Optimization and industrial experimentation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Wiley
1980
|
| Series: | A Wiley-interscience publication.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 368 S. |
| ISBN: | 0471042447 |
Staff View
MARC
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| 100 | 1 | |a Biles, William E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Optimization and industrial experimentation |c William E. Biles ; James J. Swain |
| 264 | 1 | |a New York |b Wiley |c 1980 | |
| 300 | |a XII, 368 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Introduction 1
Fundamental Concepts in Experimentation, 1
Fundamental Concepts in Optimization, 5
Classical Optimization, 7
Functions, 7
Function Continuity, 9
Characteristics of Functions, 9
Conditions for an Optimum, 12
Approaches to Optimization, 14
Analytical Methods, 15
Numerical Methods, 15
Mathematical Programming, 17
Linear Functions, 18
Nonlinear Functions, 18
Optimization through Experimentation, 21
Overview of the Book, 24
References, 26
2 Fundamental Statistical Concepts 28
Basic Probability, 28
Random Experiment, 29
Sample Space, 29
Probability, 31
Events, 32
Operations with Events, 34
Conditional Probability, 35
Random Variables, 37
Probability Distributions, 38
Expectation, 41
vfl
viii Contents
Discrete Probability Distributions, 43
Bernoulli Trial, 44
Binomial Distribution, 45
Poisson Distribution, 47
Continuous Probability Distributions, 49
Uniform Distribution, 49
Exponential Distribution, 50
Gamma Distribution, 51
Normal Distribution, 52
Bivariate Normal Distribution, 54
Sampling and Sampling Distributions, 55
Tabular and Graphical Representation of Samples, 58
Sample Statistics, 59
Sampling Distributions, 61
Normal Distribution, 61
Student s t Distribution, 63
Chi-Square Distribution, 64
Snedecor s F Distribution, 65
Estimation of Population Parameters, 66
Point Estimation, 67
Interval Estimation, 67
Statistical Tests of Hypothesis, 68
Tests on Means, 71
Tests on Variances, 73
Goodness of Fit Tests, 74
Chi-Square Test, 74
Kolmogorov-Smirnov Test, 77
Regression and Correlation, 77
Linear Regression, 78
Hypothesis Tests on the Slope and Intercept, 80
Curvilinear Regression, 83
Multiple Regression, 86
Correlation, 87
Analysis of Variance, 89
One-Way Analysis of Variance, 90
Two-Way Analysis of Variance, 94
Summary, 97
References, 97
Contents ix
3 Experimental Design Fundamentals 99
Regression Analysis, 99
Matrix Representation, 99
Statistical Properties of the Least-Squares
Estimates, 102
Bias and Lack-of-Fit, 106
Residual Analysis, 109
Distribution of the Residuals, 110
Outliers, 111
Graphical Procedures, 112
Properties of Residuals, 113
Some Computational Considerations of
Least-Squares Methods, 114
Coding, 116
Solution of the Normal Equations, 117
Linear Dependence and Sensitivity, 117
Curve Fitting, 118
Generating the Polynomials, 121
Experimental Designs for Linear and Quadratic
Response Surfaces, 121
Coding Conventions, 123
First Order Designs, 124
Factorial Designs, 124
Simplex Designs, 132
Second-Order Response Surface Models, 135
Form of the Model, 136
Central Composite Design, 137
Other Designs, 147
Design Blocking, 152
Design Criteria, 153
Advanced Regression Topics, 155
Linearizing Transformations, 155
Explicitly Constrained Least Squares, 157
Implicitly Constrained Least Squares, 160
Weighted Least Squares, 166
Maximum Likelihood Methods, 168
Nonlinear Regression and Modeling, 171
Screening Experiments, 175
References, 178
x Contents
4 Fundamentals of Optimization 181
Introduction, 181
Single-Variable Optimization, 183
Interval Reduction Methods, 184
Fibonacci Search, 186
Multivariable Optimization, 189
Direct Search Techniques, 189
Random Search, 189
Sequential Simplex Search, 192
Complex Search, 195
Pattern Search, 195
Modifications for Constrained Direct Search, 197
Gradient Based Unconstrained Optimization, 199
Ridge Analysis, 203
Gradient Search: Hill Climbing, 205
Newton Algorithm: Second-Order Methods, 206
Conjugate Gradient, Fletcher Reeves, and
Partan Algorithms, 208
The Constrained Optimization Problem, 212
Applications of the Lagrangian Analysis, 216
Algorithms for Solving Least-Squares Problems, 221
Constraint Handling, 225
Multiple Objective Optimization, 229
Weighted Optimization, 230
Threshold Methods, 231
Goal Programming, 232
Geoffrion-Dyer Algorithm, 234
Nondominated Vector Optimal Solutions, 235
References, 235
5 Optimization Via Experimentation 238
Overview of the Experimental Optimization Problem, 238
Response Surface Methods, 241
Preliminary: Analysis and Screening, 242
Steepest Ascent, 243
Line Searches, 244
Linear Techniques and Constraints, 245
Second-Order Designs, 247
Contents xi
Problem Formulations, 247
