ارزیابی قابلیت اطمینان سیستم‌های سری ـ موازی چند حالته با مکانیزم اشتراک عملکرد چند حالته

نوع مقاله : پژوهشی

نویسندگان

گروه مهندسی صنایع، دانشکده‌ی فنی و مهندسی، دانشگاه خوارزمی

چکیده

سیستم اشتراک عملکرد، برای افزایش و بهبود قابلیت اطمینان یک سیستم توسط پژوهشگران ارائه شده است. در این پژوهش، یک سیستم سری ـ موازی

چند حالته با مکانیزم اشتراک عملکرد در نظر گرفته شده است. در این سیستم، عملکرد مازاد هر زیرسیستم به وسیله‌ی خطوط انتقال چند حالته با زیرسیستم مجاور خود به اشتراک گذاشته می‌شود. به دلیل هدررفت انتقال، خطوط در حین انتقال عملکرد، مقداری از عملکرد خود را از دست می‌دهند. مدل ریاضی برای سیستم پیشنهادی ارائه شده و برای ارزیابی آن از روش تابع مولد فراگیر استفاده شده است. جهت حل مدل پیشنهادی با استفاده از الگوریتم ژنتیک، مثال عددی نیز تعریف

شده است. در این مثال، دو موضوع تأثیر مکانیزم اشتراک عملکرد بر قابلیت اطمینان سیستم و تأثیر هدررفت انتقال بر قابلیت اطمینان سیستم مورد بررسی قرار گرفته است. نتایج به دست آمده، افزایش قابلیت اطمینان را در سیستم پیشنهادی را نشان می‌دهد.

کلیدواژه‌ها


عنوان مقاله [English]

Reliability evaluation of multi-state series-parallel systems with multi-state performance sharing mechanism

نویسندگان [English]

  • M. Torkamani Mianji
  • Y. Javid
Industrial Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran
چکیده [English]

Reliability is the probability that a system will perform properly over a period of time under specified operating conditions. A Performance-sharing system has been proposed by researchers to increase and improve the reliability of a system. Recently, a new procedure for sharing surplus performance has been introduced. In this procedure, the surplus performance of each unit is shared with its adjacent unit. This mechanism is investigated in a simple series structure. But in reality, the system can have different components and more complex structures. Therefore, it is necessary to investigate this procedure in other structures such as series-parallel structures with different components. Classical reliability theory in the basic state is considered binary, in which a system or a component has only two possible states, that is, it either works or breaks down. However, many real-world systems have multiple operational performance levels. Therefore, the study of multi-state systems is of particular importance. The problem of transmission loss can be considered in various dimensions such as power systems, mechanical tools, etc. If transmission loss is not considered in performance-sharing systems, system reliability is overestimated. Therefore, it is important to consider the transmission loss between lines of this system. In this study, a series-parallel multi-state system with a performance-sharing mechanism is provided. In this system, the surplus performance of each subsystem is shared with adjacent subsystems through multi-state transmission lines. Due to transmission loss, the lines lose some of their performance during transmission. The mathematical model is presented for the proposed system and the universal generating function method is used to evaluate it. To solve the proposed model using a genetic algorithm, a numerical example is defined. In this example, two issues are examined.1) The effect of the performance-sharing mechanism on system reliability 2) The effect of transmission loss on system reliability. The results show an increase in reliability in the proposed system.

کلیدواژه‌ها [English]

