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Comparison of Semi-Economic and -R Control Charts for Non-Ageing and Ageing Process

Author

Listed:
  • Turnes Osiris

    (Departamento de Estatística, IE, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil)

  • Lee Ho Linda

    (Departamento de Engenharia de Produção, EP, Universidade de São Paulo, Caixa Postal 61548, São Paulo, SP 05424-970, Brazil)

  • Imaña Christian Rainier

    (Institut für Mathematik, Universität Göttingen, Germany)

Abstract

This paper compares semi-economic -control charts and -R control charts assuming two different discrete distributions for the length of the in-control period of a production process with regeneration points given by the alarms signals. Sample sizes and control limits for a set of parameters are calculated for both models. For comparison purposes, values of average cost and of probabilities of Type I and II errors are also computed and displayed.

Suggested Citation

  • Turnes Osiris & Lee Ho Linda & Imaña Christian Rainier, 2002. "Comparison of Semi-Economic and -R Control Charts for Non-Ageing and Ageing Process," Stochastics and Quality Control, De Gruyter, vol. 17(1), pages 99-112, January.
    • Handle: RePEc:bpj:ecqcon:v:17:y:2002:i:1:p:99-112:n:9
    DOI: 10.1515/EQC.2002.99
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    References listed on IDEAS

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    1. W. Chiu, 1976. "On the estimation of data parameters for economic optimum 135-1135-1135-1-Charts," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 23(1), pages 135-147, December.
    2. Isaac N. Gibra, 1971. "Economically Optimal Determination of the Parameters of X\bar -Control Chart," Management Science, INFORMS, vol. 17(9), pages 635-646, May.
    3. E. Collani, 1999. "Control of production processes subjectto random shocks," Annals of Operations Research, Springer, vol. 91(0), pages 289-304, January.
    4. Erwin M. Saniga, 1977. "Joint Economically Optimal Design of X\bar and R Control Charts," Management Science, INFORMS, vol. 24(4), pages 420-431, December.
    Full references (including those not matched with items on IDEAS)

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