Capability index analysis in short-terms production at the machine supplier and initial manufacturing facility
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Índice
Purpose – The objective of this paper is to provide a statistical method to approve capability index of new machines that are in the supplier or in the startup of production.
Design/methodology/approach – The approach methodologic involved the development of a mathematical model and the use of simulation to find critical value of Cp and Cpk index to approve machine in the supplier or in the startup of production.
Findings – A statistical probability density function was built to give support in testing short-term capability index. Using numerical analysis, critical values for Cpk and Cp was found. An illustrative case showed the application of proposed method.
Research limitations/implications – The proposed method concerning a short-term sampling for variables that follow a normal distribution. Asymmetric probability distribution is not considered.
Practical implications – In testing machine supplier or pre-production, normally practitioners have used the Cp/Cpk index. However, in general, the practitioners have not been considered the Cp and Cpk as random variables. This paper provides a supportive statistical method to approve machine’ capability.
Originality/value – There are not many works that give a supportive method to approve machine capability index.
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capability index, Cp/Cpk index, statistical testing, supplier machine, short-terms production