  • Series- parallel system
  • Performance sharing mechanism
  • Multi-state transmission lines
  • Transmission loss
  • Universal Generating Function
1. Barlow, R.E. and Proschan, F., Statistical theory of reliability and life testing probabiliry model, Silver spring,1981. 2. 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,Vol. 94(11) , pp.1788-95,2009. 3. Levitin,G.,“Reliability of muliti- state system with common bus performance sharing”, Institute of International Education Transactions ,Vol.43(7),pp. 518-524 ,2011. 4. Yu, H. and Yang, J. and Zhao, Y.,“ Reliability of non-repairable phased- mission systems with common bus performance sharing”, Risk and Reliability ,Vol.232(6),pp. 647-660,2018. 5. Lisnianski, A. and Frenkel, I. and Ding, Y., Multi- state system reliability analysis and optimization for engineers and industrial managers, Springer-Verlag, 2010. 6. Zhai, Q.Q. and Ye, Z.S. and Peng, R. and Wang W. B.,“Defense and attack of performance sharing common bus systems”, Operational Research, Vol.256(3), pp.962-975, 2017. 7. Jia, H. and Liu, D. and Li, Y. and Ding, Y. and Liu, M. and Peng, R.,“ Reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism”, Reliability Engineering and System Safety, Vol.204,pp. 107-139,2020. 8. Papazoglou, T.M., “Maximum efficiency of interconnected transmission lines”, International Jornal of Electrical Power & Energy Systems, Vol.141, pp.353-356,1994. 9. Qiu, S. and Ming, H., “Reliability evaluation of multi- state series- parallel systems with common bus performance sharing considering transmission loss”, Reliability Engineering and System Safety,Vol. 189,pp. 406-415, 2019. 10. Wang, G. and Duan, F. and Zhou, Y., “Reliability evaluation of multi- state series systems with performance sharing”, Reliability Engineering and System Safety,Vol. 173,pp. 58-63, 2018. 11. Zhaoa, X. and Wanga, S. and Wangb, X. and Fan, Y.,“ Multi-state balanced systems in shack environment”, Reliability Engineering and System Safety ,Vol.193,2020 12. Azhdari, A. and Ardakan Abouei, M., “ Reliability optimization of multi-state networks in a star configuration with bi-level performance sharing mechanism and transmission losses”, Reliability Engineering and System Safety,Vol. 226, 2022 13. Peng, R., “Optimal component allocation in a multi-state system with hierarchical performance sharing groups”, Operational Research Society,Vol. 70,pp. 581-587,2018. 14. Sua, P. and Wang, G. and Duan, F.,“ Reliability evaluation of a k-out-of-n(G)- subsystem based multi- state system with common bus performance sharing”, Reliability Engineering and System Safety ,Vol.198, 2020. 15. Wu, C. and Zhao, X. and Wang, X. and Wang, S., “ Reliability analysis of performance – based balanced systems with common bus performance sharing”, Reliability Engineering and System Safety,Vol. 215, 2021. 16. Wu, C. and Pan, R. and Zhao, X. and Cao, S.,“Reliability evaluation of consecutive k-out-of-n:F systems with two performance sharing groups”, Computers & Industrial Engineering,Vol.153, 2021. 17. Su, P. and Wang, G. and Duan, F.,“Reliability analysis for k-out-of-(n+1):G star con figuration multi- state systems with performance sharing”, Computers & Industrial Engineering, Vol.152, 2021 18. Li, L. and Yang, J. and Cheng, C.,“Reliability assessment of multi-state phased mission systems with common bus performance sharing considering transmission loss and performance storage”, Reliability Engineering and System Safety, Vol. 199, 2020 19. Li, L. and Yang, J. and Cheng, C.,“Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subject to common cause failures”, Reliability Engineering and System Safety, Vol.216, 2021 20. Mengyao, S. and Rui, P. and Yuanying, C. and Di, W.,“Reliability of capacitated systems with performance sharing mechanism”, Reliability Engineering and System Safety, Vol. 189, pp. 335-344, 2019 21. Yan, X. and Qiu, H. and Peng, R. and Wu, S., “Optimal configuration of a power grid system with a dynamic performance sharing mechanism”, Reliability Engineering and System Safety, Vol. 193, 2020. 22. Ming, X. and Qiu, S., “A fuzzy universal generating function- based method for the reliability evaluation of series systems with performance sharing between adjacent units under parametric uncertainty”,Fuzzy Sets and Systems, Vol. 424, pp. 155-169, 2021 23. Sadovskaia, K. and Bogdanov, D. and Honkapuro, S.,“Power transmission and distribution losses-A model based on available empirical data and future trends for all countries globally”, International Journal of Electrical Power & Energy systems, Vol.107, pp. 98-109, 2019. 24. Yi, K. and Xiao, H. and Kou, G. and Peng, R., “Trade-off between maintenance and protection for multi- state performance sharing systems with transmission loss”, Computers & Industrial Engineering, Vol. 136, pp. 305-315, 2019. 25. Xiao, H. and Zhang, Y. and Xiang, Y. and Peng, R., “Optimal design of a linear sliding window system wlth consideration of performance sharing”, Reliability Engineering and System Safety, Vol.198, 2020 26. Gao, G. and Wang, j. and Yue, W. and Ou, W., “Structural- vulnerability assessment of reconfigurable manufacturing system based on universal generating function”, Reliability Engineering and System Safety, Vol. 203, 2020