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A Hybrid Polyhedral Uncertainty Model for the Robust Network Loading Problem

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Book cover Performance Models and Risk Management in Communications Systems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 46))

Abstract

Due to the increasing importance of effective communication in today’s business, designing net- works efficiently has started to attract more attention. In this chapter, we consider the Robust Network Loading Problem (Rob-NLP), which includes private network design as a special case, an important problem in telecommunications sector. We study the problem from the view point of a com- munications service provider who wants to lease private communication lines to its customers in the most cost-efficient manner. Rather than assuming that the point-to-point communication demands are given in advance, we introduce a polyhedral demand model, which inherits the strengths of two known polyhedral demand definitions. We first develop two compact mixed integer programming for- mulations of the problem. Then we provide some experimental results for several well-known network design instances to discuss the economic and performance implications of incorporating robustness into our design efforts.

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Correspondence to Ayşegül Altın , Hande Yaman or Mustafa Ç. Pınar .

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Altın, A., Yaman, H., Pınar, M.Ç. (2011). A Hybrid Polyhedral Uncertainty Model for the Robust Network Loading Problem. In: Gülpınar, N., Harrison, P., Rüstem, B. (eds) Performance Models and Risk Management in Communications Systems. Springer Optimization and Its Applications, vol 46. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0534-5_7

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