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Spatial Separation of Molecular Conformers and Clusters

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Efficiency of even separation of parallel elements with variable contest intensity.

Kjell Hausken¹, Gregory Levitin

¹Faculty of Social Sciences, University of Stavanger, Stavanger, Norway. kjell.hausken@uis.no

Risk Analysis : an Official Publication of the Society for Risk Analysis

|July 18, 2008

Summary

This study analyzes optimal resource allocation for defending separable systems against attacks. It establishes criteria for efficient separation strategies in redundant and non-redundant systems.

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Area of Science:

Operations Research
Systems Engineering
Game Theory

Background:

Complex systems often comprise parallel elements requiring strategic defense.
Resource allocation between system separation and direct protection is a critical challenge.
Attacker-defender dynamics influence element vulnerability through contest success functions.

Purpose of the Study:

To determine criteria for efficient separation strategies in systems with and without performance redundancy.
To analyze the impact of separation on contest intensity and element vulnerability.
To evaluate damage metrics for redundant systems based on unmet demand.

Main Methods:

Game-theoretic modeling of attacker-defender interactions.
Analysis of contest success functions under varying separation intensities.
Development of efficiency criteria for different system redundancy levels (N-out-of-N, Q-out-of-N).

Main Results:

Defined separation efficiency criteria for systems lacking redundancy.
Established criteria for 1-out-of-N and Q-out-of-N systems with performance redundancy.
Considered two distinct models for expected damage in redundant systems.

Conclusions:

Optimal defense strategies depend on system redundancy and the nature of expected damage.
Separation efficiency is a key metric for safeguarding distributed systems.
The study provides a framework for resource allocation in strategic defense scenarios.