Economic design of (X)over-bar charts with variable parameters: the Markov chain approach


Autoria(s): Costa, AFB; Rahim, M. A.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/09/2001

Resumo

This paper presents an economic design of (X) over bar control charts with variable sample sizes, variable sampling intervals, and variable control limits. The sample size n, the sampling interval h, and the control limit coefficient k vary between minimum and maximum values, tightening or relaxing the control. The control is relaxed when an (X) over bar value falls close to the target and is tightened when an (X) over bar value falls far from the target. A cost model is constructed that involves the cost of false alarms, the cost of finding and eliminating the assignable cause, the cost associated with production in an out-of-control state, and the cost of sampling and testing. The assumption of an exponential distribution to describe the length of time the process remains in control allows the application of the Markov chain approach for developing the cost function. A comprehensive study is performed to examine the economic advantages of varying the (X) over bar chart parameters.

Formato

875-885

Identificador

http://dx.doi.org/10.1080/02664760120074951

Journal of Applied Statistics. Basingstoke: Carfax Publishing, v. 28, n. 7, p. 875-885, 2001.

0266-4763

http://hdl.handle.net/11449/38469

10.1080/02664760120074951

WOS:000170835700007

Idioma(s)

eng

Publicador

Carfax Publishing

Relação

Journal of Applied Statistics

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article