the Shoot Dry Matter Accumulation and Yield from Winter Wheat Under Different Cultivation and Management Modes,S512.11

CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Planning Theory ( mathematical programming) > Linear programming
© 2012 www.DissertationTopic.Net  Mobile