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Exact Approaches for Network Design Problems with Relays

Author

Listed:
  • Markus Leitner

    (Department of Statistics and Operations Research, University of Vienna, 1010 Vienna, Austria)

  • Ivana Ljubić

    (ESSEC Business School of Paris, 95021 Cergy-Pontoise, France)

  • Martin Riedler

    (Institute of Logic and Computation, TU Wien, 1040 Vienna, Austria)

  • Mario Ruthmair

    (Department of Statistics and Operations Research, University of Vienna, 1010 Vienna, Austria)

Abstract

In this article we consider the network design problem with relays (NDPR), which gives answers to some important strategic design questions in telecommunication network design. Given a family of origin-destination pairs and a set of existing links these questions are as follows: (1) What are the optimal locations for signal regeneration devices (relays) and how many of them are needed? (2) Could the available infrastructure be enhanced by installing additional links in order to reduce the travel distance and therefore reduce the number of necessary relays? In contrast to previous work on the NDPR, which mainly focused on heuristic approaches, we discuss exact methods based on different mixed-integer linear programming formulations for the problem. We develop branch-and-price and branch-price-and-cut algorithms that build upon models with an exponential number of variables (and constraints). In an extensive computational study, we analyze the performance of these approaches for instances that reflect different real-world settings. Finally, we also point out the relevance of the NDPR in the context of electric mobility.

Suggested Citation

  • Markus Leitner & Ivana Ljubić & Martin Riedler & Mario Ruthmair, 2019. "Exact Approaches for Network Design Problems with Relays," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 171-192, February.
    • Handle: RePEc:inm:orijoc:v:31:y:2019:i:1:p:171-192
    DOI: 10.1287/ijoc.2018.0820
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