Optimal \(np\) control charts with variable sample sizes or variable sampling intervals. (English) Zbl 1016.62135
Many researches have shown that the adaptive control charts are more effective than the traditional static ones in detecting process shifts. This paper develops an algorithm for the optimization designs of the Variable Sample Size (VSS) \(np\) chart and the Variable Sampling Intervals (VSI) \(np\) chart for monitoring process fraction nonconforming \(p\). The properties of the VSI and VSS \(np\) charts are measured by the steady-state Average Time to Signal (ATS). The performance of these adaptive \(np\) charts are studied and compared with the static \(np\) charts. It is found that the adaptive \(np\) charts do improve the effectiveness significantly, especially for detecting small or moderate process shifts.
MSC:
| 62P30 | Applications of statistics in engineering and industry; control charts |
Keywords:
adaptive control charts; average time to signal; inspection rate; sample size; sampling intervalReferences:
| [1] | Arnold J. C., Journal of Quality Technology 33 pp 66– (2001) |
| [2] | Calabrese J. M., Management Science 41 pp 637– (1995) · Zbl 0836.90080 · doi:10.1287/mnsc.41.4.637 |
| [3] | Costa A. F. B., Journal of Quality Technology 26 pp 155– (1994) |
| [4] | Costa A. F. B., Journal of Quality Technology 29 pp 197– (1997) |
| [5] | Costa A. F. B., Journal of Quality Technology 31 pp 387– (1999) |
| [6] | Costa A. F. B., Journal of Quality Technology 31 pp 408– (1999) |
| [7] | Das T. K., IIE Transactions 29 pp 497– (1997) |
| [8] | Daudin J. J., Journal of Quality Technology 24 pp 78– (1992) |
| [9] | Lucas J. M., Technometrics 27 pp 129– (1985) · Zbl 0571.62090 · doi:10.2307/1268761 |
| [10] | Nishina K., Quality and Reliability Engineering International 12 pp 3– (1995) |
| [11] | Pignatiello J. J., JR., Journal of Quality Technology 33 pp 82– (2001) |
| [12] | Porteus E. L., Management Science 43 pp 1214– (1997) · Zbl 1043.90510 · doi:10.1287/mnsc.43.9.1214 |
| [13] | Prabhu S. S., International Journal of Production Research 31 pp 2895– (1993) · doi:10.1080/00207549308956906 |
| [14] | Prabhu S. S., Journal of Quality Technology 26 pp 164– (1994) |
| [15] | Rendtel U., Statistical Papers 31 pp 103– (1990) · Zbl 0694.62053 · doi:10.1007/BF02924681 |
| [16] | Reynolds M. R., Jr., Technometrics 30 pp 181– (1988) · doi:10.2307/1270164 |
| [17] | Reynolds M. R., Journal of Quality Technology 28 pp 199– (1996) |
| [18] | Reynolds M. R., Jr., Journal of Quality Technology 31 pp 87– (1999) |
| [19] | Reynolds M. R., Jr., IIE Transactions 32 pp 515– (2000) |
| [20] | Reynolds M. R. Jr., IIE Transactions 33 pp 511– (2001) |
| [21] | Runger G. C., Journal of Quality Technology 23 pp 135– (1991) |
| [22] | Runger G. C., IIE Transactions 25 pp 41– (1993) · doi:10.1080/07408179308964289 |
| [23] | Samuel T. R., Quality Engineering 10 pp 521– (1998) · doi:10.1080/08982119808919166 |
| [24] | Tagaras G., Journal of Quality Technology 30 pp 212– (1998) |
| [25] | Vaughan T. S., Communications in Statistics-Theory and Methods 22 pp 147– (1993) · Zbl 0777.62095 · doi:10.1080/03610929308831011 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
