A Design of One-Sided Cumulative Scored Control Chart

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Journal of Korean Society for Quality Management > Volume 26(3); 1998 > Article

Journal of Korean Society for Quality Management 1998;26(3): 31-.

단방향 누적점수관리도의 설계

최인수¹, 이윤동²

¹한국과학기술원 산업경영연구소
²미국 아이오와 주립대학교 통계학과

A Design of One-Sided Cumulative Scored Control Chart

ABSTRACT

This paper proposes a method of designing one-sided cumulative scored control charts to control the process mean with a normally distributed quality characteristic. The average run length(ARL) is obtained from the average sample number of sequential probability ratio test(SPRT) on trinomial distribution. Using the analogy between cumulative scored control chart and SPRT for trinomial observations, a procedure is presented to determine three control chart parameters; lower and u, pp.r scoring boundaries and action limit. The parameters are determined by minimizing the ARL when the process is out of control with prespecified ARL when the process is in control.