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Communications in Statistics - Simulation and Computation Volume 39, 2010 - Issue 3
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Original Articles

Evaluation of CUSUM Charts for Finite-Horizon Processes

George Nenes Department of Mechanical Engineering, University of Western Macedonia, Kozani, GreeceCorrespondence[email protected]
&
George Tagaras Department of Mechanical Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece
Pages 578-597 | Received 14 Jul 2009, Accepted 01 Dec 2009, Published online: 19 Feb 2010
 
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Abstract

This article analyses and evaluates the properties of a CUSUM chart designed for monitoring the process mean in short production runs. Several statistical measures of performance that are appropriate when the process operates for a finite-time horizon are proposed. The methodology developed in this article can be used to evaluate the performance of the CUSUM scheme for any given set of chart parameters from both an economic and a statistical point of view, and thus, allows comparisons with various other charts.

Mathematics Subject Classification:

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