Multiset-Based Assessment of Resilience of Sociotechnological Systems to Natural Hazards

Abstract

The chapter describes multiset-based approach to the assessment of resilience/ vulnerability of the distributed sociotechnological systems (DSTS) to natural hazards (NH). DSTS contain highly interconnected and intersected consuming and producing segments, and also resource base (RB), providing their existence and operation. NH impacts may destroy some local elements of these segments, as well as some parts of RB, thus initiating multiple chain effects, leading to negative consequences far away from the NH local strikes. To assess DSTS resilience to such impacts, multigrammatical representation of DSTS is used. A criterion of DSTS sustainability to NH, being generalization of similar criterion, known for industrial (producing) systems, is proposed. Application of this criterion to critical infrastructures is considered, as well as solution of the reverse problem, concerning subsystems of DSTS, which may stay functional after NH impact.

Resource-based games

“…So multiobjects used in rules are as • ( , , ). Such techniques, proposed in [19], was applied in [20], dedicated to the assessment of resilience of critical infrastructures to the destructive impacts, multiplied by cascading (chain) effects.…”

“…Consider = ⟨ 0 , , ⟩, where 0 and are the same, as in the Example 5, and filter = {(eur) > 7, (rur) = min}, that means ̅ would include collections, created by all possible chains of currency exchange, that contain more than 7 euros, and minimal sum of rubles. According to (9), (18) - (20) and (26), STMS, generated by application of FMG , would contain, at least, multiset {9 ⋅ (eur), 1 ⋅ (usd)}, because it includes multiobject 9 ⋅ (eur) satisfying boundary condition (eur) > 7, as well as MO 0 ⋅ (rur) with absolutely minimal multiplicity 0, thus satisfying optimizing condition (rur) = min. (Remind, that (rur) ∉ is equivalent to 0 ⋅ (rur) ∈ ).∎ As may be seen, generation of set of terminal multisets by application of filtering multiset grammar is nothing but knowledge-and goal-driven computation.…”

“…In order to integrate best features of both GT-and MAT-centered technologies of modelling resource-based conflicts, a new approach to representation and solution of such conflicts is proposed in this article. Its basic notion is "resource-based game" (RBG), and its mathematical background is theory of recursive multisets, which basic mathematical toolkit are multiset grammars (MG) [17,18,19,20,21,22]. This toolkit is result of deep integration in one multiset-based formalism key advantages of classical operations research (strict mathematical definition and correct algorithmic availability of provably optimal solutions) and modern knowledge engineering (generality, simplicity and flexibility of problems representation).…”

Multi-Agent Implementation of Filtering Multiset Grammars

“…Filtering multiset grammars (FMG) were developed as a result of multiset-based deep integration and convergence of classical mathematical programming and modern knowledge engineering for compact, flexible and natural representation of wide spectrum of combinatorial problems and their solution by application of unified algorithmics [1][2][3][4][5][6].…”

Multiset-based assessment of vulnerability of energy infrastructures to destructive impacts

“…The multigrammatical framework (MGF), introduced and described in [1][2][3][4][5][6][7], is a set of syntactically, semantically and pragmatically interconnected multiset-based knowledge representation models (KRMs) and associated with them algorithmics and implementation techniques, developed and applied to various problems from the systems analysis and operations research areas. The MGF integrates the best features of modern knowledge engineeringfirst of all, logic and constraint programming [8][9][10][11][12][13], providing easy and natural accumulation of knowledge bases (KBs) from atomary implications and not less easy and natural KBs' updateand classical theory of optimization -namely, mathematical programming with it's refined algorithmics providing fast search of strictly optimal solutions [14][15][16][17].…”