References
1. Teimouri, M., Zaretalab, A., Niaki, S.T.A., et al. “An efficient memory-based electromagnetism-like mechanism for the redundancy allocation problem”, Applied Soft Computing, 38, pp. 423-436 (2016). https://doi.org/10.1016/j.asoc.2015.09.043
2. Sharifi, M., Saadvandi, M., and Shahriari, M.R. “Presenting a series-parallel redundancy allocation problem with multi-state components using recursive algorithm and meta-heuristic”, Scientia Iranica, 27(2), pp. 970-982 (2020). https://doi.org/10.24200/sci.2018.51176.2040
3. Yeh, W.-C. and. Hsieh, T.-J “Solving reliability redundancy allocation problems using an artificial bee colony algorithm”, Computers & Operations Research, 38(11), pp. 1465-1473 (2011). https://doi.org/10.1016/j.cor.2010.10.028
4. Kanagaraj, G., Ponnambalam, S., and Jawahar, N. “A hybrid cuckoo search and genetic algorithm for reliability-redundancy allocation problems”, Computers & Industrial Engineering, 66(4), pp. 1115-1124 (2013). https://doi.org/10.1016/j.cie.2013.08.003
5. Sabri-Laghaie, K., Eshkevari, M., Fathi, M., et al. “Redundancy allocation problem in a bridge system with dependent subsystems”, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 233(4), pp. 658-669 (2019). https://doi.org/10.1177/1748006X18814627
6. Garg, H. and Sharma, S. “Multi-objective reliability-redundancy allocation problem using particle swarm optimization”, Computers & Industrial Engineering, 64(1), pp. 247-255 (2013). https://doi.org/10.1016/j.cie.2012.09.015
7. Sabri-Laghaie, K. and Karimi-Nasab, M. “Random search algorithms for redundancy allocation problem of a queuing system with maintenance considerations”, Reliability Engineering & System Safety, 185, pp. 144-162 (2019). https://doi.org/10.1016/j.ress.2018.12.010
8. Najafi, A.A., Karimi, H., Chambari, A., et al. “Two metaheuristics for solving the reliability redundancy allocation problem to maximize mean time to failure of a series-parallel system”, Scientia Iranica, 20(3), pp. 832-838 (2013). https://doi.org/10.1016/j.scient.2012.12.022
9. Roy, P., Mahapatra, B., Mahapatra, G., et al. “Entropy based region reducing genetic algorithm for reliability redundancy allocation in interval environment”, Expert Systems with Applications, 41(14), pp. 6147-6160 (2014). https://doi.org/10.1016/j.eswa.2014.04.016
10. Kim, H. and Kim, P. “Reliability-redundancy allocation problem considering optimal redundancy strategy using parallel genetic algorithm”, Reliability Engineering & System Safety, 159, pp. 153-160 (2017). https://doi.org/10.1016/j.ress.2016.10.033
11. Sharifi, M. and Taghipour, S. “Optimizing a redundancy allocation problem with open-circuit and short-circuit failure modes at the component and subsystem levels”, Engineering Optimization, 53(6), pp. 1064-1080 (2020). https://doi.org/10.1080/0305215X.2020.1771704
12. Pourkarim Guilani, P., Zaretalab, A., Niaki, S.A., et al. “A bi-objective model to optimize reliability and cost of k-out-of-n series-parallel systems with tri-state components”, Scientia Iranica, 24(3), pp. 1585-1602 (2017). https://doi.org/10.24200/sci.2017.4137
13. Ouyang, Z., Liu, Y., Ruan, S.-J., et al. “An improved particle swarm optimization algorithm for reliability-redundancy allocation problem with mixed redundancy strategy and heterogeneous components”, Reliability Engineering & System Safety, 181, pp. 62-74 (2019). https://doi.org/10.1016/j.ress.2018.09.005
14. Huang, C.-L. “A particle-based simplified swarm optimization algorithm for reliability redundancy allocation problems”, Reliability Engineering & System Safety, 142, pp. 221-230 (2015). https://doi.org/10.1016/j.ress.2015.06.002
15. Zhang, E. and Chen, Q. “Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization”, Reliability Engineering & System Safety, 145, pp. 83-92 (2016). https://doi.org/10.1016/j.ress.2015.09.008
