Applications of Lifetime Performance Index in Acceptance Sampling plans under censoring

Document Type : Research Paper

Authors

1 Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran

2 Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran.

3 Department of Industrial Engineering, Kermanshah University of Technology, Kermanshah, Iran

10.22070/jqepo.2022.15248.1210

Abstract

In this research, lifetime performance index (LPI) data are used to present a quick switching sampling (QSS) plan based on a type‐II censoring life test and the assumption that the lifetime of units follows the Weibull distribution. In this proposed QSS plan, it is also assumed that the sample size (n) and the acceptance criterion (k) are the same for both the normal and the tightened inspections of the QSS plan, but the failures (r) during the normal and tightened inspections are different in number. The equations needed to calculate the operating characteristic (OC) curve are presented for the proposed QSS along with an optimization model to minimize the average failure number (AFN). In this regard, the constraints of producer and consumers' risks are incorporated into the model. To show the performance of the proposed QSS plan, numerical analyses are performed and the studies conducted in this field are compared. The introduced QSS sampling plan can significantly reduce the cost of manufacturers at the level of industrial organizations.

Keywords

References

Abd El‐Monsef, M. M. E., & Hassanein, W. A. A. E. L. (2020). Assessing the lifetime performance index for Kumaraswamy distribution under first‐failure progressive censoring scheme for ball bearing revolutions. Quality and Reliability Engineering International, 36(3), 1086-1097.
Ahmadi, M. V., & Doostparast, M. (2019). Pareto analysis for the lifetime performance index of products on the basis of progressively first-failure-censored batches under balanced symmetric and asymmetric loss functions. Journal of Applied Statistics, 46(7), 1196-1227.
Ahmadi, M. V., Doostparast, M., & Ahmadi, J. (2013). Estimating the lifetime performance index with Weibull distribution based on progressive first-failure censoring scheme. Journal of Computational and Applied Mathematics, 239, 93-102.
Aslam, M., Yen, C.-H., Chang, C.-H., Al-Marshadi, A. H., & Jun, C.-H. (2019). A Multiple Dependent State Repetitive Sampling Plan Based on Performance Index for Lifetime Data with Type II Censoring. IEEE Access, 7, 49377-49391.
Badr, M. M., Shawky, A. I., & Abd-Elmougod, G. A. (2019). Hybrid censoring samples in assessment the lifetime performance index of Chen distributed products. Open Physics, 17(1), 607-616.
Balamurali, S., & Usha, M. (2012). Variables quick switching system with double specification limits. International Journal of Reliability, Quality and Safety Engineering, 19(02), 1250008.
Bhattacharya, R., & Aslam, M. (2019). Design of variables sampling plans based on lifetime-performance index in presence of hybrid censoring scheme. Journal of Applied Statistics, 46(16), 2975-2986.
Cha, J. H., & Badía, F. (2021). Variables acceptance reliability sampling plan for items subject to inverse Gaussian degradation process. Journal of Applied Statistics, 48(3), 393-409.
Chakrabarty, J. B., Chowdhury, S., & Roy, S. (2020). Optimum reliability acceptance sampling plan using Type-I generalized hybrid censoring scheme for products under warranty. International Journal of Quality & Reliability Management.
Dodge, H. (1967). A dual system of acceptance sampling. Technical Report No. 16.
FallahNezhad, M. S., Ahmadi Yazdi, A., Abdollahi, P., & Aslam, M. (2015). Design of economic optimal double sampling design with zero acceptance numbers. Journal of Quality Engineering and Production Optimization, 1(2), 45-56.
Fallahnezhad, M. S., Rasay, H., Darbeh, J., & Nakhaeinejad, M. (2020). Economic Single-Sampling Plans Based on Different Probability Distributions Considering Inspection Errors. Journal of Quality Engineering and Production Optimization, 5(1), 55-64.
Goodarzi, A., & Amiri, A. (2017). Monitoring Lognormal Reliability Data in a Two-Stage Process Using Accelerated Failure Time Model. Journal of Quality Engineering and Production Optimization, 2(1), 17-26.
Hu, X., & Gui, W. (2020). Assessing the lifetime performance index with Lomax distribution based on progressive type I interval censored sample. Journal of Applied Statistics, 47(10), 1757-1775.
Liu, S.-W., & Wu, C.-W. (2016). A quick switching sampling system by variables for controlling lot fraction nonconforming. International Journal of Production Research, 54(6), 1839-1849.
Mohammadipour, P., Farughi, H., Rasay, H., & Arkat, J. (2021). Designing Exponentially Weighted Moving Average Control Charts under Failure Censoring Reliability Tests. International Journal of Engineering, 34(11), 2398-2407. doi:10.5829/ije.2021.34.11b.03
Montgomery, D. C. (2020). Introduction to statistical quality control: John Wiley & Sons.
Rasay, H., & Alinezhad, E. (2022). Developing an adaptable sequential probability ratio test applicable for lifetime analysis of different continuous distributions. Quality Technology & Quantitative Management, 1-20.
Rasay, H., Farughi, H., & Advay, F. (2022). Truncated life testing under resubmitted sampling plans for Weibull distribution. Journal of Industrial and Systems Engineering.
Rasay, H., & Naderkhani, F. (2020). Designing a Reliability Quick Switching Sampling Plan based on the Lifetime Performance Index. Paper presented at the 2020 IEEE International Conference on Prognostics and Health Management (ICPHM).
Rasay, H., Naderkhani, F., & Golmohammadi, A. M. (2020). Designing variable sampling plans based on lifetime performance index under failure censoring reliability tests. Quality Engineering, 32(3), 354-370.
Romboski, L. (1969). An investigation of quick switching acceptance sampling systems [PhD dissertation]. New Brunswick (NJ): Rutgers–The State University.
Senthilkumar, D., & Raffie, B. E. (2015). Construction and Selection of Six Sigma Quick Switching Sampling System: Sample Size Tightening. International Journal of Innovative Research in Computer and Communication Engineering, 3(3), 1410-1418.
Senthilkumar, D., RAJ, S. S. M., & Raffie, B. E. (2012). Construction of Quick Switching Variables Sampling System Indexed by Crossover Point. International Journal of Engineering Science and Technology (IJEST), 4 (2) 2012, 419, 430.
Shrahili, M., Al-Omari, A. I., & Alotaibi, N. (2021). Acceptance Sampling Plans from Life Tests Based on Percentiles of New Weibull–Pareto Distribution with Application to Breaking Stress of Carbon Fibers Data. Processes, 9(11), 2041.
Soundararajan, V., & Arumainayagam, S. D. (1990). Construction and selection of modified quick switching systems. Journal of Applied Statistics, 17(1), 83-114.
Wu, C.-W., Shu, M.-H., & Chang, Y.-N. (2018). Variable-sampling plans based on lifetime-performance index under exponential distribution with censoring and its extensions. Applied Mathematical Modelling, 55, 81-93.
Wu, S.-F., & Hsieh, Y.-T. (2019). The assessment on the lifetime performance index of products with Gompertz distribution based on the progressive type I interval censored sample. Journal of Computational and Applied Mathematics, 351, 66-76. 
Journal of Quality Engineering and Production Optimization
Volume 7, Issue 1
May 2022
Pages 199-212

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