158
Views
3
CrossRef citations to date
0
Altmetric
Articles

Reliability analysis of a k-out-of-n:G system with general repair times and replaceable repair equipment

, , , &
Pages 274-300 | Accepted 05 Aug 2016, Published online: 06 Sep 2016

References

  • Barron, Y., Frosting, E., & Levikson, B. (2006). Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: an algorithmic approach. European Journal of Operational Research, 169(1), 202–225.
  • Bjarnason, E. T. S., Taghipour, S., & Banjevic, D. (2014). Joint optimal inspection and inventory for a k-out-of-n system. Reliability Engineering and System Safety, 131(11), 203–215.
  • Cao, J. H., & Wu, Y. H. (1988). Reliability analysis of a multistate system with a replaceable repair facility. Acta Mathematicae Applicatae Sinica, 4(2), 113–121.
  • Cao, J. H., & Cheng, K. (2006). Introduction to reliability mathematical. Bei Jing: Higher Education Press.
  • Chakravarthy, S. R., Krishnamoorthy, A., & Ushakumari, P. V. (2001). A k-out-of-n reliability system with an unreliable server and phase type repairs and services: the (N,T) policy. Journal of Applied Mathematics and Stochastic Analysis, 14(4), 361–380.
  • Chakravarthy, S. R., & Gómez-Corral, A. (2009). The influence of delivery times on repairable k-out-of-N systems with spares. Applied Mathematical Modelling, 33(5), 2368–2387.
  • Chen, L. P., Ye, Z. S., & Xie, M. (2013). Joint maintenance and spare component provisioning policy for k-out-of-n systems. Asia-Pacific Journal of Operational Research, 30(6), 1–21.
  • Frostig, E., & Levikson, B. (2002). On the availability of R out of N repairable systems. Naval Research Logistics, 49(5), 483–498.
  • Jain, M., & Gupta, R. (2012). Load sharing M-out of-N:G system with non-identical components subject to commom cause failure. International Journal of Mathematics in Operational Research, 4(5), 586–605.
  • Janssen, J., & Manca, R. (2006). Applied Semi-Markov Processes. New York, NY: Springer.
  • Khatab, A., Nahas, N., & Nourelfath, M. (2009). Availability of k-out-of-n:G systems with non-identical components subject to repair priorities. Reliability Engineering and System Safety, 94(2), 142–151.
  • Krishnamoorthy, A., & Ushakumari, P. V. (2001). K-out-of-n system with repair: The D-policy. Computers & Operations Research, 28(10), 973–981.
  • Kuo, W., & Zuo, M. J. (2003). Optimal reliability modeling: Principles and applications. New York, NY: John Wiley & Sons.
  • Lam, Y., Zhang, Y. L., & Liu, Q. (2006). A geometric process model for M/M/1 queueing system with a repairable service station. European Journal of Operational Research, 168(1), 100–121.
  • Li, X. H., Zuo, M. J., & Yam, R. C. M. (2006). Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down. Reliability Engineering and System Safety, 91(3), 305–310.
  • Moghaddass, R., Zuo, M. J., & Wang, W. B. (2011). Availability of a general k-out-of-n:G system with non-identical components considering shut-off rules using quasi-birth-death process. Reliability Engineering and System Safety, 96(4), 489–496.
  • Moustafa, M. S. (2001). Availability of k-out-of-n:G systems with exponential failures and general repairs. Economic Quality Control, 16(1), 75–82.
  • Pérez-Ocón, R., Montoro-Cazorla, D., & Ruiz-Castro, J. E. (2006). Transient analysis of a multi-component system modeled by a general Markov process. Asia-Pacific Journal of Operational Research, 23(3), 311–327.
  • Ruiz-Castro, J. E., & Li, Q. L. (2011). Algorithm for a general discrete k-out-of-n:G system subject to several types of failure with an indefinite number of repairpersons. European Journal of Operational Research, 211(1), 97–111.
  • Tang, Y. H., & Zhang, J. (2008). New model for load-sharing k-out-of-n:G system with different components. Journal of Systems Engineering and Electronics, 19(4), 748–751.
  • Tang, Y. H. (2010). Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results. Acta Mathematicae Applicatae Sinica, 26(4), 557–566.
  • Ushakumari, P. V., & Krishnamoorthy, A. (2004). K-out-of-n system with repair: the max (N,T) policy. Performance Evaluation, 57(2), 221–234.
  • Wu, W. Q., Tang, Y. H., Yu, M. M., & Jiang, Y. (2014). Reliability analysis of a k-out-of-n:G repairable system with single vacation. Applied Mathematical Modelling, 38(24), 6075–6097.
  • Yu, M. M., Tang, Y. H., Fu, Y. H., Pan, L. M., & Tang, X. W. (2012). A deteriorating repairable system with stochastic lead time and replaceable repair facility. Computers & Industrial Engineering, 62(2), 609–615.
  • Yuan, L. (2012). Reliability analysis for a k-out-of-n:G system with redundant dependency and repairmen having multiple vacations. Applied Mathematics and Computation, 218(24), 11959–11969.
  • Zhang, Y. L. & Wu, S. M. (2009). Reliability analysis for a k/n(F) system with repairable repair-equipment. Applied Mathematical Modelling, 33(7), 3052–3067.

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.