Exponential cumulative sums chart for detecting shifts in time-between-events

Liang Qu, Michael B.C. Khoo, Philippe Castagliola and Zhen He

International Journal of Production Research, 2018, vol. 56, issue 10, 3683-3698

Abstract: Time-between-events (TBE) charts use the time interval T between events to monitor process shifts (or failure rates λ). This paper presents a two-sided TBE cumulative sums (CUSUM) chart called a weighted CUSUM(WCUSUM)chart for detecting either a deterioration (decrease in T) or an improvement (increase in T) in the condition of a process. A new kind of WCUSUM chart that has an additional charting power parameter w is proposed here. A WCUSUM chart’s efficiency can be improved by using the parameter w, based on an estimated value of the mean shift. In addition, a methodology and optimal design are presented for minimising the average loss. Construction of the WCUSUM chart is illustrated by considering a random shift δ in λ (including both increasing and decreasing shifts) in the design.

Date: 2018
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DOI: 10.1080/00207543.2017.1412523

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