Coverart for item
The Resource Random-like bi-level decision making, Jiuping Xu, Zongmin Li, Zhimiao Tao, (electronic book)

Random-like bi-level decision making, Jiuping Xu, Zongmin Li, Zhimiao Tao, (electronic book)

Label
Random-like bi-level decision making
Title
Random-like bi-level decision making
Statement of responsibility
Jiuping Xu, Zongmin Li, Zhimiao Tao
Creator
Contributor
Subject
Language
eng
Summary
Among the various multi-level formulations of mathematical models in decision making processes, this book focuses on the bi-level model. Being the most frequently used, the bi-level model addresses conflicts which exist in multi-level decision making processes. From the perspective of bi-level structure and uncertainty, this book takes real-life problems as the background, focuses on the so-called random-like uncertainty, and develops the general framework of random-like bi-level decision making problems. The random-like uncertainty considered in this book includes random phenomenon, random-overlapped random (Ra-Ra) phenomenon and fuzzy-overlapped random (Ra-Fu) phenomenon. Basic theory, models, algorithms and practical applications for different types of random-like bi-level decision making problems are also presented in this book
Member of
Cataloging source
EBLCP
http://library.link/vocab/creatorName
Xu, Jiuping
Dewey number
  • 519.5/42
  • 004
Index
index present
LC call number
QA279.4
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Li, Zongmin
  • Tao, Zhimiao.
Series statement
Lecture Notes in Economics and Mathematical Systems
Series volume
688
http://library.link/vocab/subjectName
  • Decision making
  • Multiple criteria decision making
  • Computer Science
  • Mathematics of Computing
  • Probability Theory and Stochastic Processes
  • Statistics and Computing/Statistics Programs
  • Algorithm Analysis and Problem Complexity
  • Mathematics of Algorithmic Complexity
  • Programming Techniques
Label
Random-like bi-level decision making, Jiuping Xu, Zongmin Li, Zhimiao Tao, (electronic book)
Instantiates
Publication
Note
Numerical Example
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; 1 Foundations of Random-Like Bi-Level Decision Making; 1.1 Random Sets Theory; 1.1.1 General Concepts; Measure Space; Outer Measures; Probability Space; Product Probability Space; Conditional Probability and Independence; Probability Distribution; 1.1.2 Random Variable; Discrete Random Variable; Continuous Random Variable; Random Vector; 1.1.3 Fuzzy Variable; 1.1.4 Ra-Ra Variable; Discrete Ra-Ra Variable; Continuous Ra-Ra Variable; 1.1.5 Ra-Fu Variable; Discrete Ra-Fu Variable; Continuous Ra-Fu Variable; 1.2 Bi-Level Programming; 1.2.1 Linear Bi-Level Programming
  • 1.2.2 Nonlinear Bi-Level Programming1.2.3 Complexity and Optimality Conditions; 1.2.4 Traditional Methods; KKT Approach; Brand-and-Bound; Penalty Function; Interactive Programming Method; 1.2.5 Developments of Algorithms; 1.3 Synthetical Analysis of Literature; References; 2 Bi-Level Decision Making in Random Phenomenon; 2.1 Regional Water Resources Allocation Problem; 2.1.1 Random Phenomenon; 2.1.2 Bi-Level Description; 2.2 Bi-Level Decision Making Models with Random Coefficients; 2.3 Random EEEE Model; 2.3.1 General Form of Random EEEE Model; 2.3.2 Reference Point Method for Linear Models
  • 2.3.3 Genetic Approach for Nonlinear ModelsRandom Simulation 1 for Expected Value; Goal Programming Method; RWGA; Numerical Example; 2.4 Random CECC Model; 2.4.1 General Form of Random CECC Model; 2.4.2 KKT Method for Linear Model; KKT Method; Numerical Example; 2.4.3 Genetic Algorithm for Nonlinear Model; E-Constraint Method; Random Simulation for Critical Values; EBS-Based GA; Numerical Example; 2.5 Random DEDC Model; 2.5.1 General Form of Random DEDC Model; 2.5.2 Interactive Fuzzy Goal Programming for Linear Model; Interactive Fuzzy Goal Programming Approach; Numerical Example
  • 2.5.3 Random Simulation-Based BPMOGA for Nonlinear ModelRandom Simulation for Probability; Two-Stage Method; BPMOGA; Numerical Example; 2.6 Regional Water Resources Allocation Problem in the Gan-Fu Plain; 2.6.1 Modelling; Assumptions; Lower Level Model for Water Allocation Problems in Sub-areas; Upper Level Model for Water Allocation Problem in the Overall Region; Global Model; 2.6.2 Presentation of the Case Problem; 2.6.3 Parameter Selection for EBS-Based GA; 2.6.4 Results and Discussion; References; 3 Bi-Level Decision Making in Ra-Ra Phenomenon ; 3.1 Transport Flow Distribution Problem
  • 3.1.1 Ra-Ra Phenomenon3.1.2 Bi-Level Description; 3.2 Bi-Level Decision Making Model with Ra-Ra Coefficients; 3.3 Ra-Ra EEDE Model; 3.3.1 General Form of Ra-Ra EEDE Model; 3.3.2 The Steepest Descent Direction Method for Linear Model; Crisp Equivalent Model; The Steepest Descent Direction Method; Numerical Example; 3.3.3 Ra-Ra Simulation-Based PSO for Nonlinear Models; Ra-Ra Simulation for Expected Value and Chance; Lexicographic Method; C-PSO; Numerical Example; 3.4 Ra-Ra ECEC Model; 3.4.1 General Form of Ra-Ra ECEC Model; 3.4.2 A Homotopy Method for Linear Model; Homotopy Method
Control code
SPR957700616
Dimensions
unknown
Extent
1 online resource (411 pages).
