International Journal of Statistics and Reliability Engineering

No Publication Cost

Vol 9, No 3:

subscription

A Sharp Approximation of Stress-Strength Reliability for a Hollow Rectangular Tube under the Weibull Setup

Abstract

This paper proposes a new approach for estimating the reliability of system where stress and strength are defined as complex function and whose reliability is difficult to manage through analytic techniques. The discretization was the earlier approach for reliability approximation. But the method fails to provide extent of error in terms of distributional parameters. To get rid of this difficulty, researchers propose method of offering bound based approach where reliability planner`s not only get a clear idea about the extent of error but also can manipulate in terms of design parameters. Here, this reliability approximation has been under taken under the Weibull setup which is widely used model for reliability analysis and a sharp approximation of reliability for a hollow rectangular tube has been found out. Using our work, reliability planners will be able to obtain reliability in terms of design parameters during the early stages of product design and adjust it according to their requirements.

Full Text

PDF

References

1. Barbiero; A Discretizing Method for Reliability Computation in Complex Stress Strength Models. World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences, 11(4), 1395-1401 (2010).

2. D. Roy; Reliability Measures in the Discrete Bivariate Setup and Related Characterization Results for a Bivariate Geometric Distribution. J. Multivariate Analysis, 46, 362 – 373, (1993).

3. D. Roy; T. Dasgupta; A Discretizing Approach for Evaluating Reliability of Complex systems Under Stress\Strength Model. IEEE Transaction on Reliability, 50(2), 145-150 (2001).

4. D. Roy; T. Dasgupta; Evaluation of Reliability of Complex Systems by Means of a Discretizing Approach: Weibull Setup. International Journal for Quality and Reliability Management, 19(6), 792-801 (2002).

5. D. Roy; T. Ghosh; A New Discretization Approach with Application in Reliability Estimation. IEEE Transactions on Reliability, 58(3), 456 - 461 (2009).

6. G.Taguchi; Performance Analysis Design. International Journal of Production Research, 16(6), 521-530 (1978).

7. H. Krishna and P.S. Pundir; Discrete Maxwell Distribution. Interstat (2007).

8. J. R. D`Errico and N. A. Zaino; Statistical Tolerancing using a Modification of Taguchi’s Method. Technometrics, 30(4), 397-405 (1988).

9. J. R. English; T. Sargent and T. L. Landers; A Discretizing Approach for Stress/Strength Analysis. IEEE Transaction on Reliability, 45(1), 84-89 (1996).

10. K.C. Kapur and L.R. Lamberson; Reliability in Engineering Design. John Wiley and Sons (1976).

11. S. Nayak; Reliability Approximation for a Hollow Rectangular Tube under the Weibull and Rayleigh Set Up. Indian Association for Productivity Quality and Reliability, 38, 19-28 (2013).

12. S. Nayak; B. Seal and D. Roy; Reliability Approximation for Solid Shaft under Gamma Setup. Journal of Reliability and Statistical Studies, 7(1), 11 – 17 (2014).

13. S. Nayak and D. Roy; A Bound based Reliability Approximation for a Complex System. Journal of Statistics and Application, 7, 29- 40 (2012).

14. S. Nayak and D. Roy; Reliability Approximation for a Complex System under the Stress-Strength Model. International Journal of Statistics and Application, 13, 71-80 (2012).

15. S. Nayak and D. Roy; Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup. Journal of Statistical Theory and Application, 14(3), 281-288 (2015).

16. T. Ghosh; D. Roy and N.K. Chandra; Discretization of Random Variables with Application in Reliability Estimation. Calcutta Statistical Association Bulletin, 63(1-4), 323-338 (2011).

17. T. Ghosh; D. Roy and N.K. Chandra; Reliability Approximation through the Discretization of Random Variables using Reversed Hazard Rate Function. International journal of mathematical sciences, 7(4), 735-739 (2013).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content