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A Hybrid Polyhedral Uncertainty Model for the Robust Network Loading Problem

In: Performance Models and Risk Management in Communications Systems

Author

Listed:
  • Ayşegül Altın

    (TOBB University of Economics and Technology)

  • Hande Yaman

    (Bilkent University)

  • Mustafa Ç. Pınar

    (Bilkent University)

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.

Suggested Citation

  • Ayşegül Altın & Hande Yaman & Mustafa Ç. Pınar, 2011. "A Hybrid Polyhedral Uncertainty Model for the Robust Network Loading Problem," Springer Optimization and Its Applications, in: Nalân Gülpınar & Peter Harrison & Berç Rüstem (ed.), Performance Models and Risk Management in Communications Systems, pages 157-172, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0534-5_7
    DOI: 10.1007/978-1-4419-0534-5_7
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    Cited by:

    1. Mahmutoğulları, Özlem & Yaman, Hande, 2023. "Robust alternative fuel refueling station location problem with routing under decision-dependent flow uncertainty," European Journal of Operational Research, Elsevier, vol. 306(1), pages 173-188.

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