Economic and economic-statistical design of a multivariate Bayesian control chart for condition-based maintenance

2010 ◽  
Vol 22 (1) ◽  
pp. 47-63 ◽  
Author(s):  
Z. Yin ◽  
V. Makis
Keyword(s):  
Control Chart ◽  
Statistical Design ◽  
Condition Based Maintenance ◽  
Bayesian Control

scholarly journals Economic and Economic-Statistical Design of Multivariate Bayesian Control Chart with Variable Sampling Intervals

2020 ◽  
pp. 737-750
Author(s):  
Masoud Tavakoli ◽  
Reza Pourtaheri
Keyword(s):  
Control Chart ◽  
Control Charts ◽  
Fixed Ratio ◽  
Statistical Design ◽  
Sampling Interval ◽  
Design Parameters ◽  
Variable Sampling ◽  
Sampling Intervals ◽  
Bayesian Control ◽  
T2 Control Chart

Due to the proper performance of Bayesian control chart in detecting process shifts, it recently has become the subject of interest. It has been proved that on Bayesian and traditional control charts, the economic and statistical performances of the variable sampling interval (VSI) scheme are superior to those of the fixed ratio sampling (FRS) strategy in detecting small to moderate shifts. This paper studies the VSI multivariate Bayesian control chart based on economic and economic-statistical designs. Since finding the distribution of Bayesian statistic is t complicated, we apply Monte Carlo method and we employ artificial bee colony (ABC) algorithm to obtain the optimal design parameters (sample size, sampling intervals, warning limit and control limit). In the end, this case study is compared with VSI Hotelling’s T2 control chart and it is shown that this approach is more desirable statistically and economically.

A Bayesian control chart for monitoring the ratio of Weibull percentiles

2019 ◽  
Vol 35 (5) ◽  
pp. 1460-1475 ◽  
Author(s):  
Pasquale Erto ◽  
Antonio Lepore ◽  
Biagio Palumbo ◽  
Amalia Vanacore
Keyword(s):  
Control Chart ◽  
Bayesian Control

Multi-objective Markov-based economic-statistical design of EWMA control chart using NSGA-II and MOGA algorithms

2014 ◽  
Vol 4 (4) ◽  
pp. 332 ◽  
Author(s):  
Amirhossein Amiri ◽  
Mahdi Bashiri ◽  
Mohammad Reza Maleki ◽  
Anahita Sherbaf Moghaddam
Keyword(s):  
Control Chart ◽  
Statistical Design ◽  
Nsga Ii ◽  
Multi Objective ◽  
Ewma Control Chart

Robust economic-statistical design of X-bar control chart

2015 ◽  
Vol 53 (14) ◽  
pp. 4446-4458 ◽  
Author(s):  
Abdul Sattar Safaei ◽  
Reza Baradaran Kazemzadeh ◽  
Heng-Soon Gan
Keyword(s):  
Control Chart ◽  
Statistical Design
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