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Author : Richard Leston Carter
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)
Download or read book New Designs for the Exploration of Response Surfaces written by Richard Leston Carter and published by . This book was released on 1957 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Leston Carter
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (389 download)
Download or read book New Designs for the Exploration of Response Surfaces written by Richard Leston Carter and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Richard Webb
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (647 download)
Download or read book Exploration of Response Surfaces written by Stephen Richard Webb and published by . This book was released on 1959 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andr I. Khuri
Publisher : World Scientific
ISBN 13 : 9812774734
Total Pages : 474 pages
Book Rating : 4.8/5 (127 download)
Download or read book Response Surface Methodology and Related Topics written by Andr I. Khuri and published by World Scientific. This book was released on 2006 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first edited volume on response surface methodology (RSM). It contains 17 chapters written by leading experts in the field and covers a wide variety of topics ranging from areas in classical RSM to more recent modeling approaches within the framework of RSM, including the use of generalized linear models. Topics covering particular aspects of robust parameter design, response surface optimization, mixture experiments, and a variety of new graphical approaches in RSM are also included. The main purpose of this volume is to provide an overview of the key ideas that have shaped RSM, and to bring attention to recent research directions and developments in RSM, which can have many useful applications in a variety of fields. The volume will be very helpful to researchers as well as practitioners interested in RSM''s theory and potential applications. It will be particularly useful to individuals who have used RSM methods in the past, but have not kept up with its recent developments, both in theory and applications. Sample Chapter(s). Chapter 1: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (560 KB). Contents: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (Y J Yang & N R Draper); Response Surface Experiments on Processes with High Variation (S G Gilmour & L A Trinca); Random Run Order, Randomization and Inadvertent Split-Plots in Response Surface Experiments (J Ganju & J M Lucas); Statistical Inference for Response Surface Optima (D K J Lin & J J Peterson); A Search Method for the Exploration of New Regions in Robust Parameter Design (G Mer-Quesada & E del Castillo); Response Surface Approaches to Robust Parameter Design (T J Robinson & S S Wulff); Response Surface Methods and Their Application in the Treatment of Cancer with Drug Combinations: Some Reflections (K S Dawson et al.); Generalized Linear Models and Response Transformation (A C Atkinson); GLM Designs: The Dependence on Unknown Parameters Dilemma (A I Khuri & S Mukhopadhyay); Design for a Trinomial Response to Dose (S K Fan & K Chaloner); Evaluating the Performance of Non-Standard Designs: The San Cristobal Design (L M Haines); 50 Years of Mixture Experiment Research: 1955OCo2004 (G F Piepel); Graphical Methods for Comparing Response Surface Designs for Experiments with Mixture Components (H B Goldfarb & D C Montgomery); Graphical Methods for Assessing the Prediction Capability of Response Surface Designs (J J Borkowski); Using Fraction of Design Space Plots for Informative Comparisons between Designs (C M Anderson-Cook & A Ozol-Godfrey); Concepts of Slope-Rotatability for Second Order Response Surface Designs (S H Park); Design of Experiments for Estimating Differences between Responses and Slopes of the Response (S Huda). Readership: Researchers in academia and industry interested in response surface methodology and its applications; engineers interested in improving quality and productivity in industry."
Author :
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (859 download)
Download or read book The Exploration of Response Surfaces written by and published by . This book was released on 1980* with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Huaming Zhai
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (825 download)
Download or read book Self-organizing Selection of Experimental Design in Non-parametric Response Surface Exploration written by Huaming Zhai and published by . This book was released on 1990 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George E. P. Box
Publisher : John Wiley & Sons
ISBN 13 : 047007275X
Total Pages : 880 pages
Book Rating : 4.4/5 (7 download)
Download or read book Response Surfaces, Mixtures, and Ridge Analyses written by George E. P. Box and published by John Wiley & Sons. This book was released on 2007-01-22 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.
