How to perform a simultaneous optimization with several response variables
DOI:
https://doi.org/10.7769/gesec.v14i1.1536Keywords:
Statistical Software, Optimizer, Modeling, Desirability FunctionAbstract
A problem facing the product development community is developing simultaneous solutions of response variables (to several properties) that depends on a number of independent variables or sets of responses. Harrington, among others, addressed this problem and presented a desirability function with a functional approach. Derringer and Suich altered their approach and illustrated how multiple variables can be transformed into a convenience function. This work redid the calculation performed by them using another software and made a comparative discussion of the results found.
Downloads
References
Alketbi, K., Elmualim, A., & Mushtaha, E. S. (2022). Investigating the Factors Influencing the Tqm Implementation on Organizations Performance. International Journal for Quality Research, 16(3), 733–748. https://doi.org/10.24874/IJQR16.03-05 DOI: https://doi.org/10.24874/IJQR16.03-05
Araujo, M. J. F. de, Araújo, M. V. F. de, Araujo Jr, A. H. de, Barros, J. G. M. de, Almeida, M. da G. de, Fonseca, B. B. da, Reis, J. S. D. M., Barbosa, L. C. F. M., Santos, G., & Sampaio, N. A. D. S. (2021). Pollution Credit Certificates Theory: An Analysis on the Quality of Solid Waste Management in Brazil. Quality Innovation Prosperity, 25(3), 1–17. https://doi.org/10.12776/qip.v25i3.1574 DOI: https://doi.org/10.12776/qip.v25i3.1574
Arifin Handoyono, N., Suparmin, Samidjo, Bintoro Johan, A., & Suyitno. (2020). Project-based learning model with real object in vocational school learning. Journal of Physics: Conference Series, 1700(1), 012045. https://doi.org/10.1088/1742-6596/1700/1/012045 DOI: https://doi.org/10.1088/1742-6596/1700/1/012045
Bell, S. O., Shankar, M., Omoluabi, E., Khanna, A., Andoh, H. K., OlaOlorun, F., Ahmad, D., Guiella, G., Ahmed, S., & Moreau, C. (2020). Social network-based measurement of abortion incidence: promising findings from population-based surveys in Nigeria, Cote d’Ivoire, and Rajasthan, India. Population Health Metrics, 18(1), 28. https://doi.org/10.1186/s12963-020-00235-y DOI: https://doi.org/10.1186/s12963-020-00235-y
Chen, I. C., Chen, M. T., & Chung, T. W. (2020). Analysis of antioxidant property of the extract of saponin by experiment design methodology. IOP Conference Series: Earth and Environmental Science, 594(1), 012002. https://doi.org/10.1088/1755-1315/594/1/012002 DOI: https://doi.org/10.1088/1755-1315/594/1/012002
Derringer, G., & Suich, R. (1980). Simultaneous Optimization of Several Response Variables. Journal of Quality Technology, 12(4), 214–219. https://doi.org/10.1080/00224065.1980.11980968 DOI: https://doi.org/10.1080/00224065.1980.11980968
Ding, X., Sun, W., Harrison, G. P., Lv, X., & Weng, Y. (2020). Multi-objective optimization for an integrated renewable, power-to-gas and solid oxide fuel cell/gas turbine hybrid system in microgrid. Energy, 213, 118804. https://doi.org/10.1016/j.energy.2020.118804 DOI: https://doi.org/10.1016/j.energy.2020.118804
Gatza, P., & McMillan, R. (1972). The use of experimental design and computerized data analysis in Elastomer Development Studies. American Chemical Society Fall Meeting, 6(Paper No. 6, Cincinnati, Ohio, October), 3–6.
Goffe, L., Uwamahoro, N. S., Dixon, C. J., Blain, A. P., Danielsen, J., Kirk, D., & Adamson, A. J. (2020). Supporting a Healthier Takeaway Meal Choice: Creating a Universal Health Rating for Online Takeaway Fast-Food Outlets. International Journal of Environmental Research and Public Health, 17(24), 9260. https://doi.org/10.3390/ijerph17249260 DOI: https://doi.org/10.3390/ijerph17249260
Gomes, F. M., Pereira, F. M., Marins, F. A. S., & Silva, M. B. (2019). Comparative study between different methods of agglutination in multiple response optimization. Revista Gestão Da Produção Operações e Sistemas, 14(1), 95–113. https://doi.org/10.15675/gepros.v14i1.2080 DOI: https://doi.org/10.15675/gepros.v14i1.2080
Gomes, F. M., Pereira, F. M., Silva, A. F., & Silva, M. B. (2019). Multiple response optimization: Analysis of genetic programming for symbolic regression and assessment of desirability functions. Knowledge-Based Systems, 179, 21–33. https://doi.org/10.1016/j.knosys.2019.05.002 DOI: https://doi.org/10.1016/j.knosys.2019.05.002
Harrington, E. C. (1965). The Desirability Function. Industrial Quality Control. Industrial Quality Control, 21, 494–498.
