Random-like bi-level decision making

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Hauptverfasser: Xu, Jiuping 1962- (VerfasserIn), Li, Zongmin (VerfasserIn), Tao, Zhimiao (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Singapore Springer [2016]
Schriftenreihe:Lecture notes in economics and mathematical systems 688
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Datensatz im Suchindex

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adam_text 1 Foundations of Random-Like Bi-Level Decision Making............. 1 1.1 Random Sets Theory........................................... 2 1.1.1 General Concepts....................................... 2 1.1.2 Random Variable....................................... 15 1.1.3 Fuzzy Variable........................................ 23 1.1.4 Ra-Ra Variable........................................ 27 1.1.5 Ra-Fu Variable........................................ 37 1.2 Bi-Level Programming........................................ 45 1.2.1 Linear Bi-Level Programming........................... 47 1.2.2 Nonlinear Bi-Level Programming........................ 49 1.2.3 Complexity and Optimality Conditions.................. 52 1.2.4 Traditional Methods................................... 53 1.2.5 Developments of Algorithms............................ 60 1.3 Synthetical Analysis of Literature.......................... 64 References..................................................... 70 2 Bi-Level Decision Making in Random Phenomenon................... 77 2.1 Regional Water Resources Allocation Problem................. 77 2.1.1 Random Phenomenon..................................... 80 2.1.2 Bi-Level Description.................................. 81 2.2 Bi-Level Decision Making Models with Random Coefficients.. 82 2.3 Random EEEE Model........................................... 94 2.3.1 General Form of Random EEEE Model..................... 95 2.3.2 Reference Point Method for Linear Models.............. 98 2.3.3 Genetic Approach for Nonlinear Models................ 108 2.4 Random CECC Model.......................................... 116 2.4.1 General Form of Random CECC Model.................... 116 2.4.2 KKT Method for Linear Model.......................... 121 2.4.3 Genetic Algorithm for Nonlinear Model................ 150 2.5 Random DEDC Model ............................................ 158 2.5.1 General Form of Random DEDC Model...................... 158 2.5.2 Interactive Fuzzy Goal Programming for Linear Model.... 160 2.5.3 Random Simulation-Based BPMOGA for Nonlinear Model....................................... 168 2.6 Regional Water Resources Allocation Problem in the Gan-Fu Plain.................................................. 177 2.6.1 Modelling.......................................... 177 2.6.2 Presentation of the Case Problem....................... 182 2.6.3 Parameter Selection for EBS-Based GA................... 185 2.6.4 Results and Discussion ............................... 186 References......................................................... 192 3 Bi-Level Decision Making in Ra-Ra Phenomenon...................... 199 3.1 Transport Flow Distribution Problem .......................... 199 3.1.1 Ra-Ra Phenomenon...................................... 201 3.1.2 Bi-Level Description................................... 202 3.2 Bi-Level Decision Making Model with Ra-Ra Coefficients....... 203 3.3 Ra-Ra EEDE Model.............................................. 210 3.3.1 General Form of Ra-Ra EEDE Model ...................... 210 3.3.2 The Steepest Descent Direction Method for Linear Model....................................... 212 3.3.3 Ra-Ra Simulation-Based PSO for Nonlinear Models .... — 219 3.4 Ra-Ra ECEC Model.............................................. 226 3.4.1 General Form of Ra-Ra ECEC Model ................... 226 3.4.2 A Homotopy Method for Linear Model..................... 228 3.4.3 Ra-Ra Simulation-Based CHK-PSO for Nonlinear Models..................................... 237 3.5 Ra-Ra DCCC Model.............................................. 246 3.5.1 General Form of Ra-Ra DCCC Model....................... 246 3.5.2 Interactive Balance Space Approach for Linear Model... 249 3.5.3 Ra-Ra Simulation-Based CST-PSO for Nonlinear Models....................................... 258 3.6 Transport Flow Distribution of the SB Y Hydropower Project... 264 3.6.1 Modelling.......................................... 264 3.6.2 Presentation of the SBY Hydropower Project............. 270 3.6.3 Solutions and Discussion............................. 276 References......................................................... 280 4 Bi-Level Decision Making in Ra-Fu Phenomenon ..................... 