Author :
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (921 download)
Download or read book The Exploration and Exploitation of Response Surfaces; Some General Considerations and Examples written by and published by . This book was released on with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (946 download)
Download or read book Response Surface Applied to Submarine Concept Exploration written by and published by . This book was released on 2001 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is estimated that 70 to 85 percent of a naval ship's life-cycle cost is determined during the concept exploration phase which places an importance in the methodology used by the designer to select the concept design. But trade-off studies are guided primarily by past experience, rules-of-thumb, and designer preference. This approach is ad hoc, not efficient and may not lead to an optimum concept design. Even worse, once the designer has a 'good' concept design, he has no process or methodology to determine whether a better concept design is possible or not. A methodology is required to search the design space for an optimal solution based on the specified preferences from the customer. But the difficulty is the design space, which is non-linear, discontinuous, and bounded by a variety of constraints, goals, and thresholds. Then the design process itself is difficult to optimize because of the coupling among decomposed engineering disciplines and sub-system interactions. These attributes prevent application of mature optimization techniques including Lagrange multipliers, steepest ascent methods, linear programming, non-linear programming, and dynamic programming. To further improve submarine concept exploration, this thesis examines a statistical technique called Response Surface Methods (RSM). The purpose of RSM is to lead to an understanding of the relationship between the input (factors) and Output (response) variables, often to further the optimization of the underlying process. The RSM approach allows the designers to find a local optimal and examine how the design factors affect the response in the region around the generated optimal point.
Author : David Hien Truong
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (636 download)
Download or read book Single-step Factor Screening and Response Surface Optimization Using Optimal Designs with Minimal Aliasing written by David Hien Truong and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Cheng and Wu (2001) introduced a method for response surface exploration using only one design by using a 3-level design to first screen a large number of factors and then project onto the significant factors to perform response surface exploration. Previous work generally involved selecting designs based on projection properties first and aliasing structure second. However, having good projection properties is of little concern if the correct factors cannot be identified. We apply Jones and Nachtsheim's (2009) method for finding optimal designs with minimal aliasing to find 18, 27, and 30-run designs to use for single-step screening and optimization. Our designs have better factor screening capabilities than the designs of Cheng and Wu (2001) and Xu et al. (2004), while maintaining similar D-efficiencies and allowing all projections to fit a full second order model.
Author : Jenna Tichon
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)
Download or read book Response Surface Methodology for Split-plot Designs with Categorical Factors written by Jenna Tichon and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Split-plot designs often arise in agriculture and industrial experimentation when some factors are harder to vary than others, leading to randomization restrictions. This has an effect on both the run order and analysis of the experiment. Response surface methodology (RSM) split-plot designs for experiments with quantitative factors have received a lot of coverage in the literature. These designs are not appropriate, however, if categorical factors are also present. Draper and John (1988) and Wu and Ding (1998) explore techniques for adding categorical factors to non-split-plot RSM designs. Building on their initial idea of adding the categorical factor sequentially after taking an initial base design in the quantitative factors, this thesis explores how to add a two-level categorical factor in the split-plot RSM setting. Due to the randomization restrictions, adding a categorical factor in the split-plot setting requires considerably more care, in order to meet basic feasibility requirements and to maintain the structure. We explore four techniques for adding categorical factors and present results on requirements for the feasibility of proposed assignments of the categorical factor. We find that not all methods are appropriate for every base design. Throughout the thesis, we expand upon an example of an RSM split-plot experiment in quantitative factors for a ceramic pipe experiment from Vining and Kowalski (2008), by introducing a hypothetical additional categorical factor at either the whole-plot (hard-to-vary) or split-plot (easy-to-vary) level. We discuss optimal strategies for assigning a factor, conduct some initial exploration of the different response surfaces after perturbations to the data using contour plots, and suggest further avenues for analysis. The thesis culminates in tables of D-optimal designs for the various assignment methods based on an algorithm and computer code written for the various assignment methods.