Hooke, R., & Jeeves, T. A. (1961). “Direct Search” Solution of Numerical and Statistical Problems. Journal of the ACM, 8(2), 212–229. https://doi.org/10.1145/321062.321069 DOI: https://doi.org/10.1145/321062.321069
Karthikeyan, C., Sreedevi, E., Kumar, N., Vamsidhar, E., Rajesh Kumar, T., & Vijendra Babu, D. (2020). Cost Optimization in Neural Network using Whale Swarm Algorithm with Batched Gradient Descent Optimizer. IOP Conference Series: Materials Science and Engineering, 993(1), 012047. https://doi.org/10.1088/1757-899X/993/1/012047 DOI: https://doi.org/10.1088/1757-899X/993/1/012047
Korolchenko, D., & Minaylov, D. (2020). Method of mathematical modeling for the experimental evaluation of fire retardant materials parameters. IOP Conference Series: Materials Science and Engineering, 1001(1), 012075. https://doi.org/10.1088/1757-899X/1001/1/012075 DOI: https://doi.org/10.1088/1757-899X/1001/1/012075
Kothari, C. R., & Garg, G. (2019). Research methodology methods and techniques. In New Age International (4o). New Age International.
Kulikov, V. (2020). Justification and development of an adaptive algorithm for stochastic optimization of a multi-criteria process. IOP Conference Series: Materials Science and Engineering, 1001(1), 012073. https://doi.org/10.1088/1757-899X/1001/1/012073 DOI: https://doi.org/10.1088/1757-899X/1001/1/012073
Laidani, Z., Tolokonsky, A. O., Abdulraheem, K. K., Ouahioune, M., & Berreksi, R. (2020). Modelling and simulating of a multiple input and multiple output system to control the liquid level and temperature by using model predictive control. Journal of Physics: Conference Series, 1689(1), 012065. https://doi.org/10.1088/1742-6596/1689/1/012065 DOI: https://doi.org/10.1088/1742-6596/1689/1/012065
Lebron, Y. A. R., Moreira, V. R., Drumond, G. P., Gomes, G. C. F., da Silva, M. M., Bernardes, R. de O., Jacob, R. S., Viana, M. M., de Vasconcelos, C. K. B., & Santos, L. V. de S. (2020). Statistical physics modeling and optimization of norfloxacin adsorption onto graphene oxide. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 606(August), 125534. https://doi.org/10.1016/j.colsurfa.2020.125534 DOI: https://doi.org/10.1016/j.colsurfa.2020.125534
Liu, Q., Tang, R., Ren, H., & Pei, Y. (2020). Optimizing multicast routing tree on application layer via an encoding-free non-dominated sorting genetic algorithm. Applied Intelligence, 50(3), 759–777. https://doi.org/10.1007/s10489-019-01547-9 DOI: https://doi.org/10.1007/s10489-019-01547-9
Meisig, J., Dreser, N., Kapitza, M., Henry, M., Rotshteyn, T., Rahnenführer, J., Hengstler, J. G., Sachinidis, A., Waldmann, T., Leist, M., & Blüthgen, N. (2020). Kinetic modeling of stem cell transcriptome dynamics to identify regulatory modules of normal and disturbed neuroectodermal differentiation. Nucleic Acids Research, 48(22), 12577–12592. https://doi.org/10.1093/nar/gkaa1089 DOI: https://doi.org/10.1093/nar/gkaa1089
Muniswamaiah, M., Agerwala, T., & Tappert, C. C. (2020). Approximate Query Processing for Big Data in Heterogeneous Databases. 2020 IEEE International Conference on Big Data (Big Data), 5765–5767. https://doi.org/10.1109/BigData50022.2020.9378310 DOI: https://doi.org/10.1109/BigData50022.2020.9378310
Pesteh, S., Moayyed, H., Miranda, V., Pereira, J., Freitas, V., Simões Costa, A., & London, J. B. A. (2019). A new interior point solver with generalized correntropy for multiple gross error suppression in state estimation. Electric Power Systems Research, 176(June), 105937. https://doi.org/10.1016/j.epsr.2019.105937 DOI: https://doi.org/10.1016/j.epsr.2019.105937
Pimenta, C. D., Silva, M. B., Salomon, V. A. P., Penteado, R. B., & Gomes, F. M. (2015). Application of Desirability and Simplex methodologies to optimize the mechanical properties of hardened steel wires. Production, 25(3), 598–610. https://doi.org/10.1590/0103-6513.094812 DOI: https://doi.org/10.1590/0103-6513.094812
Rajesh Ruban, S., Jayaseelan, P., Suresh, M., & RatnaKandavalli, S. (2020). Effect of textures on machining of carbon steel under dry cutting condition. IOP Conference Series: Materials Science and Engineering, 993(1), 012143. https://doi.org/10.1088/1757-899X/993/1/012143 DOI: https://doi.org/10.1088/1757-899X/993/1/012143
Ramalingam, S. P., Chinnagounder, C., Perumal, M., & Palanisamy, M. A. (2013). Evaluation of New Formulation of Oxyfluorfen (23.5% EC) for Weed Control Efficacy and Bulb Yield in Onion. American Journal of Plant Sciences, 04(04), 890–895. https://doi.org/10.4236/ajps.2013.44109 DOI: https://doi.org/10.4236/ajps.2013.44109
