The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Simultaneous Optimization of Multiple Responses Represented by Polynomial Regression Functions
Abstract
An algorithm is developed for the simultaneous optimization of several response functions that depend on the same set of controllable variables and are adequately represented by polynomial regression models of the same degree. The data are first checked for linear dependencies among the responses. If such dependencies exist, a basic set of responses among which no linear functional relationships exist is chosen and used in developing a function that measures the distance of the vector of estimated responses from the estimated “ideal” optimum. This distance function permits the user to account for the variances and covariances of the estimated responses and for the random error variation associated with the estimated ideal optimum. Suitable operating conditions for the simultaneous optimization of the responses are specified by minimizing the prescribed distance function over the experimental region. An extension of the optimization procedure to mixture experiments is also given and the method is illustrated by two examples.
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Cites
An Introduction to Multivariate Statistical Analysis
Muirhead, R. J., & Anderson, T. W. (1986) · Journal of Business & Economic Statistics · doi:10.2307/1391399 · Cited by 9,082
Simultaneous Optimization of Several Response Variables
Derringer, G., & Suich, R. (1980) · Journal of Quality Technology · doi:10.1080/00224065.1980.11980968 · Cited by 5,212
On the Experimental Attainment of Optimum Conditions
Box, G. E. P., & Wilson, K. B. (1951) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1951.tb00067.x · Cited by 4,464
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On the Experimental Attainment of Optimum Conditions
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Rectangular Confidence Regions for the Means of Multivariate Normal Distributions
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The Relationship Between Variable Selection and Data Agumentation and a Method for Prediction
Allen, D. M. (1974) · Technometrics · doi:10.1080/00401706.1974.10489157 · Cited by 1,469
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Cited by
Khuri, A. I., & Mukhopadhyay, S. (2010) · WIREs Computational Statistics · doi:10.1002/wics.73 · Cited by 2,113
Self-citationA review of optimization techniques in metal cutting processes
Mukherjee, I., & Ray, P. K. (2006) · Computers & Industrial Engineering · doi:10.1016/j.cie.2005.10.001 · Cited by 549
Metadata
- Authors
- Khuri, A. I., & Conlon, M.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1981-11
- Volume
- 23
- Issue
- 4
- Pages
- 363-375
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2033279142
- Cited by
- 386
- References
- 16
- FWCI
- 2.08
- Type
- journal article
- Language
- en
- Open access
- closed
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