File format
unknown
Form of item
online
Isbn
9789811017674
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-1768-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Random-like bi-level decision making, Jiuping Xu, Zongmin Li, Zhimiao Tao, (electronic book)
Publication
Note
Numerical Example
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; 1 Foundations of Random-Like Bi-Level Decision Making; 1.1 Random Sets Theory; 1.1.1 General Concepts; Measure Space; Outer Measures; Probability Space; Product Probability Space; Conditional Probability and Independence; Probability Distribution; 1.1.2 Random Variable; Discrete Random Variable; Continuous Random Variable; Random Vector; 1.1.3 Fuzzy Variable; 1.1.4 Ra-Ra Variable; Discrete Ra-Ra Variable; Continuous Ra-Ra Variable; 1.1.5 Ra-Fu Variable; Discrete Ra-Fu Variable; Continuous Ra-Fu Variable; 1.2 Bi-Level Programming; 1.2.1 Linear Bi-Level Programming
  • 1.2.2 Nonlinear Bi-Level Programming1.2.3 Complexity and Optimality Conditions; 1.2.4 Traditional Methods; KKT Approach; Brand-and-Bound; Penalty Function; Interactive Programming Method; 1.2.5 Developments of Algorithms; 1.3 Synthetical Analysis of Literature; References; 2 Bi-Level Decision Making in Random Phenomenon; 2.1 Regional Water Resources Allocation Problem; 2.1.1 Random Phenomenon; 2.1.2 Bi-Level Description; 2.2 Bi-Level Decision Making Models with Random Coefficients; 2.3 Random EEEE Model; 2.3.1 General Form of Random EEEE Model; 2.3.2 Reference Point Method for Linear Models
  • 2.3.3 Genetic Approach for Nonlinear ModelsRandom Simulation 1 for Expected Value; Goal Programming Method; RWGA; Numerical Example; 2.4 Random CECC Model; 2.4.1 General Form of Random CECC Model; 2.4.2 KKT Method for Linear Model; KKT Method; Numerical Example; 2.4.3 Genetic Algorithm for Nonlinear Model; E-Constraint Method; Random Simulation for Critical Values; EBS-Based GA; Numerical Example; 2.5 Random DEDC Model; 2.5.1 General Form of Random DEDC Model; 2.5.2 Interactive Fuzzy Goal Programming for Linear Model; Interactive Fuzzy Goal Programming Approach; Numerical Example
  • 2.5.3 Random Simulation-Based BPMOGA for Nonlinear ModelRandom Simulation for Probability; Two-Stage Method; BPMOGA; Numerical Example; 2.6 Regional Water Resources Allocation Problem in the Gan-Fu Plain; 2.6.1 Modelling; Assumptions; Lower Level Model for Water Allocation Problems in Sub-areas; Upper Level Model for Water Allocation Problem in the Overall Region; Global Model; 2.6.2 Presentation of the Case Problem; 2.6.3 Parameter Selection for EBS-Based GA; 2.6.4 Results and Discussion; References; 3 Bi-Level Decision Making in Ra-Ra Phenomenon ; 3.1 Transport Flow Distribution Problem
  • 3.1.1 Ra-Ra Phenomenon3.1.2 Bi-Level Description; 3.2 Bi-Level Decision Making Model with Ra-Ra Coefficients; 3.3 Ra-Ra EEDE Model; 3.3.1 General Form of Ra-Ra EEDE Model; 3.3.2 The Steepest Descent Direction Method for Linear Model; Crisp Equivalent Model; The Steepest Descent Direction Method; Numerical Example; 3.3.3 Ra-Ra Simulation-Based PSO for Nonlinear Models; Ra-Ra Simulation for Expected Value and Chance; Lexicographic Method; C-PSO; Numerical Example; 3.4 Ra-Ra ECEC Model; 3.4.1 General Form of Ra-Ra ECEC Model; 3.4.2 A Homotopy Method for Linear Model; Homotopy Method
Control code
SPR957700616
Dimensions
unknown
Extent
1 online resource (411 pages).
File format
unknown
Form of item
online
Isbn
9789811017674
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-1768-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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