One or More Topologies ?One or More Topologies ?A methodological reflection

IRRIIS Project, WP2.1 “Topology Analysis”

Rome Meeting , 6,7 April 2006

IST Project N° 027568

Adam Maria Gadomski, ENEA

High-Intelligence & Decision research Grouphttp:erg4146.casaccia.enea.it

Project Topology (?)

Task 2.1.1Topology data collection and modelling

Task 2.1.2Improved models of cascade failures

Task 2.2.1Taxonomy of interdependencies

Task 1.4.1MIT requirements

Task 2.3.1Syntex fuctional definition

Task 2.3.2SYNTEX framework

We are We are here.here.

IRRIISIRRIISGoalsGoals

The expected results for IRRIIS within the topology analysis Work Package 2.1 are:The identification of appropriate degrees of abstraction from LCCIs into graphs. This leads to a comparable modelling framework for the overall IRRIIS project and is also applicable on a general level.

Choice of an appropriate high-level abstraction of the system is essential, andimpacts both the quality of the analysis, as well as its computational complexity. A thoroughanalysis of LCCIs with regard to their topological features such as connectivity, centrality,modularity, 2. Study and selection of a critical set of measures (observables), …Therewith a reduction of the overall complexity for the modellingDevelopment of a set of aggregated high level models…- Granular, as the observables can be studied at different scales/dimensions.

We need some Abstraction - generalization levels

what but not how – it is impossible to use only one abstraction level

…

TWO ESSENTIAL PROBLEMS

Problem 1 LCCIs LCCIs network network MODELMODEL

IRRIISIRRIISGoalsGoals

…

Problem 2What topology or topologies are necessary ? It refers to the topology and Abstraction interrelation.

Necessary requirements How to form them?

The aim of this contribution is to create a methodological reflection on and to suggest some conceptualization framework for  the topology problem.Topology Analysis results have to serve for the “identification of vulnerabilities of an abstract/generalized  whole LCCI and LCCIs network" , from different perspectives.

PROBLEM 1: SYSTEM - GOAL RELATION

LCCI LCCI SystemSystem

Basic relation

(Safety goal)

LCCI LCCI GoalGoal

Processes FunctionsFunctionsSystemSystem GoalGoal

Critical definitions:

Function, F - is a necessary, goal-oriented property of an artificial system. Process, P - is an identifiable or designed carrier of a function. System, S - is a carrier of processesGoal, G - is a required state/property of the couple (System, Environment)

ESSENTIAL ARE RELATIONS BETWEEN THEM.

complex

Suggested decomposition (SPG Approach, 1986-8, Gadomski)

Decomposition of System - Goal Relation

FP GS

carrier relation ( it is opposite to the property relation)

cause-consequence relation (necessary for)

One function can be realized by different processes.

One process can be a carrier of different functions.

Every artificial system specification can be presented as 4 graph layers. This paradigm enables a structuring of specific information and knowledge about a human -technological systems and LCCIs.

Generalization levels (abstraction/specialization)

Every object from one layer can be decomposed in a subsequent lower layer.

SPG approach

Attention: From users and vulnerability perspectives most essential is availability of functions.

Vulnerability Sources & propagation

FP GS

carrier relation ( it is opposite to the property relation)

cause-consequence relation (necessary for)

Attention: From developers perspectives most essential is observability of processes.

Abnormal events internal and external

Measurements Loss of functions

Every process and system are properties described by variables and parameters. (= attributes)

They are data.

Definition:

Data – everything what is/will/can be processed mentally or by a computer.

Owner developers operators managers society

Polit-econ dec.

Economy

Problem 2: TOPOLOGY

Topology is a theory focused on the properties of spatial forms and their transformations which maintains invariant some their specific attributes.

Graphs are most synthetic/abstract forms which maintain these invariants.

An example:

Topological equivalence:

Topology does not enable to decompose arcs ( interrelations)

Conclusion:

Specialization/decomposition requires:

Topology A Topology B

Here, nodes are arbitrarily distinguished.

TOPOLOGIES: TOP-DOWN IDENTIFICATION

Different perspectives, ie different goals of a system, require different topologies strings.

General remark: IRRIIS is a research project.

Lack of topological equivalence in two topological specifications

FP GS

Allocation of Vulnerabilities to Network Topologies

We need DATA for

Meta-topological Framework

[TOGA, 1993]

We have 3 subject layers:

Physical, Cyber, Organization layers.

Here, every box represents a real or abstract topology.

Basic rules which define problem-solver perspective:

Top-down Object-based Goal-oriented

Methodological Framework

Conceptualization layers

Specification Direction Identification Direction

Goal Function Process System

G F P S

Physical Layer

Information Layer

Intelligence Layer

Generalization levels

Subject Layers

Problem Recognition

Specialization Direction

Data acquisition (information, knowledge acquisition)

Information & Knowledge not ordered or ordered for other purposes.

MULTI-GOAL DOMAIN AND INTRADEPENDENCES

Thanks

S G

S G S G

S G

LCCI

SyntexMIT

IRRIIS

Example: DESIGN FRAMEWORK

(Abstract Managerial Intelligence)

Based on SPG Approach.

Process

From the ENEA’s Tech. Proposals of the EU Project EIDA,1996 & EMIR 2004

Infrastructure Simulation Game System

World Editor

World Simulator

IntelI.Infrast.Kernel

Human Supervisor or Manager

“Absolute Observer” (designer)

Interface

Servicies Units

Communication

Interface

Communication

Servicies Functional Units Intelligent Infrastructure

Top view of the Infrastructure Simulation Game System

Copyright High-Intelligence & Decision Research Group, CAMO, ENEA , http://erg4146.casaccia.enea.it Adam M. Gadomski, 23/06/2005