### Abstract

An expected-cost model is developed for the np-control chart when curtailed sampling procedures are followed. The total expected cost consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control signal is received, and the cost of producing defectives. A Hook–Jeeves search procedure is used to identify the minimum-cost sampling policy as a function of three design variables: Rejection number, maximum sample size, and intersample interval. Numerical examples are presented, and comparisons are made to corresponding complete sampling policies. These results indicate that curtailed sampling plans provide cost improvements over traditional complete sampling plans and are, therefore, to be recommended whenever it is appropriate to use them.

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

Pages (from-to) | 57-63 |

Number of pages | 7 |

Journal | Technometrics |

Volume | 27 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1985 |

### Fingerprint

### Keywords

- Average sample number
- Binomial sampling
- Cost function
- Inverse binomial sampling
- Markov process
- Truncated sampling

### ASJC Scopus subject areas

- Statistics and Probability
- Modeling and Simulation
- Applied Mathematics

### Cite this

*Technometrics*,

*27*(1), 57-63. https://doi.org/10.1080/00401706.1985.10488014

**Use of curtailed sampling plans in the economic design of np-control charts.** / Williams, William W.; Looney, Stephen Warwick; Peters, Michael H.

Research output: Contribution to journal › Article

*Technometrics*, vol. 27, no. 1, pp. 57-63. https://doi.org/10.1080/00401706.1985.10488014

}

TY - JOUR

T1 - Use of curtailed sampling plans in the economic design of np-control charts

AU - Williams, William W.

AU - Looney, Stephen Warwick

AU - Peters, Michael H.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - An expected-cost model is developed for the np-control chart when curtailed sampling procedures are followed. The total expected cost consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control signal is received, and the cost of producing defectives. A Hook–Jeeves search procedure is used to identify the minimum-cost sampling policy as a function of three design variables: Rejection number, maximum sample size, and intersample interval. Numerical examples are presented, and comparisons are made to corresponding complete sampling policies. These results indicate that curtailed sampling plans provide cost improvements over traditional complete sampling plans and are, therefore, to be recommended whenever it is appropriate to use them.

AB - An expected-cost model is developed for the np-control chart when curtailed sampling procedures are followed. The total expected cost consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control signal is received, and the cost of producing defectives. A Hook–Jeeves search procedure is used to identify the minimum-cost sampling policy as a function of three design variables: Rejection number, maximum sample size, and intersample interval. Numerical examples are presented, and comparisons are made to corresponding complete sampling policies. These results indicate that curtailed sampling plans provide cost improvements over traditional complete sampling plans and are, therefore, to be recommended whenever it is appropriate to use them.

KW - Average sample number

KW - Binomial sampling

KW - Cost function

KW - Inverse binomial sampling

KW - Markov process

KW - Truncated sampling

UR - http://www.scopus.com/inward/record.url?scp=0022011820&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022011820&partnerID=8YFLogxK

U2 - 10.1080/00401706.1985.10488014

DO - 10.1080/00401706.1985.10488014

M3 - Article

AN - SCOPUS:0022011820

VL - 27

SP - 57

EP - 63

JO - Technometrics

JF - Technometrics

SN - 0040-1706

IS - 1

ER -