Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (5): 995-1008.doi: 10.21629/JSEE.2018.05.11
• Systems Engineering • Previous Articles Next Articles
Yang WANG1(), Shanshan FU2(), Bing WU1(), Jinhui HUANG1(), Xiaoyang WEI3,*()
Received:
2017-08-01
Online:
2018-10-26
Published:
2018-11-14
Contact:
Xiaoyang WEI
E-mail:wangyang.itsc@whut.edu.cn;fushanshan_lemon@163.com;bing.wu@whut.edu.cn;huangjinhui@whut.edu.cn;weixiaoyang@u.nus.edu
About author:
WANG Yang was born in 1976. He received his B.S. degree in mathematics from Wuhan University in 1997, M.S. degree in applied mathematics from Shanghai Jiao Tong University in 2000, and Ph.D. degree in computer science from Huazhong University of Science and Technology in 2008. He is currently an associate professor in Intelligent Transportation Systems Research Center of Wuhan University of Technology. His main research interest is transportation safety, including system resilience, risk assessment and emergency disposition. He is also conducting research on the human factors in the transportation system by developing simulation environment for humanmachine interaction measurement and group performance modeling. E-mail: Supported by:
Yang WANG, Shanshan FU, Bing WU, Jinhui HUANG, Xiaoyang WEI. Towards optimal recovery scheduling for dynamic resilience of networked infrastructure[J]. Journal of Systems Engineering and Electronics, 2018, 29(5): 995-1008.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
Table 1
Critical functionality according to different recovery strategies"
Strategy# | Order of recovery | Critical functionality variation |
1 | $l_{{{{\rm{E}}}}{{{\rm{F}}}}} \to l_{{{{\rm{F}}}}{{{\rm{C}}}}} \to l_{{{{\rm{F}}}}{{{\rm{D}}}}} $ | 8$\to $17$\to $23 |
2 | $l_{{{{\rm{E}}}}{{{\rm{F}}}}} \to l_{{{{\rm{F}}}}{{{\rm{D}}}}} \to l_{{{{\rm{F}}}}{{{\rm{C}}}}} $ | 8$\to $14$\to $23 |
3 | $l_{{{{\rm{F}}}}{{{\rm{D}}}}} \to l_{{{{\rm{E}}}}{{{\rm{F}}}}} \to l_{{{{\rm{F}}}}{{{\rm{C}}}}} $ | 12$\to $14$\to $23 |
4 | $l_{{{{\rm{F}}}}{{{\rm{D}}}}} \to l_{{{{\rm{F}}}}{{{\rm{C}}}}} \to l_{{{{\rm{E}}}}{{{\rm{F}}}}} $ | 12$\to $16$\to $23 |
5 | $l_{{{{\rm{F}}}}{{{\rm{C}}}}} \to l_{{{{\rm{F}}}}{{{\rm{D}}}}} \to l_{{{{\rm{E}}}}{{{\rm{F}}}}} $ | 12$\to $16$\to $23 |
6 | $l_{{{{\rm{F}}}}{{{\rm{C}}}}} \to l_{{{{\rm{E}}}}{{{\rm{F}}}}} \to l_{{{{\rm{F}}}}{{{\rm{D}}}}} $ | 12$\to $17$\to $23 |
Table 2
Simulation of the epistemic TTRs for 16 impaired links to test the stability of the proposed scheduling scheme"
Input | Output | ||
Mean and variation of the epistemic knowledge about recovery time | Mean of dynamic resilience | Mean of dynamic resilience compared with perfect knowledge | Variation of resilience |
M = 1.4, Var = 0.12 | 0.819 | 0.999 | 0.002 |
M = 1.2, Var = 0.12 | 0.817 | 0.997 | 0.004 |
M = 1.0, Var = 0.12 | 0.815 | 0.994 | 0.005 |
M = 0.8, Var = 0.12 | 0.806 | 0.984 | 0.010 |
M = 0.6, Var = 0.12 | 0.781 | 0.953 | 0.035 |
M = 1.4, Var = 0.03 | 0.819 | 1.000 | 0.000 |
M = 1.2, Var = 0.03 | 0.819 | 1.000 | 0.000 |
M = 1.0, Var = 0.03 | 0.819 | 1.000 | 0.000 |
M = 0.8, Var = 0.03 | 0.818 | 0.998 | 0.003 |
M = 0.6, Var = 0.03 | 0.818 | 0.998 | 0.003 |
Table 3
Configuration of the Monte Carlo simulation"
Link | Disruption | Half-normal distribution of recovery time $\widetilde{T}$ (30, 1) |
