Double sampling control chart for a first order autoregressive process

Pesquisa Operacional

Fernando A. E. Claro¹  Antonio F. B. Costa¹  Marcela A. G. Machado¹ 

[1] ,São Paulo State University Production Department Guaratinguetá SP ,Brazil

关键词: autocorrelation;    double sampling;    statistical process control;    autocorrelação;    amostragem dupla;    controle estatístico do processo;   

DOI  :  10.1590/S0101-74382008000300008

来源: SciELO

【 摘 要 】

In this paper we propose the Double Sampling control chart for monitoring processes in which the observations follow a first order autoregressive model. We consider sampling intervals that are sufficiently long to meet the rational subgroup concept. The Double Sampling chart is substantially more efficient than the Shewhart chart and the Variable Sample Size chart. To study the properties of these charts we derived closed-form expressions for the average run length (ARL) taking into account the within-subgroup correlation. Numerical results show that this correlation has a significant impact on the chart properties.

【 授权许可】

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