Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm

A simple and flexible model for economic statistical design of joint X- and S2 control charts was proposed. The design problem was approached by constrained fuzzy multiobjective modeling for three objectives: joint power, joint Type I error, and joint total control cost. Fuzzy membership functions w...

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Main Author:	Saleem Z. Ramadan
Format:	Article
Language:	English
Published:	Hindawi Limited 2018-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2018/6516879

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spelling	doaj-5f800bf6c9d3457a8ce3288a4e16c4862020-11-24T23:29:24ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/65168796516879Joint X- and S2 Control Charts Optimal Design Using Genetic AlgorithmSaleem Z. Ramadan0Department of Industrial Engineering, German Jordanian University, Mushaqar, Amman 11180, JordanA simple and flexible model for economic statistical design of joint X- and S2 control charts was proposed. The design problem was approached by constrained fuzzy multiobjective modeling for three objectives: joint power, joint Type I error, and joint total control cost. Fuzzy membership functions were created to measure the satisfaction levels of the objectives, and the overall satisfaction level of the design was calculated using a weighted-average method. A genetic algorithm was designed to solve this model. The strength of this model lies in its effectiveness in detecting the assignable causes through the joint design and in its simplicity and flexibility in dealing with uncertainties in the design.http://dx.doi.org/10.1155/2018/6516879
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Saleem Z. Ramadan
spellingShingle	Saleem Z. Ramadan Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm Mathematical Problems in Engineering
author_facet	Saleem Z. Ramadan
author_sort	Saleem Z. Ramadan
title	Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm
title_short	Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm
title_full	Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm
title_fullStr	Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm
title_full_unstemmed	Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm
title_sort	joint x- and s2 control charts optimal design using genetic algorithm
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2018-01-01
description	A simple and flexible model for economic statistical design of joint X- and S2 control charts was proposed. The design problem was approached by constrained fuzzy multiobjective modeling for three objectives: joint power, joint Type I error, and joint total control cost. Fuzzy membership functions were created to measure the satisfaction levels of the objectives, and the overall satisfaction level of the design was calculated using a weighted-average method. A genetic algorithm was designed to solve this model. The strength of this model lies in its effectiveness in detecting the assignable causes through the joint design and in its simplicity and flexibility in dealing with uncertainties in the design.
url	http://dx.doi.org/10.1155/2018/6516879
work_keys_str_mv	AT saleemzramadan jointxands2controlchartsoptimaldesignusinggeneticalgorithm
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Joint X- and S2 Control Charts Optimal Design Using Genetic Algorithm

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