\[5 \to 10\] | 0.617 | (1$-$0.033)$\widetilde{T}$ |
\[6 \to 7\] | 0.033 | (1$-$0.033)$\widetilde{T}$ |
\[6 \to 13\] | 0.819 | (1$-$0.819)$\widetilde{T}$ |
\[7 \to 13\] | 0.107 | (1$-$0.107)$\widetilde{T}$ |
\[8 \to 15\] | 0.211 | (1$-$0.211)$\widetilde{T}$ |
\[16 \to 27\] | 0.707 | (1$-$0.707)$\widetilde{T}$ |
\[21 \to 25\] | 0.486 | (1$-$0.486)$\widetilde{T}$ |
\[22 \to 26\] | 0.866 | (1$-$0.866)$\widetilde{T}$ |
1 | ZIO E. Challenges in the vulnerability and risk analysis of critical infrastructures. Reliability Engineering & System Safety, 2016, 152, 137- 150. |
2 | BOCCALETTI S, LATORA V, MORENO Y, et al. Complex networks: structure and dynamics. Physics Reports, 2006, 424 (4): 175- 308. |
3 | FERRARIO E, PEDRONI N, ZIO E. Evaluation of the robustness of critical infrastructures by hierarchical graph representation, clustering and Monte Carlo simulation. Reliability Engineering & System Safety, 2016, 155, 78- 96. |
4 | Council of the Society for Risk Analysis. SRA develops glossary of risk-related terms. [2018-10-15]. http://www.sra.org/sites/default/files/pdf/SRA-glossary-approved22june2015-x.pdf. |
5 | SUTER M. Resilience and risk management: exploring the relationship and comparing its use. Zurich: Center for Security Studies, 2011. |
6 | RIGHI A W, SAURIN T A, WACHS P. A systematic literature review of resilience engineering: research areas and a research agenda proposal. Reliability Engineering & System Safety, 2015, 141, 142- 152. |
7 | CUTTER S L, AHEARN J A, AMADEI B, et al. Disaster resilience: a national imperative. Environment Science & Policy for Sustainable Development, 2013, 55 (2): 25- 29. |
8 |
GANIN A A, MASSARO E, GUTFRAIND A, et al. Operational resilience: concepts, design and analysis. Scientific Reports, 2016.
doi: 10.1038/srep19540 |
9 | LINKOV I, BRIDGES T, CREUTZIG F, et al. Changing the resilience paradigm. Nature Climate Change, 2015, 4 (6): 407- 409. |
10 | HOSSEINI S, BARKER K, RAMIREZ-MARQUEZ J E. A review of definitions and measures of system resilience. Reliability Engineering & System Safety, 2016, 145, 47- 61. |
11 |
GAO J X, BARZEL B, BARABÁSI A L. Universal resilience patterns in complex networks. Nature, 2016, 530 (7590): 307- 312.
doi: 10.1038/nature16948 |
12 | ZHANG X G, MAHADEVAN S S, SANKARARAMAN S, et al. Resilience-based network design under uncertainty. Reliability Engineering & System Safety, 2018, 169, 364- 379. |
13 | REGGIANI A. Network resilience for transport security: some methodological considerations. Transport Policy, 2013, 28 (7): 63- 68. |
14 | BHAVATHRATHAN B K, PATIL G R. Quantifying resilience using a unique critical cost on road networks subject to recurring capacity disruptions. Transportmetrica, 2015, 11 (9): 836- 855. |
15 | WHITSON J C, RAMIREZ-MARQUEZ J E. Resiliency as a component importance measure in network reliability. Reliability Engineering & System Safety, 2009, 94 (10): 1685- 1693. |
16 | NATVIG B, HUSEBY A B, REISTADBAKK M O. Measures of component importance in repairable multistate systemsa numerical study. Reliability Engineering & System Safety, 2011, 96 (12): 1680- 1690. |
17 |
ROSE A. Economic resilience to natural and man-made disasters: multidisciplinary origins and contextual dimensions. Environmental Hazards, 2007, 7 (4): 383- 398.
