The DOI matches its Crossref record.
A Nonlinear Programming Solution to the Dual Response Problem
Abstract
Recently, Vining and Myers presented a methodology for achieving some of the goals of the Taguchi philosophy using response surface methods and a dual response optimization approach. This paper shows how the same goals can be achieved using standard nonlinear programming techniques, specifically, the generalized reduced gradient (GRG) algorithm. The procedure is illustrated using examples taken from the literature. It is shown that the proposed method can be more flexible and easier to use than the dual response approach and, in some cases, can give better solutions within the region of interest. In conclusion, it is shown how the method can be applied to multiple response mixture experiments.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Khuri, A. I., & Mukhopadhyay, S. (2010) · WIREs Computational Statistics · doi:10.1002/wics.73 · Cited by 2,113
A 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
An Attempt to Minimize the Cost of Extracting Lithium from Boron Clays Through Robust Process Design
Büyükburç, A., & Köksal, G. (2005) · Clays and Clay Minerals · doi:10.1346/ccmn.2005.0530310 · Cited by 18
Metadata
- Authors
- Del Castillo, E., & Montgomery, D. C.
- Venue
- Journal of Quality Technology
- Publisher
- Informa UK Limited
- Published
- 1993-07
- Volume
- 25
- Issue
- 3
- Pages
- 199-204
- ISSN
- 0022-4065 (ISSN-L)
- 2575-6230
- OpenAlex
- W1894141034
- Cited by
- 299
- References
- 0
- FWCI
- 9.44
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A Nonlinear Programming Solution to the Dual Response Problem. https://app.cochat.ai/papers/10.1080/00224065.1993.11979454
- The paper
- Del Castillo, E., & Montgomery, D. C. (1993). A Nonlinear Programming Solution to the Dual Response Problem. Journal of Quality Technology. https://doi.org/10.1080/00224065.1993.11979454
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
