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American Journal of Mathematical and Management Sciences Volume 37, 2018 - Issue 4
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Articles

Optimal Redundancy Allocation in Homogeneous Multi-State Coherent Systems

Debasis BhattacharyaVisva-Bharati University, Santiniketan, India
&
Soma RoychowdhuryIndian Institute of Social Welfare and Business Management, Calcutta, IndiaCorrespondence[email protected]
Pages 358-369 | Published online: 03 May 2018

References

  • Agarwal, M., & Sharma, V. K. (2009). Ant colony optimization algorithm for heterogeneous redundany allocation in multi-state series-parallel systems. International Journal of Reliability, Quality and Safety Engineering, 16(2), 163–186. doi:10.1142/S0218539309003344
  • Barlow, R. E., & Wu, A. S. (1978). Coherent systems with multi-state components. Mathematics of Operations Research, 3(4), 275–281. doi:10.1287/moor.3.4.275
  • Bhattacharya, D., & Roychowdhury, S. (2013). A general rule for optimally allocating redundant components in a coherent system. American Journal of Mathematical and Management Sciences, 32(2), 101–117. doi:10.1080/01966324.2013.830236
  • El-Neweihi, E., Proschan, F., & Sethuraman, J. (1978). Multistate coherent systems. Journal of Applied Probability, 15, 675–688. doi:10.2307/3213425
  • Griffith, W. S. (1980). Multistate reliability models. Journal of Applied Probability, 17, 745–774. doi:10.2307/3212967
  • Guilani, P. P., Sharifi, M., Niaki, S. T. A., & Zaretalab, A. (2014). Redundancy allocation problem of a system with three-state components: A genetic algorithm (Research note). IJE Transactions, B: Applications, 27(11), 1663–1672.
  • Kocher, S., Mukherjee, H., & Samaniego, F. J. (1999). The signature of a coherent system and its application to comparisons among systems, Naval Research Logistics, 46, 507–523. doi:10.1002/(SICI)1520-6750(199908)46:5<507::AID-NAV4>3.0.CO;2-D
  • Lisnianski, A., & Levitin, G. (2003). Multistate System Reliability: Assessment, Optimization and Applications. Singapore: World Scientific.
  • Natvig, B. (1982). Two Suggestions of How to Define a Multistate Coherent System. Advances in Applied Probability, 14(2), 434–455. doi:10.2307/1426529
  • Ouzineb, M., Nourilfath, M., & Gendreau, M. (2008). Tabu search for the redundancy allocation problem of homogeneous series-parallel multi-state systems. Reliability Engineering and System Safety, 93(8), 1257–1272. doi:10.1016/j.ress.2007.06.004
  • Ross, S. (1979). Multi valued state component system, Annals of Probability, 7, 379–383. doi:10.1214/aop/1176995096

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