Determination of Optimal Design Parameters of JointXandRCharts

M. A. Rahim

52 citations0/0 files storedJournal of Quality Technology

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Advanced Statistical Process Monitoring Management and Optimization Techniques Fault Detection and Control Systems

Abstract

A computer program is presented which determines the economically optimum design parameters of joint X̄ and R charts. A single assignable cause process model is assumed which involves twelve data parameters. The optimum values of the design parameters, the sample size, the sampling interval, and the control limits coefficients are determined by minimizing the per-hour loss-cost function. This function comprises the fixed and variable costs of sampling, the cost of searching for the assignable cause when, it exists, any adjustment and repair costs, and the cost of searching for an assignable cause that does not exist.

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References

1956The Economic Design of X Charts Used to Maintain Current Control of a Process 1975Economic Design of Attribute Control Charts 1982Economic Design of an X Control Chart 1974A Simplified Scheme for the Economic Design of X-Charts 1977Joint Economically Optimal Design of X and R Control Charts

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1993Economic Design of X Control Charts Assuming Weibull In-Control Times 2008Monitoring the process mean and variance using a synthetic control chart with two-stage testing 1994Economic, Statistical, and Economic-Statistical X Chart Designs 1993JOINT ECONOMIC DESIGN OF X¯ ANDRCONTROL CHARTS FOR PROCESSES SUBJECT TO TWO INDEPENDENT ASSIGNABLE CAUSES 2001Economic-Statistical Design ofXand R orXand S Charts 2013Economic Statistical Design of Integrated X-bar-S Control Chart with Preventive Maintenance and General Failure Distribution 2004An integrated economic model for inventory and quality control problems 1991Joint Statistical Design ofXandRControl Charts

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