### Abstract

An expected cost model for the fraction defective control chart for the case where there are several out-control states is developed. A procedure is presented for determining the sample size, control limit or critical region, and interval between samples which minimizes the expected cost of control per unit of product. The expected cost of control consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control condition is indicated, and the cost of producing defective product. Direct search techniques are used to optimize the expected cost function. Numerical examples and sensitivity analysis of the model are presented.

Original language | English (US) |
---|---|

Pages (from-to) | 1272-1284 |

Number of pages | 13 |

Journal | Management Science |

Volume | 21 |

Issue number | 11 |

State | Published - Jul 1975 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Management of Technology and Innovation
- Strategy and Management
- Management Science and Operations Research

### Cite this

*Management Science*,

*21*(11), 1272-1284.

**ECONOMIC DESIGN OF FRACTION DEFFECTIVE CONTROL CHARTS.** / Montgomery, Douglas; Heikes, Russell G.

Research output: Contribution to journal › Article

*Management Science*, vol. 21, no. 11, pp. 1272-1284.

}

TY - JOUR

T1 - ECONOMIC DESIGN OF FRACTION DEFFECTIVE CONTROL CHARTS.

AU - Montgomery, Douglas

AU - Heikes, Russell G.

PY - 1975/7

Y1 - 1975/7

N2 - An expected cost model for the fraction defective control chart for the case where there are several out-control states is developed. A procedure is presented for determining the sample size, control limit or critical region, and interval between samples which minimizes the expected cost of control per unit of product. The expected cost of control consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control condition is indicated, and the cost of producing defective product. Direct search techniques are used to optimize the expected cost function. Numerical examples and sensitivity analysis of the model are presented.

AB - An expected cost model for the fraction defective control chart for the case where there are several out-control states is developed. A procedure is presented for determining the sample size, control limit or critical region, and interval between samples which minimizes the expected cost of control per unit of product. The expected cost of control consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control condition is indicated, and the cost of producing defective product. Direct search techniques are used to optimize the expected cost function. Numerical examples and sensitivity analysis of the model are presented.

UR - http://www.scopus.com/inward/record.url?scp=0016533567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016533567&partnerID=8YFLogxK

M3 - Article

VL - 21

SP - 1272

EP - 1284

JO - Management Science

JF - Management Science

SN - 0025-1909

IS - 11

ER -