A New Start-Up Demonstration Test

The commonly known consecutive successes total failures (CSTF) start-up demonstration test procedure is improved to a total successes consecutive successes total failures (TSCSTF) procedure. Accordingly, a unit under test is accepted when either a total number of successful tests, or a specified number of consecutive successes of tests are observed before a total number of failures; otherwise the unit is rejected. The waiting time until termination (the length of the set of tests) of the new procedure is evaluated. A correct choice of parameters (e.g. the number of successes required for acceptance, the total number of failures causing rejection) using the new procedure may yield a shorter waiting time than that of the relevant CSTF procedure.

[1]  Demetrios L. Antzoulakos,et al.  Waiting times for patterns in a sequence of multistate trials , 2001, Journal of Applied Probability.

[2]  Serkan Eryilmaz,et al.  On Start-Up Demonstration Tests Under Exchangeability , 2008, IEEE Transactions on Reliability.

[3]  J. Fu,et al.  DISTRIBUTION THEORY OF RUNS AND PATTERNS ASSOCIATED WITH A SEQUENCE OF MULTI-STATE TRIALS , 1996 .

[4]  Narayanaswamy Balakrishnan,et al.  Start-Up Demonstration Tests with Rejection of Units upon Observing d Failures , 2000 .

[5]  Narayanaswamy Balakrishnan,et al.  Statistical inference from start-up demonstration test data , 1993 .

[6]  M. Chao,et al.  Survey of reliability studies of consecutive-k-out-of-n:F and related systems , 1995 .

[7]  Demetrios L. Antzoulakos,et al.  Joint distributions of successes, failures and patterns in enumeration problems , 2000, Advances in Applied Probability.

[8]  N. Balakrishnan,et al.  Statistical inference for start-up demonstration tests with rejection of units upon observing d failures , 2008 .

[9]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[10]  Donald E. K. Martin,et al.  Application of auxiliary Markov chains to start-up demonstration tests , 2008, Eur. J. Oper. Res..

[11]  Donald E. K. Martin,et al.  Markovian start-up demonstration tests with rejection of units upon observing d , 2004, Eur. J. Oper. Res..

[12]  M. Koutras Ch. 12. Applications of markov chains to the distribution theory of runs and patterns , 2003 .

[13]  William S. Griffith,et al.  Start-Up Demonstration Tests Based on Consecutive Successes and Total Failures , 2005 .

[14]  Amos E. Gera,et al.  Combined k-out-of-n:G, and consecutive k/sub c/-out-of-n:G systems , 2004, IEEE Transactions on Reliability.

[15]  Markos V. Koutras,et al.  Sooner waiting time problems in a sequence of trinary trials , 1997, Journal of Applied Probability.

[16]  Gerald J. Hahn,et al.  Evaluation of a Start-Up Demonstration Test , 1983 .