دورية أكاديمية

Nonconvex optimization of desirability functions

التفاصيل البيبلوغرافية
العنوان: Nonconvex optimization of desirability functions
المؤلفون: Akteke-Ozturk, Basak, Köksal, Gülser, Weber, Gerhard Wilhelm
بيانات النشر: Informa UK Limited
QUALITY ENGINEERING
سنة النشر: 2018
مصطلحات موضوعية: Industrial and Manufacturing Engineering, Safety, Risk, Reliability and Quality
الوصف: 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. Although they have an advantageous shape over other DFs, their nonsmooth nature is a drawback. Commercially available software products used by quality engineers usually do optimization of these functions by derivative free search methods on the design domain (such as Design-Expert), which involves the risk of not finding the global optimum in a reasonable time. Use of gradient-based methods (as in MINITAB) after smoothing nondifferentiable points is also proposed as well as different metaheuristics and interactive multi-objective approaches, which have their own drawbacks. In this study, by utilizing a reformulation on DFs, it is shown that the nonsmooth optimization problem becomes a nonconvex mixed-integer nonlinear problem. Then, a continuous relaxation of this problem can be solved with nonconvex and global optimization approaches supported by widely available software programs. We demonstrate our findings on two well-known examples from the quality engineering literature and their extensions.
نوع الوثيقة: article in journal/newspaper
اللغة: unknown
تدمد: 0898-2112
العلاقة: Akteke-Ozturk B., Köksal G., Weber G. W. , "Nonconvex optimization of desirability functions", QUALITY ENGINEERING, cilt.30, ss.293-310, 2018; 310; 85021083396; 293; https://hdl.handle.net/11511/35740Test; 30; WOS:000426151900009
DOI: 10.1080/08982112.2017.1315136
الإتاحة: https://doi.org/10.1080/08982112.2017.1315136Test
https://hdl.handle.net/11511/35740Test
حقوق: Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0Test/
رقم الانضمام: edsbas.E44BFC24
قاعدة البيانات: BASE
الوصف
تدمد:08982112
DOI:10.1080/08982112.2017.1315136