An availability evaluation method for desalination process with three-state equipment under a specific repair queuing policy

Document Type : Article

Authors

1 Faculty of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, Canada

2 Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

3 Faculty of Management and Accounting, South Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Oil waste, is one of the most important pollutants in the oil and gas industry. Since the wells' oil has significant saltwater, the effluent amount increases with increasing oil reservoir extraction. Separating the saltwater from the extracted oil before starting the refinery process plays an essential role in reducing the oil costs as well as the useful transfer capacity. This paper presents a new Chapman-Kolmogorov Equation-based (CKEB) method to evaluate a desalination system's availability with three-state equipment and weighted-k-out-of-n configuration. In this system, the equipment is repairable, and each repair facility can repair all equipment types of different sub-systems (pump stations). We consider all failures and repairs to have a constant rate (with Exponential distribution) and use the Chapman-Kolmogorov Equation to drive the system’s availability. Then we validate the presented method using a simulation technique. Finally, the elapsed time of both solving techniques is compared. The results show the superiority of the CKEB technique in terms of computational time. Compared with the simulation technique, the computational time ratio for the CKEB method is between 0.0002% to 0.0058% for the small-size problems, between 0.05% to 0.94% for the medium-size problems, and between 1.31% to 5.39% for the large-size problems.

Keywords

References

References:
1. Ushakov, I. "Universal generating function", Soviet Journal of Computer Systems and Science, 24(5), pp. 118-129 (1986).
2. Wu, J.-S. and Chen, R.-J."An algorithm for computing the reliability of weighted-k-out-of-n systems", IEEE Transactions on Reliability, 43(2), pp. 327-328 (1994).
3. Higashiyama, Y. "A factored reliability formula for weighted-k-out-of-n system", Asia-Pacific Journal of Operational Research, 18(1), p. 61 (2001).
4. Sharifi, M., Ganjian, M., and Ghajar, H. "Expansion of reliability models based on markov chain with consideration of fuzzy failure rates: System with two parallel and identical elements with constant failure rates", In Computational Intelligence for Modelling, Control and Automation, and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, International Conference on, IEEE (2005).
5. Sharifi, M., Memariani, A., and Nouralsana, R. "Real time study of a k-out-of-n system: n identical elements with increasing failure rates", Iranian Journal of Operations Research, 1(2), pp. 56-67 (2009).
6. Lisnianski, A. and Ding, Y. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique", Reliability Engineering and System Safety, 94(11), pp. 1788-1795 (2009).
7. Sharifi, M., Memariani, A., and Noorossana, R. "Real time study of a k-out-of-n system", World Applied Sciences Journal, 8(9), pp. 1136-1143 (2010).
8. Levitin, G., Xing, L., and Dai, Y. "Sequencing optimization in k-out-of-n cold-standby systems considering mission cost", International Journal of General Systems, 42(8), pp. 870-882 (2013).
9. Guilani, P.P., Sharifi, M., Niaki, S.T.A., et al.  Reliability evaluation of non-reparable three-state systems using Markov model and its comparison with the UGF and the recursive methods", Reliability Engineering and System Safety, 129, pp. 29-35 (2014).
10. Lu, J.M., Wu, X.Y., Liu, Y., et al. "Reliability analysis of large phased-mission systems with repairable components based on success-state sampling", Reliability Engineering and System Safety, 142, pp. 123-133 (2015).
11. Levitin, G., Xing, L., and Dai, Y. "Optimal completed work dependent loading of components in cold standby systems", International Journal of General Systems, 44(4), pp. 471-484 (2015).
12. Sharifi, M. and Taghipour, S. "Optimal inspection interval for a k-out-of-n system with non-identical components", Journal of Manufacturing Systems, 55, pp. 233-247 (2020).
13. Fyffe, D.E., Hines, W.W., and Lee, N.K. "System reliability allocation and a computational algorithm", IEEE Transactions on Reliability, 17(2), pp. 64-69 (1968).
14. Ramirez-Marquez, J.E. and Coit, D.W. "A heuristic for solving the redundancy allocation problem for multi-state series-parallel systems", Reliability Engineering and System Safety, 83(3), pp. 341-349 (2004).
15. Tian, Z. and Zuo, M.J. "Redundancy allocation for multi-state systems using physical programming and genetic algorithms", Reliability Engineering and System Safety, 91(9), pp. 1049-1056 (2006).
16. Tian, Z., Zuo, M.J., and Huang, H. "Reliabilityredundancy allocation for multi-state series-parallel systems", IEEE Transactions on Reliability, 57(2), pp. 303-310 (2008).
17. Ouzineb, M., Nourelfath, M., and Gendreau, M. "Tabu search for the redundancy allocation problem of homogenous series-parallel multi-state systems", Reliability Engineering and System Safety, 93(8), pp. 1257-1272 (2008).
18. Mousavi, S.M., Alikar, N., Niaki, S.T.A., et al. "Two tuned multi-objective meta-heuristic algorithms for solving a fuzzy multi-state redundancy allocation problem under discount strategies", Applied Mathematical Modelling, 39(22), pp. 6968-6989 (2015).
19. Wang, W., Xiong, J., and Xie, M. "Cold-standby redundancy allocation problem with degrading components", International Journal of General Systems, 44(7-8), pp. 876-888 (2015).
20. Lai, C.M. and Yeh, W.C. "Two-stage simplified swarm optimization for the redundancy allocation problem in a multi-state bridge system", Reliability Engineering and System Safety, 156, pp. 148-158 (2016).
