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Chapter 2 Application of the Multigrammatical Framework to the Assessment of Resilience and Recoverability of Large – Scale Industrial Systems

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Resilience in the Digital Age

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12660))

Abstract

The present paper is dedicated to assessing the resilience and the possibility of recovery and support of large-scale industrial systems (ISs) affected by destructive impacts such as natural hazards, technogenic catastrophes, acts of terror, pandemics, mutual sanctions, etc. The proposed approach to these problems is based on the application of the multigrammatical framework that provides a natural and flexible representation of the technological and resource bases of ISs as well as their transformations after impacts. We introduce a general criteria for the resilience, recoverability, and supportability of the affected industrial system by other external IS with it’s own technological and resource bases.

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Abbreviations

AIS :

Assigned industrial system

BC :

Boundary condition

CF :

Context-free

CI :

Critical infrastructure

DSTS :

Distributed sociotechnological system

EIS :

External industrial system

FIS :

Free industrial system

FMG :

Filtering multiset grammar

FUMG :

Filtering unitary multiset grammar

STS :

Sociotechnological system

IS :

Industrial system

LSTS :

Local sociotechnological system

MG :

Multiset grammar

MO :

Multiobject

MS :

Multiset

OC :

Optimizing condition

OR :

Object-resource

RB :

Resource base

SMS :

Set of multisets

STMS :

Set of terminal multisets

TB :

Technological base

TMS :

Terminal multiset

UMG :

Unitary multiset grammar

UMG RG :

Unitary multiset grammar with reduced generation

UR :

Unitary rules

References

  1. Alcaraz, C., Zeadally, S.: Critical infrastructure protection: requirements and challenges for the 21st century. Int. J. Critical Infrastruct. Prot. 8, 53–66 (2015). https://doi.org/10.1016/j.ijcip.2014.12.002

    ArticleΒ  Google ScholarΒ 

  2. Rinaldi, S., Peerenboom, J.P., Kelly, T.K.: Identifying, understanding, and analyzing critical infrastructure interdependencies. IEEE Control Syst. Mag. 21, 11–25 (2001). https://doi.org/10.1109/37.960131

    ArticleΒ  Google ScholarΒ 

  3. Vespignani, A.: Complex networks: the fragility of interdependency. Nature 464, 984–985 (2010). https://doi.org/10.1038/464984a

    ArticleΒ  Google ScholarΒ 

  4. Rehak, D., Senovsky, P., Hromada, M., Lovecek, T., Novotny, P.: Cascading impact assessment in a critical infrastructure system. Int. J. Crit. Infrastruct. Prot. 22, 125–138 (2018). https://doi.org/10.1016/j.ijcip.2018.06.004

    ArticleΒ  Google ScholarΒ 

  5. Li, H., Rosenwald, G.W., Jung, J., Liu, C.-C.: Strategic power infrastructure defense. Proc. IEEE 93(5), 918–933 (2005). https://doi.org/10.1109/JPROC.2005.847260

    ArticleΒ  Google ScholarΒ 

  6. Katay, M.E.: Electric power industry as critical infrastructure. Network World, 6 September 2010. https://www.networkworld.com/article/2217677/data-center/electric-power-industry-as-critical-infrastructure.html

  7. Liu, K., Wang, M., Zhu, W., Wu, J., Yan, X.: Vulnerability analysis of an urban gas pipeline network considering pipeline-road dependency. Int. J. Crit. Infrastruct. Prot. 22, 125–138 (2018). https://doi.org/10.1016/j.ijcip.2018.08.008

    ArticleΒ  Google ScholarΒ 

  8. Kurian, M., McCarney, P. (eds.): Peri-urban Water and Sanitation Services. Policy, Planning and Method, p. 300. Springer, New York (2010). https://doi.org/10.1107/978-90-481-9425-4_11.

  9. Stergiopoulos, G., Kotzanikolaou, P., Theocharidou, M., Lykou, G., Gritzalis, D.: Time-based critical infrastructure dependency analysis for large-scale and cross-sectoral failures. Int. J. Crit. Infrast. Prot. 12, 46–60 (2016). https://doi.org/10.1016/j.ijcip.2015.12.002

    ArticleΒ  Google ScholarΒ 

  10. Cavdaregla, B., Hammel, E., Mitchell, J.E., Sharkey, T.C., Wallace, W.A.: Integrating restoration and scheduling decisions for disrupted interdependent infrastructure systems. Ann. Oper. Res. 203, 279–294 (2013). https://doi.org/10.1007/S10479-011-0959-3

    ArticleΒ  MathSciNetΒ  MATHΒ  Google ScholarΒ 

  11. Nepal, R., Jamasb, T.: Security of European electricity systems: conceptualizing the assessment criteria and core indicators. Int. J. Crit. Infrastruct. Prot. b(3–4), 182–196 (2013). https://doi.org/10.1016/j.i.cip.2013.07.001

    ArticleΒ  Google ScholarΒ 

  12. Larsen, E.R., Osorio, S., van Ackere, A.: A framework to evaluate security of supply in the electricity sector. Renew. Sustain. Energy Rev. 79, 646–655 (2017). https://doi.org/10.1016/j.rser.2017.05.085

    ArticleΒ  Google ScholarΒ 

  13. Rechak, D., Senovsky, P., Hromada, M., Lovecek, T.: Complex approach to assessing resilience of criterial infrastructure elements. Int. J. Crit. Infrastruct. Prot. 25(2), 125–138 (2019). https://doi.org/10.1016/i.ijcip.2019.03.003

