Advanced Optimization and Decision-Making Techniques in Textile Manufacturing PDF by Anindya Ghosh, Prithwiraj Mal, Abhijit Majumdar

11:39 PM
Advanced Optimization and Decision-Making Techniques in Textile Manufacturing
by Anindya Ghosh
Prithwiraj Mal
Abhijit Majumdar
Advanced Optimization and Decision-Making Techniques in Textile Manufacturing

Contents
Preface.......................................................................................................................xi
About the Authors...............................................................................................xiii
1. Introduction to Decision-Making and Optimization Techniques........1
1.1 Introduction............................................................................................1
1.2 Decision-Making Process and Classification.....................................1
1.2.1 Decision-Making Under Certainty, Risk, and Uncertainty................................................................................3
1.2.2 Multicriteria Decision-Making...............................................6
1.3 Optimization..........................................................................................8
1.3.1 Linear Programming................................................................9
1.3.2 Multiobjective Optimization and Goal Programming.......9
1.3.3 Nontraditional Optimization Algorithms..........................11
1.3.3.1 Genetic Algorithm..................................................11
1.3.3.2 Particle Swarm Optimization................................13
1.3.3.3 Simulated Annealing..............................................13
1.4 Summary...............................................................................................14
References........................................................................................................14
2. Analytic Hierarchy Process.........................................................................15
2.1 Introduction..........................................................................................15
2.2 Analytic Hierarchy Process Methodology.......................................16
2.2.1 Importance of Hierarchical Structure..................................22
2.2.2 Rank Reversal in Analytic Hierarchy Process....................22
2.2.3 Multiplicative Analytic Hierarchy Process.........................26
2.3 Fuzzy Analytic Hierarchy Process....................................................26
2.3.1 Fuzzy Numbers and Their Operations...............................26
2.3.2 Developing Decision Hierarchy and Constructing Fuzzy Comparison Matrix....................................................27
2.3.3 Computing Criteria Weights.................................................28
2.3.4 Example of Fuzzy Analytic Hierarchy Process Application...............................................................................30
2.4 Summary...............................................................................................32
References........................................................................................................32
3. Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS).........................................................................................35
3.1 Introduction..........................................................................................35
3.2 TOPSIS Methodology..........................................................................35
3.3 Step-by-Step Working Principles of TOPSIS....................................39
3.4 Application of TOPSIS in Textiles......................................................43
3.4.1 Selection of Handloom Fabrics for Summer Clothing Using TOPSIS..........................................................................44
3.5 Fuzzy-TOPSIS Method........................................................................50
3.6 Step-by-Step Working Principles of Fuzzy-TOPSIS........................54
3.7 MATLAB® Coding...............................................................................58
3.8 Summary...............................................................................................62
References........................................................................................................62
4. Elimination and Choice Translating Reality (ELECTRE).....................65
4.1 Introduction..........................................................................................65
4.2 ELECTRE Methodology......................................................................65
4.3 Step-by-Step Working Principles of ELECTRE Method.................70
4.4 Application of ELECTRE Method in Textiles..................................75
4.4.1 Selection of Bulletproof Body Armors Using ELECTRE Method...................................................................76
4.5 MATLAB® Coding...............................................................................80
4.6 Summary...............................................................................................83
References........................................................................................................83
5. Graph Theory and Matrix Approach of Decision-Making...................85
5.1 Introduction..........................................................................................85
5.2 Graph Theory and Matrix Approach................................................85
5.3 Step-by-Step Working Principles of Graph Theory and Matrix Approach..................................................................................90
5.4 Application of Graph Theory and Matrix Approach of Decision-Making in Textiles..........................................................92
5.4.1 Cotton Fiber Selection Using Graph Theory and Matrix Approach.............................................................92
5.5 MATLAB® Coding...............................................................................95
5.6 Summary...............................................................................................96
References........................................................................................................96
6. Linear Programming.....................................................................................99
6.1 Introduction..........................................................................................99
6.2 Linear Programming Problem Formulation....................................99
6.2.1 General Form of a Linear Programming Problem...........102
6.3 Graphical Method..............................................................................103
6.4 Simplex Method.................................................................................108
6.4.1 Big M Method........................................................................112
6.4.2 Two-Phase Method...............................................................117
6.5 Applications........................................................................................122
6.6 MATLAB® Coding.............................................................................122
6.7 Summary.............................................................................................124
References......................................................................................................124
7. Fuzzy Linear Programming......................................................................127
7.1 Introduction........................................................................................127
