Random-like bi-level decision making:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore
Springer
[2016]
|
| Series: | Lecture notes in economics and mathematical systems
688 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xi, 401 Seiten Diagramme |
| ISBN: | 9789811017674 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804176588040830976 |
|---|---|
| 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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| indexdate | 2024-07-10T07:34:34Z |
| institution | BVB |
| isbn | 9789811017674 |
| language | English |
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| physical | xi, 401 Seiten Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
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| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Xu, Jiuping 1962- Verfasser (DE-588)137202369 aut Random-like bi-level decision making Jiuping Xu, Zongmin Li, Zhimiao Tao Singapore Springer [2016] xi, 401 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 688 Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd rswk-swf Zwei-Ebenen-Optimierung (DE-588)4715689-2 s Entscheidungsfindung (DE-588)4113446-1 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Li, Zongmin Verfasser aut Tao, Zhimiao Verfasser aut Lecture notes in economics and mathematical systems 688 (DE-604)BV000000036 688 Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf 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 Inhaltsverzeichnis |
| 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 |
| work_keys_str_mv | AT xujiuping randomlikebileveldecisionmaking AT lizongmin randomlikebileveldecisionmaking AT taozhimiao randomlikebileveldecisionmaking |