00467 Xfbb31bd3227a9d9cedd56fce10b52e

21

An Algorithm and a Graphical Approach for the Economic Design of X Charts for Short Run Processes

Enriąue Del Castillo University of Texas at Arlington Arlingion, Texas

Abstract

Most models for the economic design of control charts are based on the model by Duncan that assumes an infinite production horizon. In this paper, an algorithm for the constrained optimization of a cost model for the design of X charts for short production run processes is presented. Statistical and production-related constraints are introduced in the model. A simple graphical method for finding feasible chart designs is developed by solving the constraints considered. This method is useful for the case when the model parameters are difficult to estimate in practice. A Computer program implementation of the optimization algorithm is included.

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