PHASE II MONITORING OF AUTOCORRELATED POLYNOMIAL PROFILES IN AR (1) PROCESSES

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KAZEMZADEH R.B.; NOUR ALSANA R.; AMIRI A.

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Paper Information

Journal: SCIENTIA IRANICA Year:2010 | Volume:17 | Issue:1 (TRANSACTION E: INDUSTRIAL ENGINEERING) Page(s): 12-24

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Information Journal Paper

Title

PHASE II MONITORING OF AUTOCORRELATED POLYNOMIAL PROFILES IN AR (1) PROCESSES

Author(s)

KAZEMZADEH R.B. | NOUR ALSANA R. | AMIRI A. | Issue Writer Certificate

Keywords

STATISTICAL PROCESS CONTROL

POLYNOMIAL PROFILES

AUTOCORRELATION

AVERAGE RUN LENGTH

ASSIGNABLE CAUSE

PHASE II

Abstract

In many practical situations, the quality of a process or product can be characterized by a function or profile. Here, we consider a polynomial profile and investigate the effect of the violation of a common independence assumption, implicitly considered in most control charting applications, on the performance of the existing monitoring techniques. We specifically consider a case when there is AUTOCORRELATION between profiles over time. An autoregressive model of order one is used to model the AUTOCORRELATION structure between error terms in successive profiles. In addition, two remedial methods, based on time series approaches, are presented for monitoring autocorrelated POLYNOMIAL PROFILES in PHASE II. Their performances are compared using a numerical simulation runs in terms of an AVERAGE RUN LENGTH (ARL) criterion. The effects of ASSIGNABLE CAUSE and AUTOCORRELATION coefficient on the shape of aprofiles are also investigated.

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PHASE-II MONITORING OF AR (1) AUTO CORRELATED POLYNOMIAL PROFILES

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APA: Copy

KAZEMZADEH, R.B., NOUR ALSANA, R., & AMIRI, A.. (2010). PHASE II MONITORING OF AUTOCORRELATED POLYNOMIAL PROFILES IN AR (1) PROCESSES. SCIENTIA IRANICA, 17(1 (TRANSACTION E: INDUSTRIAL ENGINEERING)), 12-24. SID. https://sid.ir/paper/289930/en

Vancouver: Copy

KAZEMZADEH R.B., NOUR ALSANA R., AMIRI A.. PHASE II MONITORING OF AUTOCORRELATED POLYNOMIAL PROFILES IN AR (1) PROCESSES. SCIENTIA IRANICA[Internet]. 2010;17(1 (TRANSACTION E: INDUSTRIAL ENGINEERING)):12-24. Available from: https://sid.ir/paper/289930/en

IEEE: Copy

R.B. KAZEMZADEH, R. NOUR ALSANA, and A. AMIRI, “PHASE II MONITORING OF AUTOCORRELATED POLYNOMIAL PROFILES IN AR (1) PROCESSES,” SCIENTIA IRANICA, vol. 17, no. 1 (TRANSACTION E: INDUSTRIAL ENGINEERING), pp. 12–24, 2010, [Online]. Available: https://sid.ir/paper/289930/en

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