Author : David Alexis Goggins
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (54 download)
Download or read book Response Surface Methods Applied to Submarine Concept Exploration written by David Alexis Goggins and published by . This book was released on 2001 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is estimated that 70 to 85 percent of a naval ship's life-cycle cost is determined during the concept exploration phase which places an importance in the methodology used by the designer to select the concept design. But trade-off studies are guided primarily by past experience, rules-of-thumb, and designer preference. This approach is ad hoc, not efficient and may not lead to an optimum concept design. Even worse, once the designer has a 'good' concept design, he has no process or methodology to determine whether a better concept design is possible or not. A methodology is required to search the design space for an optimal solution based on the specified preferences from the customer. But the difficulty is the design space, which is non-linear, discontinuous, and bounded by a variety of constraints, goals, and thresholds. Then the design process itself is difficult to optimize because of the coupling among decomposed engineering disciplines and sub-system interactions. These attributes prevent application of mature optimization techniques including Lagrange multipliers, steepest ascent methods, linear programming, non-linear programming, and dynamic programming. To further improve submarine concept exploration, this thesis examines a statistical technique called Response Surface Methods (RSM). The purpose of RSM is to lead to an understanding of the relationship between the input (factors) and Output (response) variables, often to further the optimization of the underlying process. The RSM approach allows the designers to find a local optimal and examine how the design factors affect the response in the region around the generated optimal point.
Author : Shelly Loustaunau Price
Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (517 download)
Download or read book Integrating Response Surface Methods and Uncertainty Analysis Into Ship Concept Exploration written by Shelly Loustaunau Price and published by . This book was released on 2002 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept design phase of any type of ship determines the hull form, baseline capabilities, and a large portion of the total program cost. The complexity of the ship design process leads to numerous assumptions and a great deal of uncertainty in the point designs during the concept exploration phase. While it is not feasible to eliminate this uncertainty, it is useful to explore how it affects the overall design. An analysis of the uncertainty associated with each point design provides the designer with additional information for comparing designs. It is important to consider all options and choose the baseline design that best meets the customer's requirements. Current trade-off studies tend to examine a few point designs that may or may not cover the entire design space. This approach relies heavily on designer experience, is inefficient, and may not lead to an optimum baseline design. Response Surface Methods (RSM) provide statistical tools for determining the relationships between factors (inputs) and responses (outputs). When combined with Design of Experiments (DOE), this approach allows the designer to thoroughly investigate the design space using relatively few point designs. The benefit of this analysis is the ability to efficiently examine the effects of changing factors on the overall design. Finally, the combination of RSM and an uncertainty analysis gives the designer a tremendous understanding of the design space. The thesis develops a method allowing the designer to make important decisions, such as hull form or basic mission capabilities of the ship, explicitly showing the uncertainty associated with key design parameters.
Author : George E. P. Box
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (319 download)
Download or read book Empirical Model-Building and Response Surfaces written by George E. P. Box and published by Wiley-Blackwell. This book was released on 1987-01-16 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology, and details least squares for response surface work, factorial designs at two levels, fitting second-order models, adequacy of estimation and the use of transformation, occurrence and elucidation of ridge systems, and more. Some results are presented for the first time. Includes real-life exercises, nearly all with solutions.
Author :
Publisher : Academic Press
ISBN 13 : 0080956017
Total Pages : 545 pages
Book Rating : 4.0/5 (89 download)
Download or read book Simulation Statistical Foundations and Methodology written by and published by Academic Press. This book was released on 1972-09-29 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : Cristina Silvano
Publisher : Springer Science & Business Media
ISBN 13 : 1441988378
Total Pages : 226 pages
Book Rating : 4.4/5 (419 download)
Download or read book Multi-objective Design Space Exploration of Multiprocessor SoC Architectures written by Cristina Silvano and published by Springer Science & Business Media. This book was released on 2011-08-23 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a reference for researchers and designers in Embedded Systems who need to explore design alternatives. It provides a design space exploration methodology for the analysis of system characteristics and the selection of the most appropriate architectural solution to satisfy requirements in terms of performance, power consumption, number of required resources, etc. Coverage focuses on the design of complex multimedia applications, where the choice of the optimal design alternative in terms of application/architecture pair is too complex to be pursued through a full search comparison, especially because of the multi-objective nature of the designer’s goal, the simulation time required and the number of parameters of the multi-core architecture to be optimized concurrently.
Author :
Publisher :
ISBN 13 :
Total Pages : 638 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings written by and published by . This book was released on 1983 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
