Multivariate quality loss function cost parameter estimation

2021-08-23
Köksal, Gülser
Dolgun, Leman Esra
In this study, we consider estimating the cost matrix parameters of the multivariate quality loss function which is commonly used in product and process design parameter optimization. Multivariate quality loss functions consider multiple responses simultaneously for determining the optimal levels of design parameters that yield a high-quality performance. They are also used in quality improvement decision making and statistical tolerancing. To that end, we propose an interactive and evolutionary method for estimating the cost matrix parameters of the multivariate quality loss functions. We present the applicability of the method on a real-life example based on the honing operation of the automotive industry. Additionally, we conduct a computational experiment to show that the problem converges to the underlying loss function after a few iterations even when the information provided by the decision-maker contains certain degrees of errors. The convergence is also shown for di erent variance-covariance structures.
The 22nd Conference of the International Federation of Operational Research Societies

Suggestions

Multiple linear regression model with stochastic design variables
İslam, Muhammed Qamarul (Informa UK Limited, 2010-01-01)
In a simple multiple linear regression model, the design variables have traditionally been assumed to be non-stochastic. In numerous real-life situations, however, they are stochastic and non-normal. Estimators of parameters applicable to such situations are developed. It is shown that these estimators are efficient and robust. A real-life example is given.
Integrated nonlinear regression analysis of tracer and well test data
Akın, Serhat (Elsevier BV, 2003-08-01)
One frequent observation from conventional pressure transient test analysis is that field data match mathematical models derived for homogeneous systems. This observation suggests that pressure data as presently interpreted may not contain details concerning certain reservoir heterogeneities. On the other hand, tracer tests may be more sensitive to heterogeneous elements present in the reservoir because of the convective nature of the flow test. In this study, a possible improvement of conventional pressure...
AN APPROACH FOR DETERMINING THE COST MATRIX OF MULTIVARIATE QUALITY LOSS FUNCTION
Dolgun, Leman Esra; Erişkin, Levent; Özkan, Gökçe; Köksal, Gülser (2020-11-01)
Multivariate quality loss functions are commonly used in product and process design parameter optimization, which involves simultaneous consideration of multiple responses in determination of the levels of design parameters that provide high quality performance. These functions are also used in statistical tolerancing and quality improvement decision making. This study investigates the bivariate loss function in terms of its ability to represent different values or preferences a decision maker may attribute...
Nonconvex optimization of desirability functions
Akteke-Ozturk, Basak; Köksal, Gülser; Weber, Gerhard Wilhelm (Informa UK Limited, 2018-01-01)
Desirability functions (DFs) are commonly used in optimization of design parameters with multiple quality characteristic to obtain a good compromise among predicted response models obtained from experimental designs. Besides discussing multi-objective approaches for optimization of DFs, we present a brief review of literature about most commonly used Derringer and Suich type of DFs and others as well as their capabilities and limitations. Optimization of DFs of Derringer and Suich is a challenging problem. ...
Applications of simulated annealing for the design of special digital filters - Comments
Çiloğlu, Tolga; Ünver, Zafer (1996-04-01)
The way of measuring the performance of a discrete coefficient filter which is designed by scaling optimization is discussed.
Citation Formats
G. Köksal and L. E. Dolgun, “Multivariate quality loss function cost parameter estimation,” presented at the The 22nd Conference of the International Federation of Operational Research Societies, Seoul, Güney Kore, 2021, Accessed: 00, 2021. [Online]. Available: https://www.ifors2021.kr/sub02/sub01_detail.php?pno=TF-2.