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Economic design of x-bar control chart with variable sample size and sampling interval under non-normality assumption: A genetic algorithm

Niaki, S. T. A ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. Publisher: 2012
  3. Abstract:
  4. While the main assumption of an economic model of a variable sample size and sampling interval (VSSI) X-Bar control chart is normality, some process data may not follow a normal distribution. In this paper, a model for an economic design of the VSSI X-Bar chart under non-normality of the process data is first developed. Then a parameter-tuned genetic algorithm is proposed to solve the model and compare its performances in terms of the expected loss per hour to the ones of a fixed sample size and sampling interval X-Bar control charts that works under the normality assumption. Finally, a numerical example is given to illustrate the applications of the proposed methodology and to perform a sensitivity analysis on the model input parameters (i.e. the cost and the process parameter)
  5. Keywords:
  6. Economic design ; Genetic algorithm ; Markov chain ; Non-normality ; Variable sample size and sampling interval
  7. Source: Economic Computation and Economic Cybernetics Studies and Research ; Volume 1 , 2012 ; 0424267X (ISSN)
  8. URL: http://www.ecocyb.ase.ro/2012pdf/Professor%20A%20Niaki%20_T_.pdf