ENBIS-17 in Naples

9 – 14 September 2017; Naples (Italy) Abstract submission: 21 November 2016 – 10 May 2017

Multiplicity-Cause Economic and Economic Statistical Design of T2-Control Charts Under Proportional Hazards Shock Model

13 September 2017, 10:30 – 10:50

Abstract

Submitted by
Mojtaba Aghajanpoor Pasha
Authors
Mojtaba Aghajanpoor Pasha (Allameh Tabataba'i University), Mohammad Bameni Moghadam (Allameh Tabataba'i University), Nader Nematollahi (Allameh Tabataba'i University)
Abstract
Multivariate quality control of the producing processes is more crucial rather than considering a single characteristic from customer's point of view. On the other hand, the assumption of multiple assignable causes in economic design of control charts is more reasonable than only a single assignable cause from manufacturer's point of view. ‎The multiplicity-cause economic models of Duncan (1971) and Chen and Yang (2002) are extended in this paper ‎‎‎‎‎‎‎by employing the proportional hazards model with an arbitrary baseline lifetime distribution as the shock model of a deteriorating process with multivariate quality characteristics. ‎For illustration, a numerical study assuming the lifetime distribution in Chen (2000) with increasing failure rate that belong to the family of proportional hazards model is used to obtain the economic and economic statistical design parameters of T2-control charts, ‎i.e.‎, ‎the sample size, ‎the sampling intervals, ‎and the width coefficient of control limits. ‎Furthermore, ‎comparisons between a multiplicity-cause model and a single one are performed under the same time and cost parameters of the model.

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