Rathod, L., Poonawala, N., & Rudrapati, R. (2020). Multi response optimization in WEDM of H13 steel using hybrid optimization approach. IOP Conference Series: Materials Science and Engineering, 814(1), 012015. https://doi.org/10.1088/1757-899X/814/1/012015 DOI: https://doi.org/10.1088/1757-899X/814/1/012015
Reis, J. S. D. M., Espuny, M., Cardoso, R. P., Sampaio, N. A. de S., Barros, J. G. M. De, Barbosa, L. C. F. M., & Oliveira, O. J. De. (2022). Mapping Sustainability 4.0: contributions and limits of the symbiosis. Revista de Gestão e Secretariado, 13(3), 1426–1438. https://doi.org/10.7769/gesec.v13i3.1417 DOI: https://doi.org/10.7769/gesec.v13i3.1417
Saha, P., & Alam, M. A. (2022). Smart Management Scheme for the Efficient Control of Industrial Inventory. American Journal of Industrial and Business Management, 12(04), 519–530. https://doi.org/10.4236/ajibm.2022.124028 DOI: https://doi.org/10.4236/ajibm.2022.124028
Sales, J. P. de, Reis, J. S. da M., Barros, J. G. M. de, Fonseca, B. B. da, Junior, A. H. de A., Almeida, M. da G. D. de, Barbosa, L. C. F. M., Santos, G., & Sampaio, N. A. de S. (2022). Quality Management in The Contours of Continuous Product Improvement. International Journal for Quality Research, 16(3), 689–702. https://doi.org/10.24874/IJQR16.03-02 DOI: https://doi.org/10.24874/IJQR16.03-02
Setiawati, E., & Yusuf, W. A. (2020). The ulitization of durian wood (Durio zibethinus) and corn cob (Zea mays) biochar on corn yields in acid sulphate soil. IOP Conference Series: Materials Science and Engineering, 980(1). https://doi.org/10.1088/1757-899X/980/1/012027 DOI: https://doi.org/10.1088/1757-899X/980/1/012027
Short, M., & Selvakumar, A. A. (2020). Non-Linear Tank Level Control for Industrial Applications. Applied Mathematics, 11(09), 876–889. https://doi.org/10.4236/am.2020.119057 DOI: https://doi.org/10.4236/am.2020.119057
Silva, H. de O. G. da, Costa, M. C. M., Aguilera, M. V. C., Almeida, M. da G. D. de, Fonseca, B. B. da, Reis, J. S. da M., Barbosa, L. C. F. M., Santos, G., & Sampaio, N. A. de S. (2021). Improved Vehicle Painting Process Using Statistical Process Control Tools in an Automobile Industry. International Journal for Quality Research, 15(4), 1251–1268. https://doi.org/10.24874/IJQR15.04-14 DOI: https://doi.org/10.24874/IJQR15.04-14
Wang, C.-N., Nguyen, N.-A.-T., & Dang, T.-T. (2020). Solving Order Planning Problem Using a Heuristic Approach: The Case in a Building Material Distributor. Applied Sciences, 10(24), 8959. https://doi.org/10.3390/app10248959 DOI: https://doi.org/10.3390/app10248959
Yang, L., Wang, J., Jiang, Y., & Zou, L. (2020). Oil–water flow splitting in eccentric annular T-junction tubes—Experimental and CFD analysis. Chemical Engineering Science, 228, 116000. https://doi.org/10.1016/j.ces.2020.116000 DOI: https://doi.org/10.1016/j.ces.2020.116000
Yin, R. K. (2017). Case study research: design and methods. In SAGE Publications (6o). SAGE Publications.
Yuan, S., Wang, S., & Meng, Z. (2020). Interval optimization for integrated electrical and natural-gas systems with combined cooling, heating, and power considering demand response. International Transactions on Electrical Energy Systems, 30(8), 1–21. https://doi.org/10.1002/2050-7038.12447 DOI: https://doi.org/10.1002/2050-7038.12447
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Ronald Palandi Cardoso , José Salvador da Motta Reis , Dayana Elizabeth Werderits Silva, José Glenio Medeiros de Barros , Nilo Antonio de Souza Sampaio
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:
• 1. The author(s) authorize the publication of the article in the journal.
• 2. The author(s) ensure that the contribution is original and unpublished and is not being evaluated in other journal(s).
• 3. The journal is not responsible for the opinions, ideas and concepts expressed in the texts because they are the sole responsibility of the author(s).
• 4. The publishers reserve the right to make adjustments and textual adaptation to the norms of APA.
• 5. Authors retain copyright and grant the journal right of first publication, with the work [SPECIFY PERIOD OF TIME] after publication simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
• 6. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
• 7. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access) at http://opcit.eprints.org/oacitation-biblio.html
