Component Redundancy Versus System Redundancy in Different Stochastic Orderings

Stochastic orders are useful to compare the lifetimes of two systems. We discuss both active redundancy as well as standby redundancy. We show that redundancy at the component level is superior to that at the system level with respect to different stochastic orders, for different types of systems.

[1]  R. I. Zequeira,et al.  On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies , 2011 .

[2]  Moshe Shaked,et al.  STOCHASTIC COMPARISONS OF NONHOMOGENEOUS PROCESSES , 2001, Probability in the Engineering and Informational Sciences.

[3]  J. Shanthikumar,et al.  Multivariate Stochastic Orders , 2007 .

[4]  Harshinder Singh,et al.  Preservation of some partial orderings under the formation of coherent systems , 1998 .

[5]  Taizhong Hu,et al.  An analytic proof of the preservation of the up-shifted likelihood ratio order under convolutions , 2001 .

[6]  Francisco J. Samaniego,et al.  System Signatures and Their Applications in Engineering Reliability , 2007 .

[7]  David D. Yao,et al.  The preservation of likelihood ratio ordering under convolution , 1986 .

[8]  Amit Misra,et al.  ACTIVE REDUNDANCY ALLOCATIONS IN SERIES SYSTEMS , 2011 .

[9]  R. Lillo,et al.  Some Shifted Stochastic Orders , 2000 .

[10]  Harshinder Singh,et al.  ON REDUNDANCY ALLOCATIONS IN SYSTEMS , 1994 .

[11]  Xiaohu Li,et al.  On the Allocation of Redundancies in Series and Parallel Systems , 2011 .

[12]  Debasis Sengupta,et al.  Log-concave and concave distributions in reliability , 1999 .

[13]  José E. Valdés,et al.  Active-redundancy allocation in systems , 2004, IEEE Transactions on Reliability.

[14]  Harshinder Singh,et al.  On allocation of spares at component level versus system level , 1997 .

[15]  Neeraj Misra,et al.  Standby redundancy allocations in series and parallel systems , 2011 .

[16]  Neeraj Misra,et al.  Optimal Allocation of Active Spares in Series Systems and Comparison of Component and System Redundancies , 2009, Journal of Applied Probability.

[17]  F. Belzunce,et al.  ON PARTIAL ORDERINGS BETWEEN COHERENT SYSTEMS WITH DIFFERENT STRUCTURES , 2001, Probability in the Engineering and Informational Sciences.

[18]  Yi-Ching Chen,et al.  Redundancy allocation of series-parallel systems using a variable neighborhood search algorithm , 2007, Reliab. Eng. Syst. Saf..

[19]  T. Nakai.  A partially observable decision problem under a shifted likelihood ratio ordering , 1995 .

[20]  Elena N. Zaitseva,et al.  Investigation Multi-State System Reliability by Structure Function , 2007, 2nd International Conference on Dependability of Computer Systems (DepCoS-RELCOMEX '07).

[21]  J. Sethuraman,et al.  Multistate Coherent Systems. , 1978 .

[22]  Moshe Shaked,et al.  Partial Ordering and Aging Properties of Order Statistics When the Sample Size is Random: A Brief Review , 2008 .

[23]  Asok K. Nanda,et al.  SOME RESULTS ON REVERSED HAZARD RATE ORDERING , 2001 .

[24]  Harshinder Singh,et al.  The stochastic precedence ordering with applications in sampling and testing , 2004, Journal of Applied Probability.

[25]  P. Boland,et al.  Component redundancy vs system redundancy in the hazard rate ordering , 1995 .

[26]  Maxim Finkelstein,et al.  Failure Rate Modelling for Reliability and Risk , 2008 .

[27]  Asok K. Nanda,et al.  Some results on active redundancy at component level versus system level , 2013, Oper. Res. Lett..

[28]  Xiaohu Li,et al.  Some new stochastic comparisons for redundancy allocations in series and parallel systems , 2008 .