    ArticleΒ  Google ScholarΒ 

  14. Eusqeld, I., Nan, C., Dietz, S.: β€œSystem–of–systems” approach for interdependent critical infrastructures. Reliab. Eng. Syst. Saf. 96(6), 679–686 (2011). https://doi.org/10.1016/j.ress.2010.12.010

    ArticleΒ  Google ScholarΒ 

  15. He, X., Cha, E.J.: Modeling the damage and recovery of interdependent critical infrastructure systems from natural hazards. Reliab. Eng. Syst. Saf. 177, 162–175 (2018). https://doi.org/10.1016/j.ress.2018.04.029

    ArticleΒ  Google ScholarΒ 

  16. Gvishiani, A.D., Roberts, F.S., Sheremet, I.A.: On the assessment of sustainability of distributed sociotechnical systems to natural disasters. Russ. J. Earth Sci. 18, ES4004 (2018). https://doi.org/10.2205/2018ES000627

    ArticleΒ  Google ScholarΒ 

  17. Sheremet, I.A.: Multiset analysis of consequences of natural disasters impacts on large-scale industrial systems. Data Sci. J. 17(4), 1–17. https://doi.org/10.5334/dsj-2018-004

  18. Sheremet, I.: Multiset-based assessment of resilience of sociotechnological systems to natural hazards. In: Tiefenbacher, J. (ed.) Natural Hazards - Risks, Exposure, Response, and Resilience. IntechOpen (2019). https://doi.org/10.5772/intechopen.83508, https://www.intechopen.com/online-first/multiset-based-assessment-of-resilience-of-sociotechnological-systems-to-natural-hazards

  19. Sheremet, I.: Multiset-based knowledge representation for the assessment and optimization of large-scale sociotechnical systems. In: Vizureanu, P. (ed.) Enhanced Expert Systems. IntechOpen, London (2019). https://doi.org/10.5772/intechopen.81698 https://www.intechopen.com/books/enhanced-expert-systems/multiset-based-knowledge-representation-for-the-assessment-and-optimization-of-large-scale-sociotech

  20. Sheremet, I.: Unitary multiset grammars and metagrammars algorithmics and applications. In: Vizureanu, P. (ed.) Enhanced Expert Systems. IntechOpen, London (2019). https://doi.org/10.5772/intechopen.82713 https://www.intechopen.com/books/enhanced-expert-systems/unitary-multiset-grammars-an-metagrammars-algorithmics-and-application

  21. Sheremet, I.A.: Recursive Multisets and their Applications, p. 292. Nauka, Moscow (2010). (in Russian)

    Google ScholarΒ 

  22. Sheremet, I.A.: Recursive Multisets and their Applications, p. 249. NG Verlag, Berlin (2011)

    Google ScholarΒ 

  23. Petrovskiy, A.B.: Spaces of Sets and Multisets, p. 248. URSS, Moscow (2003). (in Russia)

    Google ScholarΒ 

  24. Petrovskiy, A.B.: Theory of Measured Sets and Multisets, p. 360. Science, Moscow (2018). (in Russia)

    Google ScholarΒ 

  25. Date, C.I.: An Introduction to Database Systems, 8th edn., p. 247. Pearson, London (2012)

    Google ScholarΒ 

  26. Darwen, H.: An Introduction to Relational Database Theory, p. 239. bookboon.com, London (2012)

    Google ScholarΒ 

  27. Chomsky, N.: Syntactic Structures, p. 118. The Hague: Mouton de Gruyter (2002)

    Google ScholarΒ 

  28. Apt, K.: Principles of Constraint Programming, p. 420. Cambridge University Press, Cambridge (2003)

    Google ScholarΒ 

  29. Bratko, I.: Prolog Programming for Artificial Intelligence, p. 696. Wesley, New York (2012)

    Google ScholarΒ 

  30. Hillier, S.F., Lieberman, G.J.: Introduction to Operations Research, p. 696. McGraw Hill, Boston (2014)

    Google ScholarΒ 

  31. Taha, H.A.: Operations Research: An Introduction, p. 838. Pearson, London (2016)

    Google ScholarΒ 

  32. Marx, K.: Capital. A Critique of Political Economy, vol. 1, p. 549. www.marxists.org

  33. Bjerkholt, O., Kurz, H.D.: Introduction: the history of input–output analysis, Leontief’s path and alternative tracks. Econ. Syst. Res. 18(4), 391–333 (2006)

    ArticleΒ  Google ScholarΒ 

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Acknowledgments

The author is grateful to Prof. Fred Roberts for his useful advice and support, to Prof. Javier Rubio-Herrero for his thorough and careful editing of this paper, and to Prof. Alexey Gvishiani for his permanent collaboration.

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Correspondence to Igor A. Sheremet .

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Sheremet, I.A. (2021). Chapter 2 Application of the Multigrammatical Framework to the Assessment of Resilience and Recoverability of Large – Scale Industrial Systems. In: Roberts, F.S., Sheremet, I.A. (eds) Resilience in the Digital Age. Lecture Notes in Computer Science(), vol 12660. Springer, Cham. https://doi.org/10.1007/978-3-030-70370-7_2

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  • DOI: https://doi.org/10.1007/978-3-030-70370-7_2

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