doi: 10.1016/j.envhaz.2007.10.001 |
18 | ROSE A. Defining and measuring economic resilience to disasters. Disaster Prevention & Management, 2004, 13 (4): 307- 314. |
19 | BARKER K, RAMIREZ-MARQUEZ J E, ROCCO C M. Resilience-based network component importance measures. Reliability Engineering & System Safety, 2013, 117 (2): 89- 97. |
20 |
BAROUD H, RAMIREZ-MARQUEZ J E, BARKER K, et al. Stochastic measures of network resilience: applications to waterway commodity flows. Risk Analysis, 2014, 34 (7): 1317- 1335.
doi: 10.1111/risa.12175 |
21 |
FANG Y P, PEDRONI N, ZIO E. Resilience-based component importance measures for critical infrastructure network systems. IEEE Trans. on Reliability, 2016, 65 (2): 502- 512.
doi: 10.1109/TR.2016.2521761 |
22 |
MARSEGUERRA M, ZIO E, PODOFILLINI L, et al. Optimal design of reliable network systems in presence of uncertainty. IEEE Trans. on Reliability, 2005, 54 (2): 243- 253.
doi: 10.1109/TR.2005.847279 |
23 |
WU B, YAN X P, WANG Y, et al. An evidential reasoningbased CREAM to human reliability analysis in maritime accident process. Risk Analysis, 2017, 37 (10): 1936- 1957.
doi: 10.1111/risa.12757 |
24 |
ERIC D V, MARK A T, NATHANAEL J K. Optimal recovery sequencing for enhanced resilience and service restoratioin in transportation networks. International Journal of Critical Infrastructures, 2014, 10 (3/4): 218- 246.
doi: 10.1504/IJCIS.2014.066356 |
25 | HENRY D, RAMIREZ-MARQUEZ J E. Generic metrics and quantitative approaches for system resilience as a function of time. Reliability Engineering & System Safety, 2012, 99, 114- 122. |
26 |
LU C C, ZHOU X, ZHANG K. Dynamic origin-destination demand flow estimation under congested traffic conditions. Transportation Research Part C: Emerging Technologies, 2013, 34, 16- 37.
doi: 10.1016/j.trc.2013.05.006 |
27 | PANT R, BARKER K, ZOBEL C W. Static and dynamic metrics of economic resilience for interdependent infrastructure and industry sectors. Reliability Engineering & System Safety, 2014, 125 (5): 92- 102. |
28 | ZIO E, PODOFILLINI L. Importance measures and genetic algorithms for designing a risk-informed optimally balanced system. Reliability Engineering & System Safety, 2007, 92 (10): 1435- 1447. |
29 | ZIEGEL E R. System reliability theory: models, statistical methods, and applications. Technometrics, 2003, 46 (4): 495- 496. |
30 |
KUO W, ZHU X. Some recent advances on importance measures in reliability. IEEE Trans. on Reliability, 2012, 61 (2): 344- 360.
doi: 10.1109/TR.2012.2194196 |
31 | BORGONOVO E. Differential, criticality and Birnbaum importance measures: an application to basic event, groups and SSCs in event trees and binary decision diagrams. Reliability Engineering & System Safety, 2007, 92 (10): 1458- 1467. |
32 | MENG F C. Relationships of Fussell-Vesely and Birnbaum importance to structural importance in coherent systems. Reliability Engineering & System Safety, 2000, 67 (1): 55- 60. |
[1] | Tianpei ZU, Rui KANG, Meilin WEN. Graduation formula: a new method to construct belief reliability distribution under epistemic uncertainty [J]. Journal of Systems Engineering and Electronics, 2020, 31(3): 626-633. |
[2] | Zhigang Zou, Fuxian Liu, Shiman Sun, Lu Xia, and Chengli Fan. Ripple-effect analysis for operational architecture of air defense systems with supernetwork modeling [J]. Journal of Systems Engineering and Electronics, 2014, 25(2): 249-264. |
[3] |
Huang Tianyun.
On use of the alpha stable self-similar stochastic process to model aggregated VBR video traffic
[J]. Journal of Systems Engineering and Electronics, 2006, 17(3): 677-684.
|
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||