International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Time Control Charts Through NHPP Based on Dagum Distribution

  • B. Srinivasa Rao1*
  • P. Sricharani
  1. Associate Professor of Statistics, R.V.R & J.C College of Engineering, Guntur-522 019, A.P., India

* Corresponding author

Abstract

Statistical process control is a method of monitoring product in its development process using statistical techniques with the presumption that the products produced under identical process condition shall not always be alike with respect to some quality characteristic(s). However, if the observed variations are within the tolerable limits statistical process control (SPC) methods would pass them for acceptance. This philosophy is adopted to decide the reliability and quality of a product by defining some quality measures and proposing a probability model for the quality measurements. The well known Dagum distribution(DD) is considered to propose a product reliability based on non-homogenous Poisson process (NHPP). Its mean value function is taken as a quality characteristic and SPC limits for it are developed. These control limits are exemplified to a live failure data to detect the out of control signals for the quality of the product based on the failure data and compared with Exponential distribution(ED).

How to Cite

B. S. Rao, P. Sricharani, Time Control Charts Through NHPP Based on Dagum Distribution, Int. J. Anal. Appl. 16 (2018), 328–339. https://doi.org/10.28924/2291-8639-16-2018-328

BibTeX
@article{Rao2018,
  author  = {Rao, B. Srinivasa and Sricharani, P.},
  title   = {Time Control Charts Through NHPP Based on Dagum Distribution},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {328--339},
  doi     = {10.28924/2291-8639-16-2018-328}
}

References

  • [1] Chan, L.Y., Xie, M. and Goh, T.N. Cumulative quality control charts for monitoring production process, Int. J. Product. Res., 38(2)( 2000), 397-408.
  • [2] Kim, H.C. Assessing software reliability based on NHPP using SPC, Int. J. Softw. Eng. Appl., 7(6)(2013), 61-70.
  • [3] Pham, H. and Zhang, X. Non homogeneous poisson process software reliability and cost models with testing coverage, Eur. J. Oper. Res., (145)(2003), 443-454.
  • [4] Xie, M., Goh, T.N. and Ranjan, P. Some effective control chart procedurs for reliability monitoring, Reliab. Eng. Syst. Safety, 77(2002), 143-150.