Economic Design of Variable Sampling Intervals EWMA Control Charts under Binomial Distribution
- DOI
- 10.2991/meic-15.2015.170How to use a DOI?
- Keywords
- variable sampling intervals; binomial distribution; exponential weighted moving average (EWMA) control chart; economic design
- Abstract
Objective—The purpose of this paper is to investigate the economic design of EWMA charts with variable sampling intervals (VSI) under binomial distribution to reduce the cost of control process. Methods—First, the economic model of VSI EWMA control chart under binomial distribution is developed, the optimal values of the parameters will be determined such that the expected total cost is minimized. Further, the genetic algorithms will be used to search for the optimal values of the parameters of the VSI EWMA control chart under binomial distribution. Finally, the sensitivity analysis of this model is done to investigate the effect of model parameters on the solution of the economic model. Result—The result shows that the larger the the quality cost per hour while producing in control and the parameters shift of binomial distribution , the smaller the total expected cost and so on. Conclusions—This research not only provides the ideas and method to other VSI EWMA control charts economic design, but also provides the theoretical basis to reduce the cost of out-control process and improves the production efficiency in the actual production.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Li Xue PY - 2015/04 DA - 2015/04 TI - Economic Design of Variable Sampling Intervals EWMA Control Charts under Binomial Distribution BT - Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering PB - Atlantis Press SP - 746 EP - 749 SN - 2352-5401 UR - https://doi.org/10.2991/meic-15.2015.170 DO - 10.2991/meic-15.2015.170 ID - Xue2015/04 ER -