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On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions

In this study, we have considered two design structures of (Formula presented.) control chart by covering the situations of known and unknown parameters, variety of probability distributions, and runs rules. The design structures are dependent on constants which generally considered hard to compute...

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Main Authors: Mehmood, Rashid, Lee, Muhammed Hisyam, Hussain, Shahzad, Muhammad Riaz, Muhammad Riaz
Format: Article
Published: John Wiley and Sons Inc. 2019
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/87585/
http://dx.doi.org/10.1002/qre.2423
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spelling my.utm.875852020-11-30T09:04:07Z http://eprints.utm.my/id/eprint/87585/ On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions Mehmood, Rashid Lee, Muhammed Hisyam Hussain, Shahzad Muhammad Riaz, Muhammad Riaz QA Mathematics In this study, we have considered two design structures of (Formula presented.) control chart by covering the situations of known and unknown parameters, variety of probability distributions, and runs rules. The design structures are dependent on constants which generally considered hard to compute analytically. For construction of constants and also for evaluating performance of the design structures through performance measures, we have illustrated Monte Carlo simulation procedure/algorithm for researcher and practitioners. Furthermore, based on the Monte Carlo simulation procedures, we have established a program in R language to compute values of different constants and performance measures. Results illustrated that design structures for known and unknown parameters under variety of runs rules and probability distributions have outstanding performance in contrast to existing structures. Moreover, design structure for unknown parameters behaves alike the design structure for known parameters. This indicates that design structure for unknown parameters has the ability to resolve the issue of runs rules which generally occur when parameters are estimated. Besides, two real-life examples have been included in which physicochemical characteristic of groundwater and plasticizer characteristic of petrochemical process are monitored through design structures. John Wiley and Sons Inc. 2019-03 Article PeerReviewed Mehmood, Rashid and Lee, Muhammed Hisyam and Hussain, Shahzad and Muhammad Riaz, Muhammad Riaz (2019) On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions. Quality and Reliability Engineering International, 35 (2). pp. 582-599. ISSN 0748-8017 http://dx.doi.org/10.1002/qre.2423
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mehmood, Rashid
Lee, Muhammed Hisyam
Hussain, Shahzad
Muhammad Riaz, Muhammad Riaz
On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
description In this study, we have considered two design structures of (Formula presented.) control chart by covering the situations of known and unknown parameters, variety of probability distributions, and runs rules. The design structures are dependent on constants which generally considered hard to compute analytically. For construction of constants and also for evaluating performance of the design structures through performance measures, we have illustrated Monte Carlo simulation procedure/algorithm for researcher and practitioners. Furthermore, based on the Monte Carlo simulation procedures, we have established a program in R language to compute values of different constants and performance measures. Results illustrated that design structures for known and unknown parameters under variety of runs rules and probability distributions have outstanding performance in contrast to existing structures. Moreover, design structure for unknown parameters behaves alike the design structure for known parameters. This indicates that design structure for unknown parameters has the ability to resolve the issue of runs rules which generally occur when parameters are estimated. Besides, two real-life examples have been included in which physicochemical characteristic of groundwater and plasticizer characteristic of petrochemical process are monitored through design structures.
format Article
author Mehmood, Rashid
Lee, Muhammed Hisyam
Hussain, Shahzad
Muhammad Riaz, Muhammad Riaz
author_facet Mehmood, Rashid
Lee, Muhammed Hisyam
Hussain, Shahzad
Muhammad Riaz, Muhammad Riaz
author_sort Mehmood, Rashid
title On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
title_short On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
title_full On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
title_fullStr On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
title_full_unstemmed On efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
title_sort on efficient construction and evaluation of runs rules–based control chart for known and unknown parameters under different distributions
publisher John Wiley and Sons Inc.
publishDate 2019
url http://eprints.utm.my/id/eprint/87585/
http://dx.doi.org/10.1002/qre.2423
_version_ 1685578958585724928
score 13.211869

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