Constrained Optimization, 248
Multiple-Objective Optimization, 248
Optimization Techniques, 249
Direct Search Methods, 250
First-Order Response Surface Methods, 252
Second-Order Response Surface Methods, 255
Effect of Bias and Design on Optimization Methodology, 256
Steepest Ascent with a Full Factorial Design, 257
Steepest Ascent with a Simplex Design, 262
Three Second-Order Experiments, 264
Application of Constrained Optimization Methodologies, 270
Gradient Projection Method, 271
Multiple Gradient Summation Technique, 274
Constrained Gradient Approach, 276
A Simplified Zoutendijk Approach, 279
A Nonlinear Zoutendijk Approach, 281
Second-Order Approach, 285
Summary, 286
References, 287
6 Optimization and Experimentation with Physical Processes 289
Example 1. Optimizing Cutting Fluid Pressure in Machining, 289
Golden Section Search, 290
Polynomial Regression, 291
Example 2. Optimizing Yield in a Chemical Process, 293
Augmented 23 Factorial Design, 294
Central Composite Design, 296
Box s Complex Search, 297
Example 3. Multiple Independent Variables, Multiple Responses with
a Machining Parameters Problem, 299
Central Composite Design, 299
Example 4. Multiple Independent Variables, Multiple Responses with
Chemical Processes, 303
Central Composite Design, 305
Summary, 311
References, 311
xli Contents
7 Optimization and Computer Simulation Experiments 313
Basic Concepts, 314
Introduction, 314
Models, Systems, and Simulation, 315
Design of Simulation Models, 316
Simulation Languages, 317
Time Control, 319
Monte Carlo Sampling, 320
Random Number Generation, 322
Random Variate Generation, 325
Statistical Techniques in Computer Simulation, 327
Input Analysis, 327
Estimation, 328
Output Analysis, 329
Design of Computer Simulation Experiments, 330
Variance Reduction Techniques, 331
Optimization of Simulation Parameters, 333
Simulation and Optimization: A Historical Survey, 334
A General Procedure, 336
Simulation Examples, 336
References, 338
Appendix A
Selected Statistical Tables 341
Appendix B
Review of Matrix Algebra 355
Index 365
|
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| id | DE-604.BV001997011 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:36Z |
| institution | BVB |
| isbn | 0471042447 |
| language | English |
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| physical | XII, 368 S. |
| publishDate | 1980 |
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| publisher | Wiley |
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| series2 | A Wiley-interscience publication. |
| spelling | Biles, William E. Verfasser aut Optimization and industrial experimentation William E. Biles ; James J. Swain New York Wiley 1980 XII, 368 S. txt rdacontent n rdamedia nc rdacarrier A Wiley-interscience publication. Experimental design Mathematical optimization Response surfaces (Statistics) System analysis Operations Research (DE-588)4043586-6 gnd rswk-swf Versuchsanlage (DE-588)4280406-1 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Operations Research (DE-588)4043586-6 s Versuchsanlage (DE-588)4280406-1 s Optimierung (DE-588)4043664-0 s DE-604 Swain, James J. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001302669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Biles, William E. Swain, James J. Optimization and industrial experimentation Experimental design Mathematical optimization Response surfaces (Statistics) System analysis Operations Research (DE-588)4043586-6 gnd Versuchsanlage (DE-588)4280406-1 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4043586-6 (DE-588)4280406-1 (DE-588)4043664-0 |
| title | Optimization and industrial experimentation |
| title_auth | Optimization and industrial experimentation |
| title_exact_search | Optimization and industrial experimentation |
| title_full | Optimization and industrial experimentation William E. Biles ; James J. Swain |
| title_fullStr | Optimization and industrial experimentation William E. Biles ; James J. Swain |
| title_full_unstemmed | Optimization and industrial experimentation William E. Biles ; James J. Swain |
| title_short | Optimization and industrial experimentation |
| title_sort | optimization and industrial experimentation |
| topic | Experimental design Mathematical optimization Response surfaces (Statistics) System analysis Operations Research (DE-588)4043586-6 gnd Versuchsanlage (DE-588)4280406-1 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Experimental design Mathematical optimization Response surfaces (Statistics) System analysis Operations Research Versuchsanlage Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001302669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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