16. Hsieh, T.-J. “A simple hybrid redundancy strategy accompanied by simplified swarm optimization for the reliability–redundancy allocation problem”, Engineering Optimization, 54(3), pp. 369-386 (2021). https://doi.org/10.1080/0305215X.2020.1862826
17. Garg, H., Rani, M., and Sharma, S. “An efficient two phase approach for solving reliability-redundancy allocation problem using artificial bee colony technique”, Computers & Operations Research, 40(12), pp. 2961-2969 (2013). https://doi.org/10.1016/j.cor.2013.07.014
18. Hsieh, Y.C. and You, P.S. “An effective immune based two-phase approach for the optimal reliability-redundancy allocation problem”, Applied Mathematics and Computation, 218(4), pp. 1297-1307 (2011). https://doi.org/10.1016/j.amc.2011.06.012
19. Garg, H. “An efficient biogeography based optimization algorithm for solving reliability optimization problems”, Swarm and Evolutionary Computation, 24, pp. 1-10 (2015). https://doi.org/10.1016/j.swevo.2015.05.001
20. Mousavi, S.M., Alikar, N., and Niaki, S.T.A. “An improved fruit fly optimization algorithm to solve the homogeneous fuzzy series-parallel redundancy allocation problem under discount strategies”, Soft Computing, 20, pp. 2281-2307 (2016). https://doi.org/10.1007/s00500-015-1641-5
21. Maksoud, E.Y.A. and Moustafa, M.S. “A semi-Markov decision algorithm for the optimal maintenance of a multistage deteriorating two-unit standby system”, Operational Research, 9(2), pp. 167-182 (2009). https://doi.org/10.1007/s12351-008-0022-6
22. Juybari, M.N., Abouei Ardakan, M., and Davari-Ardakani, H. “A penalty-guided fractal search algorithm for reliability-redundancy allocation problems with cold-standby strategy”, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 233(5), pp. 775-790 (2019). https://doi.org/10.1177/1748006X19825707
23. Dobani, E.R., Ardakan, M.A., Davari-Ardakani, H., et al. “RRAP-CM: A new reliability-redundancy allocation problem with heterogeneous components”, Reliability Engineering & System Safety, 191, 106563 (2019). https://doi.org/10.1016/j.ress.2019.106563
24. Azimi, P., M. Hemmati, and A. Chambari, “Solving the redundancy allocation problem of k-out-of-n with non-exponential repairable components using optimization via simulation approach”, Scientia Iranica, 24(3), pp. 1547-1560 (2017). http://doi.org/10.24200/sci.2017.4134
25. Sharifi, M., Shahriyari, M., Khajepour, A., et al. “Reliability optimization of a k-out-of-n series-parallel system with warm standby components”, Scientia Iranica, 29(6), pp. 3523-3541 (2021). http://doi.org/10.24200/sci.2021.56113.4591
26. Neuts, M.F. Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach, Dover Pubns (1981).
27. Buchholz, P., Kriege, J., and Felko, I. Input Modeling with Phase-type Distributions and Markov Models: Theory and Applications, Springer (2014).
28. Medhi, J., Stochastic Models in Queueing Theory, Elsevier (2002).
29. Gendreau, M. and Potvin, J.-Y. Handbook of Metaheuristics, 2nd Ed., Springer (2010).
30. Liu, B. and Liu, B., Theory and Practice of Uuncertain Programming, 2nd Ed., Springer (2009).
31. Salimi, H., “Stochastic fractal search: A powerful metaheuristic algorithm”, Knowledge-Based Systems, 75, pp. 1-18 (2015). https://doi.org/10.1016/j.knosys.2014.07.025
32. Kuo, W. and. Prasad, V.R “An annotated overview of system-reliability optimization", IEEE Transactions on Reliability, 49(2), pp. 176-187 (2000). https://doi.org/10.1109/24.877336
33. Kazemisaboor, A., Aghaie, A., and Salmanzadeh, H. “A simulation-based optimisation framework for process plan generation in Reconfigurable Manufacturing Systems (RMSs) in an uncertain environment”, International Journal of Production Research, 60(7), pp. 2067-2085 (2021). https://doi.org/10.1080/00207543.2021.1883762