Identifying the change time of multivariate binomial processes for step changes and drifts

Journal of Industrial Engineering International

دوره 9، شماره 1، اسفند 2013   

نویسندگان

Seyed Taghi Akhavan Niaki^* ؛ Majid Khedmati

Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155–9414, Azaadi Ave., Tehran, 1458889694, Iran

چکیده

In this paper, a new control chart to monitor multi-binomial processes is first proposed based on a transformation method. Then, the maximum likelihood estimators of change points designed for both step changes and linear-trend disturbances are derived. At the end, the performances of the proposed change-point estimators are evaluated and are compared using some Monte Carlo simulation experiments, considering that the real change type presented in a process are of either a step change or a linear-trend disturbance. According to the results obtained, the change-point estimator designed for step changes outperforms the change-point estimator designed for linear-trend disturbances, when the real change type is a step change. In contrast, the change-point estimator designed for linear-trend disturbances outperforms the change-point estimator designed for step changes, when the real change type is a linear-trend disturbance.

کلیدواژه‌ها

Multi-binomial processes؛ Maximum likelihood estimator؛ Multi-attribute processes؛ Step change؛ Linear-trend disturbance؛ Root/power transformation