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.

The history of industry is marked by revolutions, the Fourth Industrial Revolution provides opportunities for sustainability, and means to reduce environmental degradation and social inclusion. This article aims to identify which factors impact the sustainability of an organization. The exploratory research was carried out by means of literature review and bibliographic research to achieve the objective of conducting a bibliometric study, identifying the evolution of publications, and the authors that make up this field of knowledge. It is necessary for companies and industries to be introduced to the global changes that Industry 4.0 has introduced in the manufacturing environment, making it possible to develop sustainable processes and products.

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This study aimed to identify the research gaps in Metaheuristics, taking into account the publications entered in a database in 2015 and to present a case study of a company in the Sul Fluminense region using the Desirability function. To achieve this goal, applied research of exploratory nature and qualitative approach was carried out, as well as another of quantitative nature. As method and technical procedures were the bibliographical research, some literature review, and an adopted case study respectively. As a contribution of this research, the holistic view of opportunities to carry out new investigations on the theme in question is pointed out. It is noteworthy that the identified study gaps after the research were prioritized and discriminated, highlighting the importance of the viability of metaheuristic algorithms, as well as their benefits for process optimization.

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