Monitoring reliability for a gamma distribution with a double progressive mean control chart

Author(s):  
Vasileios Alevizakos ◽  
Christos Koukouvinos
Author(s):  
Osama H. Arif ◽  
Muhammad Aslam

AbstractThis article presents a new control chart for monitoring reliability using sudden death testing under the neutrosophic statistics (NS). The average run lengths of the in-control and the out-of-control process have been determined for evaluating the quick detection ability for small and moderate shifts. For the industrial use, tables and figures have been presented for different parameters. The proposed control chart is efficient in comparison with the existing control chart under classical statistics and value addition in the toolkit of the quality control personnel.


Author(s):  
Hamzeh Torabi ◽  
Shohreh Enami ◽  
STA Niaki

In this study, a multivariate gamma distribution is first introduced. Then, by defining a new statistic, three control charts called the MG charts, are proposed for this distribution. The first control chart is based on the exact distribution of this statistic, the second control chart is based on the Satterthwaite approximation, and the last is based on the normal approximation. Efficiency of the proposed control charts is evaluated by average run length (ARL) criterion.


2017 ◽  
Vol 16 (1) ◽  
pp. 109-117 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama-H. Arif ◽  
Chi-Hyuck Jun

Processes ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 209 ◽  
Author(s):  
Muhammad Aslam ◽  
Rashad A. R. Bantan ◽  
Nasrullah Khan

In this paper, we developed a control chart methodology for the monitoring the mean time between two events using the belief estimator under the neutrosophic gamma distribution. The proposed control chart coefficients and the neutrosophic average run length (NARL) have been determined using different process settings. The performance of the proposed chart is compared with the control chart under classical statistics in terms of NARL using the simulation data and real example. From comparisons, it is concluded that the proposed chart is efficient, effective and adequate to be used under uncertainty environment than the chart under classical statistics.


2007 ◽  
Vol 45 (23) ◽  
pp. 5649-5666 ◽  
Author(s):  
C. W. Zhang ◽  
M. Xie ◽  
J. Y. Liu ◽  
T. N. Goh

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