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Robust Design of Networks Under Risks

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 633))

Abstract

Study of network risks allows to develop insights into the methods of building robust networks, which are also critical elements of infrastructures that are of a paramount importance for the modern society. In this paper we show how the modern quantitative modeling methodologies can be employed for analysis of network risks and for design of robust networks under uncertainty. The approach is illustrated by an important problem arising in the process of building the information infrastructure for the advanced mobile data services.

We show how the portfolio theory developed in the modern finance can be used for design of robust provision network. Next, the modeling frameworks of Bayesian nets and Markov fields are used for the study of several problems fundamental for the process of service adoption such as the sensitivity of networks, the direction of improvements, and the propagation of participants’ attitudes on social networks.

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Acknowledgements

Parts of this work has benefited from the support of the IST project IST-2005-027617 SPICE (partly funded by the European Union), and of the COST Action 293 Graphs and algorithms in communication networks (GRAAL). The authors are grateful to Dr. Josip Zoric of Telenor for useful discussions and help in formulating Example 6.1.

Alexei Gaivoronski acknowledges the hospitality of the Integrated Modeling Environment Project, and the IIASA creative environment.

The authors are grateful to two anonymous referees who contributed with their comments to the improvement of the paper.

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Correspondence to A. Gaivoronski .

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Ermoliev, Y., Gaivoronski, A., Makowski, M. (2010). Robust Design of Networks Under Risks. In: Marti, K., Ermoliev, Y., Makowski, M. (eds) Coping with Uncertainty. Lecture Notes in Economics and Mathematical Systems, vol 633. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03735-1_6

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