181
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

On the Allocation of Redundancies in Series and Parallel Systems

, &
Pages 959-968 | Received 13 Aug 2008, Accepted 24 Nov 2009, Published online: 23 Dec 2010

References

  • Barlow , R. E. , Proschan , F. ( 1981 ). Statistical Theory of Reliability and Life Testing: Probability Models . Silver Spring, MD: To Begin With .
  • Blyth , C. R. ( 1972 ). Some probability paradoxes in choice from among random alternatives . J. Amer. Statist. Assoc. 67 : 366 – 373 .
  • Boland , P. J. , El-Newihi , E. , Proschan , F. ( 1991 ). Redundancy importance and allocation of spares in coherent systems . J. Stat. Plann. and Infer. 29 : 55 – 66 .
  • Boland , P. J. , El-Neweihi , E. , Proschan , F. ( 1992 ). Stochastic order for redundancy allocation in series and parallel systems . Adv. Appl. Probab. 42 : 161 – 171 .
  • Boland , P. J. , Singh , H. , Cukic , B. ( 2004 ). The stochastic precedence ordering with applications in sampling and testing . J. Appl. Proba. 41 : 73 – 82 .
  • Li , X. , Hu , X. ( 2008 ). Some new stochastic comparisons for redundancy allocations in series and parallel systems . Statist. Probab. Lett. 78 : 3388 – 3394 .
  • Mi , J. ( 1999 ). Optimal active redundancy allocation in k-out-of-n system . J. Appl. Probab. 36 : 927 – 933 .
  • Müller , A. , Stoyan , D. ( 2002 ). Comparison Methods for Stochastic Models and Risks . New York : Wiley .
  • Ra˙de , L. ( 1989 ). Expected time to failure of reliability systems . Mathemat. Sci. 14 : 24 – 37 .
  • Romera , R. , Valdés , J. E. , Zequeira , R. I. ( 2004 ). Active-redundancy allocation in systems . IEEE Trans. Reliab. 53 : 313 – 318 .
  • Singh , H. , Misra , N. ( 1994 ). On redundancy allocations in systems . J Appl. Probab. 31 : 1004 – 1014 .
  • Singh , H. , Singh , R. S. ( 1997 ). Note: optimal allocation of resources to nodes of series systems with respect to failure-rate ordering . Nav. Res. Logist. 44 : 147 – 152 .
  • Shaked , M. , Shanthikumar , J. G. ( 1992 ). Optimal allocation of resources to nodes of series and parallel systems . Adva. Appl. Probab. 24 : 894 – 914 .
  • Shaked , M. , Shanthikumar , J. G. ( 2007 ). Stochastic Orders . New York : Springer .
  • Valdés , J. E. , Zequeira , R. I. ( 2003 ). On the optimal allocation of an active redundancy in a two-component series system . Statist. Probab. Lett. 63 : 325 – 332 .
  • Valdés , J. E. , Zequeira , R. I. ( 2006 ). On the optimal allocation of two active redundancies in a two-component series system . Operat. Res. Lett. 34 : 49 – 52 .
  • Xie , M. , Shen , K. ( 1989 ). On ranking of system components with respect to different improvement actions . Microelectro. Reliab. 29 : 159 – 164 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.