Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution

2016 ◽  
Vol 31 (2) ◽  
Author(s):  
Amer I. Al-Omari ◽  
Amjad D. Al-Nasser ◽  
Fatima Salem Gogah

AbstractIn this work, we investigate a double acceptance sampling plan (DASP) based on truncated life tests when the lifetime of a product follows the half normal distribution. By fixing the consumer’s confidence level, the minimum sample sizes of the first and second samples needful to assert the specified mean life are calculated. The operating characteristic values and the minimum ratios of the mean life to the specified life are also analyzed. Several important tables are provided and a numerical example is given to illustrate the results.

2017 ◽  
Vol 32 (1) ◽  
Author(s):  
Amer I. Al-Omari ◽  
Amjad D. Al-Nasser ◽  
Fatima Gogah ◽  
Muhammad A. Haq

AbstractA double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.


Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 653 ◽  
Author(s):  
Saeed Dobbah ◽  
Muhammad Aslam ◽  
Khushnoor Khan

In this paper, we propose a new synthetic sampling plan assuming that the quality characteristic follows the normal distribution with known and unknown standard deviation. The proposed plan is given and the operating characteristic (OC) function is derived to measure the performance of the proposed sampling plan for some fixed parameters. The parameters of the proposed sampling plan are determined using non-linear optimization solution. A real example is added to explain the use of the proposed plan by industry.


2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wenhao Gui ◽  
Shangli Zhang

An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan.


2011 ◽  
Vol 145 ◽  
pp. 410-414 ◽  
Author(s):  
Chung Ho Chen

In this study, the economic selection of quality investment for designing a combined continuous lot by lot acceptance sampling plan with average outgoing quality limit (AOQL) protection is proposed. Both the mean and the standard deviation of the process are measured as an exponential function of the quality investment. The optimal combination of parameters for single and continuous sampling plan and the quality investment level is jointly determined by minimizing the expected total cost of product under the specified AOQL value.


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