7.2 Crisp Set, Fuzzy Set, and Membership Function..........................127
7.2.1 Fuzzy Set Operations...........................................................129
7.3 Fuzzy Linear Programming Algorithm.........................................131
7.4 Applications........................................................................................140
7.5 MATLAB® Coding.............................................................................140
7.6 Summary.............................................................................................141
References......................................................................................................141
8. Quadratic Programming............................................................................143
8.1 Introduction........................................................................................143
8.2 Quadratic Programming Algorithm...............................................143
8.2.1 Lagrangian Function............................................................144
8.2.2 Kuhn-Tucker Conditions......................................................145
8.2.3 Wolfe’s Method to Solve Quadratic Programming Problem..................................................................................147
8.3 Application of Wolfe’s Method for Solving Quadratic Programming Problem in Textile Field..........................................154
8.4 MATLAB® Coding.............................................................................157
8.5 Summary.............................................................................................160
References......................................................................................................160
9. Genetic Algorithm.......................................................................................163
9.1 Introduction........................................................................................163
9.2 Genetic Algorithm.............................................................................164
9.2.1 Representation.......................................................................164
9.2.2 Fitness Evaluation.................................................................165
9.2.3 Reproduction.........................................................................165
9.2.4 Crossover...............................................................................167
9.2.5 Mutation.................................................................................171
9.2.6 Flowchart of a Genetic Algorithm......................................172
9.3 Step-by-Step Working Principle of Genetic Algorithm................173
9.4 Application of Genetic Algorithm in Textiles................................184
9.4.1 Application of Genetic Algorithm in Fitting Stress–Strain Curve of Fibers..............................................185
9.5 MATLAB® Coding.............................................................................190
9.6 Summary.............................................................................................193
References......................................................................................................193
10. Particle Swarm Optimization...................................................................195
10.1 Introduction........................................................................................195
10.2 Particle Swarm Optimization...........................................................195
10.2.1 Flowchart of Particle Swarm Optimization......................198
10.3 Step-by-Step Working Principle of Particle Swarm Optimization......................................................................................199
10.4 Application of Particle Swarm Optimization in Textiles.............208
10.4.1 Application of Particle Swarm Optimization in Fabric Engineering................................................................208
10.5 MATLAB® Coding.............................................................................215
10.6 Summary.............................................................................................218
References......................................................................................................218
11. Simulated Annealing..................................................................................221
11.1 Introduction........................................................................................221
11.2 Simulated Annealing.........................................................................221
11.2.1 Flowchart of Simulated Annealing....................................225
11.3 Step-by-Step Working Principle of Simulated Annealing...........225
11.4 Application of Simulated Annealing in Textiles...........................235
11.4.1 Application of Simulated Annealing in Yarn Engineering...........................................................................235
11.5 MATLAB® Coding.............................................................................239
11.6 Summary.............................................................................................242
References......................................................................................................242
12. Multiobjective Optimization....................................................................245
12.1 Introduction........................................................................................245
12.2 Goal Programming............................................................................245
12.2.1 Goal Programming with One Goal....................................246
12.2.2 Goal Programming with Multiple Goals..........................247
12.2.2.1 Non-Preemptive Goal Programming.................248
12.2.2.2 Goal Programming with Differential Weighting...............................................................249
12.2.2.3 Preemptive Goal Programming..........................250
12.3 Multiobjective Optimization Using Desirability Function..........252
12.3.1 Application of Desirability Function Approach for Multiobjective Optimization...............................................254
12.3.2 Multiobjective Optimization of Air Permeability, Thermal Conductivity, and Ultraviolet Protection Factor of Knitted Fabrics Using Desirability Function................................................254
12.4 Multiobjective Optimization Using Evolutionary Algorithm............................................................................................257
12.4.1 Application of Evolutionary Algorithm Approach for Multiobjective Optimization...............................................273
12.4.1.1 Using Two Objective Functions: Spinning Consistency Index and Yarn Strength.........................................................274
12.4.1.2 Using Three Objective Functions: Air Permeability, Thermal Conductivity, and Ultraviolet Protection Factor of Knitted Fabrics.....................................................................275
12.5 MATLAB® Coding.............................................................................276
12.6 Summary.............................................................................................291
References......................................................................................................291
Index......................................................................................................................293

To get this book send email: textileebooks@gmail.com

To get this book send email: textileebooks@gmail.com

Share this

Related Posts

Previous
Next Post »