Economic design of variable sampling intervals T 2 control charts using genetic algorithms

Control charting is a graphical expression and operation of statistical hypothesis testing. In this paper, we develop the economic design of the variable sampling intervals (VSI) T 2 control chart to determine the values of the five test parameters of the chart (i.e. the sample size, the long sampli...

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Published inExpert systems with applications Vol. 30; no. 2; pp. 233 - 242
Main Authors Chou, Chao-Yu, Chen, Chun-Hua, Chen, Chung-Ho
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2006
Subjects
Control chart
Economic design
Genetic algorithm
Genetic algorithm
Control chart
Economic design
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ISSN0957-4174
1873-6793
DOI10.1016/j.eswa.2005.07.010

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Abstract Control charting is a graphical expression and operation of statistical hypothesis testing. In this paper, we develop the economic design of the variable sampling intervals (VSI) T 2 control chart to determine the values of the five test parameters of the chart (i.e. the sample size, the long sampling interval, the short sampling interval, the warning limit, and the control limit) such that the expected total cost, associated with the test procedure, is minimized. The genetic algorithm (GA) is employed to search for the optimal values of the five test parameters of the VSI T 2 chart, and an example is provided to illustrate the solution procedure. Sensitivity analysis is then carried out to investigate the effects of model parameters on the solution of the economic design.
AbstractList Control charting is a graphical expression and operation of statistical hypothesis testing. In this paper, we develop the economic design of the variable sampling intervals (VSI) T 2 control chart to determine the values of the five test parameters of the chart (i.e. the sample size, the long sampling interval, the short sampling interval, the warning limit, and the control limit) such that the expected total cost, associated with the test procedure, is minimized. The genetic algorithm (GA) is employed to search for the optimal values of the five test parameters of the VSI T 2 chart, and an example is provided to illustrate the solution procedure. Sensitivity analysis is then carried out to investigate the effects of model parameters on the solution of the economic design.
Author Chen, Chun-Hua
Chen, Chung-Ho
Chou, Chao-Yu
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Control chart
Economic design
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References Ghare, Torgersen (bib7) 1968
Holland (bib10) 1975
Hotelling (bib12) 1947
Duncan (bib5) 1956; 52
Ho, Case (bib11) 1994; 26
Bhattachartta, Pictet, Zumbach (bib4) 2002; 6
Jackson (bib13) 1956; 12
Aparisi, Haro (bib2) 2001; 39
Duncan (bib6) 1971; 66
Taguchi (bib22) 1987
Goel, Jain, Wu (bib9) 1968; 63
Rekiek, De Lit, Delchambre (bib19) 2000; 16
Reynolds, Amin, Arnold, Nachlas (bib20) 1988; 30
Knappenberger, Grandage (bib15) 1969; 1
Montgomery (bib16) 1980; 12
Gibra (bib8) 1971; 17
Jensen (bib14) 2003; 7
Baxley (bib3) 1995; 27
Reynolds, Arnold (bib21) 1989; 8
Amin, Miller (bib1) 1993; 25
Montgomery, Klatt (bib17) 1972; 19
Pan, McInnesand, Jack (bib18) 1995; 31
Vance (bib23) 1983; 15
References_xml – volume: 15
  start-page: 59
  year: 1983
  end-page: 62
  ident: bib23
  article-title: A bibliography of statistical quality control chart techniques, 1970–1980
  publication-title: Journal of Quality Technology
– volume: 52
  start-page: 228
  year: 1956
  end-page: 242
  ident: bib5
  article-title: The economic design of X-bar charts used to maintain current control of a process
  publication-title: Journal of the American Statistical Association
– volume: 8
  start-page: 51
  year: 1989
  end-page: 77
  ident: bib21
  article-title: Optimal one-sided Shewhart control charts with variable sampling intervals
  publication-title: Sequential Analysis
– volume: 17
  start-page: 635
  year: 1971
  end-page: 646
  ident: bib8
  article-title: Economically optimal determination of the parameters of an X-bar control chart
  publication-title: Management Science
– volume: 16
  start-page: 268
  year: 2000
  end-page: 280
  ident: bib19
  article-title: Designing mixed-product assembly lines
  publication-title: IEEE Transactions on Robotics and Automation
– volume: 31
  start-page: 1418
  year: 1995
  end-page: 1419
  ident: bib18
  article-title: Codebook design using genetic algorithms
  publication-title: IEE Electronics Letters
– volume: 1
  start-page: 24
  year: 1969
  end-page: 32
  ident: bib15
  article-title: Minimum cost quality control tests
  publication-title: AIIE Transactions
– volume: 12
  start-page: 75
  year: 1980
  end-page: 87
  ident: bib16
  article-title: The economic design of control charts: A review and literature survey
  publication-title: Journal of Quality Technology
– start-page: 269
  year: 1968
  end-page: 272
  ident: bib7
  article-title: The multi-characteristic control chart
  publication-title: Journal of Industrial Engineering, June
– volume: 39
  start-page: 3127
  year: 2001
  end-page: 3140
  ident: bib2
  article-title: Hotelling's
  publication-title: International Journal of Production Research
– volume: 7
  start-page: 275
  year: 2003
  end-page: 288
  ident: bib14
  article-title: Generating robust and flexible job shop schedules using genetic algorithms
  publication-title: IEEE Transactions on Evolutionary Computation
– volume: 19
  start-page: 76
  year: 1972
  end-page: 89
  ident: bib17
  article-title: Economic design of
  publication-title: Management Science
– volume: 30
  start-page: 181
  year: 1988
  end-page: 192
  ident: bib20
  publication-title: Technometrics
– year: 1987
  ident: bib22
  publication-title: System of experimental design: Engineering methods to optimize quality and minimize costs
– volume: 26
  start-page: 1
  year: 1994
  end-page: 78
  ident: bib11
  article-title: Economic design of control charts: A literature review for 1981–1991
  publication-title: Journal of Quality Technology
– year: 1975
  ident: bib10
  publication-title: Adaptation in nature and artificial system
– volume: 63
  start-page: 304
  year: 1968
  end-page: 320
  ident: bib9
  article-title: An algorithm for the determination of the economic design of X-bar charts based on Duncan's model
  publication-title: Journal of the American Statistical Association
– year: 1947
  ident: bib12
  article-title: Multivariate quality control
  publication-title: Techniques of statistical analysis
– volume: 6
  start-page: 169
  year: 2002
  end-page: 181
  ident: bib4
  article-title: Knowledge-intensive genetic discovery in foreign exchange markets
  publication-title: IEEE Transactions on Evolutionary Computation
– volume: 12
  start-page: 4
  year: 1956
  end-page: 8
  ident: bib13
  article-title: Quality control methods for two related variables
  publication-title: Industrial Quality Control
– volume: 27
  start-page: 275
  year: 1995
  end-page: 282
  ident: bib3
  article-title: An application of variable sampling interval control charts
  publication-title: Journal of Quality Technology
– volume: 66
  start-page: 107
  year: 1971
  end-page: 121
  ident: bib6
  article-title: The economic design of X-bar charts when there is a multiplicity of assignable causes
  publication-title: Journal of the American Statistical Association
– volume: 25
  start-page: 36
  year: 1993
  end-page: 44
  ident: bib1
  article-title: A robustness study of
  publication-title: Journal of Quality Technology
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SubjectTerms Control chart
Economic design
Genetic algorithm
Title Economic design of variable sampling intervals T 2 control charts using genetic algorithms
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