ALTERNATIVE PROCESS MODELS IN THE ECONOMIC DESIGN OF T**2 CONTROL CHARTS.

Russell G. Heikes; Douglas Montgomery; Jimmy Y H Yeung

ALTERNATIVE PROCESS MODELS IN THE ECONOMIC DESIGN OF T**2 CONTROL CHARTS.

Russell G. Heikes, Douglas Montgomery, Jimmy Y H Yeung

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The use of three probability distributions to model the time to failure in an economic model of a multivariate quality control procedure is investigated. A discrete-time Markov (geometric) model is developed, as well as two non-Markovian (Poisson and logarithmic series) models. Numerical examples are presented which indicate that both the Markov assumption and the shape of the distribution of time to failure are of considerable importance in determining the optimal test parameters.

Original language	English (US)
Title of host publication	AIIE Trans
Pages	55-61
Number of pages	7
Volume	6
Edition	1
State	Published - Mar 1974
Externally published	Yes

ASJC Scopus subject areas

General Engineering

Cite this

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title = "ALTERNATIVE PROCESS MODELS IN THE ECONOMIC DESIGN OF T**2 CONTROL CHARTS.",

abstract = "The use of three probability distributions to model the time to failure in an economic model of a multivariate quality control procedure is investigated. A discrete-time Markov (geometric) model is developed, as well as two non-Markovian (Poisson and logarithmic series) models. Numerical examples are presented which indicate that both the Markov assumption and the shape of the distribution of time to failure are of considerable importance in determining the optimal test parameters.",

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N2 - The use of three probability distributions to model the time to failure in an economic model of a multivariate quality control procedure is investigated. A discrete-time Markov (geometric) model is developed, as well as two non-Markovian (Poisson and logarithmic series) models. Numerical examples are presented which indicate that both the Markov assumption and the shape of the distribution of time to failure are of considerable importance in determining the optimal test parameters.

AB - The use of three probability distributions to model the time to failure in an economic model of a multivariate quality control procedure is investigated. A discrete-time Markov (geometric) model is developed, as well as two non-Markovian (Poisson and logarithmic series) models. Numerical examples are presented which indicate that both the Markov assumption and the shape of the distribution of time to failure are of considerable importance in determining the optimal test parameters.

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BT - AIIE Trans

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ALTERNATIVE PROCESS MODELS IN THE ECONOMIC DESIGN OF T**2 CONTROL CHARTS.

Abstract

ASJC Scopus subject areas

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