Abstract

The paper discusses business impact analysis in the context of resilient communication networks. It is based on the total (aggregated) penalty that may be paid by an operator when the services (identified with transport demands) provided are interrupted due to network failures. The level of penalty is expressed as a commonly accepted business risk measure, Value-at-Risk ($$VaR$$VaR). First, the main concern over $$VaR$$VaR, namely the theoretical lack of subadditivity, is discussed. The study shows that, in practice, disadvantages do not appear in resilient network design, and $$VaR$$VaR can be used without the need to apply more complex and less informative measures. Second, a method for calculating the upper bound of the total penalty is presented. The assessment is performed for unprotected and protected services with a broad variety of compensation policies used to translate technical loss to monetarily expressed penalty. The proposed bounds are experimentally shown to be effective in comparison with alternative calculation methods, and also in the case when some of the assumptions taken during the modelling stage are not met.

Highlights

  • Random failures, such as link cuts or hardware faults, are destructive to networks, both from a technical and business viewpoint

  • The study shows that, in practice, disadvantages do not appear in resilient network design, and VaR can be used without the need to apply more complex and less informative measures

  • Our extension presented here is considerable: (a) we have extended the set of compensation policies to the ones that are more realistic than the ones shown in [7]; (b) while [7] uses a simple model based on results elaborated in a seminal work [35], here we present a more general model based on results derived in [36]; (c) the presented numerical studies are much broader than the ones presented before

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Summary

Introduction

Random failures, such as link cuts or hardware faults, are destructive to networks, both from a technical and business viewpoint. A current practice of dealing with failures in design and management of resilient networks is based on measuring failure risk with purely technical methods. From the viewpoint of pay-offs, our results ensure: (a) effective quantification of total penalties imposed on a network operator due to failure presence, and (b) opening of a broad range of possible risk response methods based on VaR and elaborated in the financial field. The former enables an operator to save money in comparison with using a simple addition of risk measures calculated for a single service. The final section concludes our work and shows avenues for future research

Related Work
Business-Related Risk Assessment
Compensation Policies
Probabilistic Risk Measures
Concerns about Subadditivity of VaR
General Case
Unprotected Case
Generalized Markov-Based Modelling of Penalties
Dedicated Protection Case
Numerical Studies
Distributions of failure times and downtimes:
Risk measures:
Study I
Study II
Summary of the Results
Conclusions
Full Text
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