21. Shahriari, M., Sharifi, M., and Naserkhaki, S. "A new continuous multi-state reliability model with time dependent component performance pate", Journal of New Researches in Mathematics, 1(4), pp. 169-180 (2016).
22. George-Williams, H. and Patelli, E. "A hybrid load flow and event driven simulation approach to multistate system reliability evaluation", Reliability Engineering and System Safety, 152, pp. 351-367 (2016).
23. Attar, A., Raissi, S., and Khalili-Damghani, K. "A simulation-based optimization approach for free distributed repairable multi-state availability-redundancy allocation problems", Reliability Engineering and System Safety, 157, pp. 177-191 (2017).
24. Essadqi, M., Idrissi, A., and Amarir, A. "An effective oriented genetic algorithm for solving redundancy allocation problem in multi-state power systems", Procedia Computer Science, 127, pp. 170-179 (2018).
25. Tavana, M., Khalili-Damghani, K., Di Caprio, D., et al. "An evolutionary computation approach to solving repairable multi-state multi-objective redundancy allocation problems", Neural Computing and Applications, 30(1), pp. 127-139 (2018).
26. Sharifi, M., Moghaddam, T.A., and Shahriari, M. "Multi-objective redundancy allocation problem with weighted-k-out-of-n subsystems", Heliyon, 5(12), e02346 (2019).
27. Sharifi, M., Shahriari, M., and Zaretalab, A. "The effects of technical and organizational activities on redundancy allocation problem with choice of selecting redundancy strategies using the memetic algorithm", International Journal of Industrial Mathematics, 11(3), pp. 165-176 (2019).
28. Sun, M.X., Li, Y.F., and Zio, E. "On the optimal redundancy allocation for multi-state series-parallel systems under epistemic uncertainty", Reliability Engineering and System Safety, 192, 106019 (2019).
29. Hadipour, H., Amiri, M., and Sharifi, M. "Redundancy allocation in series-parallel systems under warm standby and active components in repairable subsystems", Reliability Engineering and System Safety, 192, 106048 (2019).
30. Sharifi, M., Saadvandi, M., and Shahriari, M. "Presenting a series-parallel redundancy allocation problem with multi-State components using recursive algorithm and meta-heuristic", Scientia Iranica. Transaction E, Industrial Engineering, 27(2), pp. 970-982 (2020).
31. Xu, Y., Pi, D., Yang, S., et al. "A novel discrete bat algorithm for heterogeneous redundancy allocation of multi-state systems subject to probabilistic commoncause failure", Reliability Engineering and System Safety, 208(C), 107338 (2020).
32. Borhani Alamdari, A.H. and Sharifi, M. "Solving a joint availability-redundancy optimization model with multi-state components with meta-heuristic", International Journal of Industrial Mathematics, 12(1), pp. 59-70 (2020).
33. Xiahou, T., Liu, Y., and Zhang, Q. "Multi-objective redundancy allocation for multi-State system design under epistemic uncertainty of component states", Journal of Mechanical Design, 142(11), pp. 1-29 (2020).
34. Sharifi, M., Cheragh, G., Dashti Maljaii, K., et al. "Reliability and cost optimization of a system with k-out-of-n configuration and choice of decreasing the components failure rates", Scientia Iranica, Transaction E., Industrial Engineering, 28(6), pp. 3602-3616 (2021).
35. Zaretalab, A., Hajipour, V., and Tavana, M. "Redundancy allocation problem with multi-state component systems and reliable supplier selection", Reliability Engineering and System Safety, 193, 106629 (2020).
36. Sharifi, M. and Taghipour, S. "Optimizing a redundancy allocation problem with open-circuit and shortcircuit failure modes at the component and subsystem levels", Engineering Optimization, 53(6), pp. 1064- 1080 (2021).
37. Du, M. and Li, Y.F. "An investigation of new local search strategies in memetic algorithm for redundancy allocation in multi-state series-parallel systems", Reliability Engineering and System Safety, 195, 106703 (2020).
38. Sharifi, M., Shahriari, M., Khajepour, A., et al. "Reliability optimization of a k-out-of-n series-parallel system with warm standby components", Scientia Iranica, Transaction E., Industrial Engineering, 29(6), pp. 3523-3541 (2022).
39. El-Nashar, A.M. "Optimal design of a cogeneration plant for power and desalination taking equipment reliability into consideration", Desalination, 229(1-3), pp. 21-32 (2008).
40. Hosseini, S.R., Amidpour, M., and Behbahaninia, A. "Thermoeconomic analysis with reliability consideration of a combined power and multi-stage  ash desalination plant", Desalination, 278(1-3), pp. 424- 433 (2011).
41. Hosseini, S.R., Amidpour, M., and Shakib, S.E. "Cost optimization of a combined power and water desalination plant with exergetic, environment and reliability consideration", Desalination, 285, pp. 123-130 (2012).
42. Zhou, J., Chang, V.W.C., and Fane, A.G. "Life cycle assessment for desalination: a review on methodology feasibility and reliability", Water Research, 61, pp. 210-223 (2014).
43. Ailliot, P., Boutigny, M., Koutroulis, E., et al. "Stochastic weather generator for the design and reliability evaluation of desalination systems with renewable energy sources", Renewable Energy, 158, pp. 541- 553 (2020).
44. Wang, H., Asefa, T., Wanakule, N., et al. "Application of decision-support tools for seasonal water supply management that incorporates system uncertainties and operational constraints", Journal of Water Resources Planning and Management, 146(6), 05020008 (2020).
Scientia Iranica
Volume 30, Issue 5
Transactions on Industrial Engineering (E)
September and October 2023
Pages 1855-1874

Files

Share

How to cite

Statistics