The only book on the market devoted to sequential simplex optimization This book presents an easy-to-learn, effective optimization technique that can be applied immediately to many problems in the real world. The sequential simplex is an evolutionary operation (EVOP) technique that uses experimental results-it does not require a mathematical model. The authors present their subject with a level of detail and clarity that is refreshingly welcome in a technical text. The basics are presented first, followed by a detailed discussion of the fine points needed to get the most out of this optimization technique. Worksheets are provided and their use is illustrated with step-by-step worked examples. This makes the logic and calculations of the simplex algorithms easy to understand and follow. The text also provides more than 200 figures and over 500 references to sequential simplex applications, which allows rapid access to specific examples of the use of the technique in a wide range of applications. Sequential Simplex Optimization: A Technique for Improving Quality and Productivity in Research, Development, and Manufacturing is essential for any student or professional who desires to learn this innovative technique quickly and easily.
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THE NEED FOR OPTIMIZATION. Quality. Statistical Process Control. Control Charts. Environmental Design. Quality by Design. The Role of Experimental Design. What We Must Do. SYSTEMS THEORY AND RESPONSE SURFACES. Single-Factor Systems. Multi-Factor Systems. Optimization Strategies. Evolutionary Operation (EVOP). Simplex EVOP. THE BASIC SIMPLEX ALGORITHM. Definition of a Simplex. Simplexes in Various Dimensions. The Simplex Reflection Move. Vector Representation of Vertexes. Simplex Terminology. Simplex Calculations. A Worked Example.Self-Test for the Basic Simplex Algorithm. THE VARIABLE-SIZE SIMPLEX ALGORITHM. The Variable-Size Simplex Rules. The Variable-Size Worksheet. A Worked Example. Self-Test for the Variable-Size Simplex Algorithm. COMMENTS ON FIXED-SIZE AND VARIABLE-SIZE SIMPLEXES. Self-Tests for the Fixed- and Variable-Size Simplexes. General Behavior of Small Starting Simplexes. Becoming Stranded on a Ridge. Strategies for Using the Fixed-Size Simplex. Strategies for Using the Variable-Size Simplex. A Curious Success Story. PRE-SIMPLEX CONCERNS. When to Use Simplex Optimization. Selection of the Type of Simplex Algorithm. Treatment of Factors. Placement of the Initial Simplex. Step Sizes. Initial Placement Algorithms. Response. Noise. Replication. Convergence. ADDITIONAL CONCERNS AND TOPICS. When the New Vertex is the Worst Vertex. More on the Selection of Factors. Constraints on Factors. Other Types of Simplex Algorithms. Multiple Criteria Optimization. Objective Functions. Objective Functions Based on Ratios. Objective Functions Based on Penalty Functions. Desirability Functions. Overall Desirabilities. EXPERIMENTAL DESIGN. Models. Regression Analysis. Analysis of Variance for Linear Models. Experimental Design. An Example. APPLICATIONS IN CHEMISTRY. Applications in Analytical Chemistry. Applications in Other Branches of Chemistry. Numerical Applications. SIMPLEX OPTIMIZATION.
Book by Walters Fred H Parker Jr Lloyd R Morgan Stephen L
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