Design Of CUSUM Control Charts Research Articles

Joint Economic Design of CUSUM Control Chart and Age-Based Imperfect Preventive Maintenance Policy

The close relationship between statistical process control and maintenance has attracted lots of researchers to focus on the jointly economic design of control chart (a main tool of statistical process control) and preventive maintenance policy, and much progress has been made in this field. However, in the existing literatures, the X- chart is used most, and other charts are rarely considered. In this paper, the economic design of CUSUM chart and age-based imperfect preventive maintenance policy is presented. The process is considered as a multiphase system, and a recursive algorithm is used to model each phase. Besides, a sampling policy under the non-Markovian deterioration assumption is employed, and an age-based imperfect preventive maintenance policy is used. An optimization model with the objective of minimizing the expected cost per unit time is constructed to obtain the near-optimal solution of decision variables: the age of the machine for maintenance, the number of age-based maintenances, sample size, sampling intervals, and the decision interval coefficient and reference value coefficient of CUSUM chart. The solution procedure of the model is provided. Also, sensitivity analysis is performed on the decision variables for each of the various parameters.

Formulas for the Design of CUSUM Quality Control Charts

ABSTRACT In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold (h). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value (k) and the in-control average run length (ARL0). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.

The Economic Design of CUSUM Chart for Monitoring Environmental Performance

This paper proposes a new way of monitoring and evaluating the environmental performance using the economic design of CUSUM control chart. Emphases are placed on estimation of the potential losses using Revised Inverted Normal Loss Function (RINLF) for unilateral specification of environmental control. Further analysis has then been performed to compare the environmental performance of economic (average)X and CUSUM charts in term of their expected losses and average run lengths (ARL). Finally, a numeric example has been illustrated to show the application of economic design of CUSUM chart and its loss estimation in the area of environmental performance monitoring and assessment.

An Optimal Design of CUSUM Quality Control Charts

An optimal design of CUSUM control charts is reviewed. Plots of chart parameters are given which enable the chart parameters of an optimal CUSUM chart to be determined easily. Both the CUSUM charts with and without heard starts are considered...