283 4.1 Construction Site Security Planning Problem.................. 283 4.1.1 Ra-Fu Phenomena.................................... 286 4.1.2 Bi-Level Description................................. 286 4.2 Bi-Level Decision Making Model with Ra-Fu Coefficients....... 288 4.3 Ra-Fu EECC Model............................................ 289 4.3.1 General Form of Ra-Fu EECC Model....................... 289 4.3.2 Constrained Variable Metric Method for Linear Model... 290 4.3.3 Ra-Fu Simulation-Based PGSA for Nonlinear Model....... 307 4.4 Ra-Fu CCDD Model........................................ 316 4.4.1 General Form of Ra-Fu CCDD Model.................. 316 4.4.2 Fuzzy Decision Method for Linear Model............ 317 4.4.3 Ra-Fu Simulation-Based PGSA-GA for Nonlinear Model................................... 326 4.5 Ra-Fu DDEE Model........................................ 332 4.5.1 General Form of Ra-Fu DDEE Model.................. 332 4.5.2 Interactive Method for Linear Model .............. 333 4.5.3 Ra-Fu Simulation-Based PGSA-PSO for Nonlinear Model................................... 337 4.6 Security Planning of the LT Hydropower Construction Project. 343 4.6.1 Modelling........................................ 343 4.6.2 Solving Procedure by PGSA Algorithm............... 350 4.6.3 Data Collection................................... 356 4.6.4 Solution and Discussion.......................... 356 References................................................... 362 5 Methodology From an Equilibria Viewpoints.................... 365 5.1 Motivation for Equilibrium.............................. 365 5.2 Equilibria in Real-World Problems..................... 368 5.3 Model System in Equilibria.............................. 372 5.4 Equilibria Algorithms................................... 376 5.5 Perspectives............................................ 381 5.5.1 Models............................................ 382 5.5.2 Theories.......................................... 383 5.5.3 Algorithms........................................ 384 5.5.4 Applications...................................... 384 References................................................... 385 Appendix MATLAB Codes ........................................ 387 A. l MATLAB® File for Example 2.3 ........................... 387 A.2 MATLAB® File for Example 2.7 ........................... 3B7 A.3 MATLAB® File for Example 2.10........................... 388 A.4 MATLAB® File for Example 3.2............................ 388 A.5 MATLAB® File for Example 3.3 ........................... 388 A.6 MATLAB® File for Example 3.6............................ 389 A.7 MATLAB® File for Example 4.2............................ 389 A.8 MATLAB® File for Example 4.3 ........................... 392 A.9 MATLAB® File for Example 4.6............................ 395 Index 399
any_adam_object 1
author Xu, Jiuping 1962-
Li, Zongmin
Tao, Zhimiao
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Li, Zongmin
Tao, Zhimiao
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indexdate 2024-12-24T05:15:27Z
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isbn 9789811017674
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oclc_num 958500075
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publishDate 2016
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publisher Springer
record_format marc
series Lecture notes in economics and mathematical systems
series2 Lecture notes in economics and mathematical systems
spellingShingle Xu, Jiuping 1962-
Li, Zongmin
Tao, Zhimiao
Random-like bi-level decision making
Lecture notes in economics and mathematical systems
Entscheidungsfindung (DE-588)4113446-1 gnd
Stochastischer Prozess (DE-588)4057630-9 gnd
Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd
subject_GND (DE-588)4113446-1
(DE-588)4057630-9
(DE-588)4715689-2
title Random-like bi-level decision making
title_auth Random-like bi-level decision making
title_exact_search Random-like bi-level decision making
title_full Random-like bi-level decision making Jiuping Xu, Zongmin Li, Zhimiao Tao
title_fullStr Random-like bi-level decision making Jiuping Xu, Zongmin Li, Zhimiao Tao
title_full_unstemmed Random-like bi-level decision making Jiuping Xu, Zongmin Li, Zhimiao Tao
title_short Random-like bi-level decision making
title_sort random like bi level decision making
topic Entscheidungsfindung (DE-588)4113446-1 gnd
Stochastischer Prozess (DE-588)4057630-9 gnd
Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd
topic_facet Entscheidungsfindung
Stochastischer Prozess
Zwei-Ebenen-Optimierung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029178955&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000000036
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