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2016 | 26 | 1 | 5-18

Article title

Introducing probabilistic models for redundant system reliability

Content

Title variants

Languages of publication

EN

Abstracts

EN
Probabilistic models have been developed to evaluate the relationship between reliability measures and the performance of a repairable network with built in redundancy. Networks with built in redun-dancy have been considered and explicit expressions have been derived for three characteristics related to such systems including steady-state availability, period of repair, and a profit function. Various graphs have been plotted to discover the impact of availability and mean time to system failure on net profit, as well as the impact of the failure and service rate on the steady-state availability, net profit and mean time to system failure. The system was analysed using first order linear differential equations.

Year

Volume

26

Issue

1

Pages

5-18

Physical description

Contributors

  • Department of Computer Science, Bayero University, Kano, Nigeria
author
  • Department of Mathematics, Federal University, Dutse, Nigeria
author
  • Department of Mathematical Sciences, Bayero University, Kano, Nigeria

References

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  • ROCCO S.C.M., ZIO E., Solving advanced network reliability problems by means of cellular automata and Monte Carlo sampling, Reliability Engineering and System Safety, 2005, 89 (2), 219.
  • ROCCO S.C.M., MORENO J.A., Network reliability assessment using a cellular automata approach, Reliability Engineering and System Safety, 2002, 78 (3), 289.
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  • WANG K.-H., KUO C.-C., Cost and probabilistic analysis of series systems with mixed standby components, Applied Mathematical Modelling, 2000, 24, 957.
  • WANG K.-H., HSIEH C.-H., LIOU C.-H., Cost benefit analysis of series systems with cold standby components and a repairable service station, 2006, 3 (1), 77.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-7f0793bd-118f-44e7-987e-7c2102ff8a24
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