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A MIP-based approach to solve the prize-collecting local access network design problem

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  • Ljubić, Ivana
  • Putz, Peter
  • Salazar-González, Juan-José

Abstract

This paper presents a new combinatorial optimization problem that can be used to model the deployment of broadband telecommunications systems in which optical fiber cables are installed between a central office and a number of end-customers. In this capacitated network design problem the installation of optical fiber cables with sufficient capacity is required to carry the traffic from the central office to the end-customers at minimum cost. In the situation motivating this research the network does not necessarily need to connect all customers (or at least not with the best available technology). Instead, some nodes are potential customers. The aim is to select the customers to be connected to the central server and to choose the cable capacities to establish these connections. The telecom company takes the strategic decision of fixing a percentage of customers that should be served, and aims for minimizing the total cost of the network providing this minimum service. For that reason the underlying problem is called the Prize-Collecting Local Access Network Design problem (PC-LAN).

Suggested Citation

  • Ljubić, Ivana & Putz, Peter & Salazar-González, Juan-José, 2014. "A MIP-based approach to solve the prize-collecting local access network design problem," European Journal of Operational Research, Elsevier, vol. 235(3), pages 727-739.
  • Handle: RePEc:eee:ejores:v:235:y:2014:i:3:p:727-739
    DOI: 10.1016/j.ejor.2013.11.003
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    References listed on IDEAS

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    1. Kim, Youngjin & Lee, Youngho & Han, Junghee, 2011. "A splitter location-allocation problem in designing fiber optic access networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 425-435, April.
    2. F. Sibel Salman & R. Ravi & John N. Hooker, 2008. "Solving the Capacitated Local Access Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 243-254, May.
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    Cited by:

    1. Delle Donne, Diego & Alfandari, Laurent & Archetti, Claudia & Ljubić, Ivana, 2023. "Freight-on-Transit for urban last-mile deliveries: A strategic planning approach," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 53-81.
    2. Yazar, Başak & Arslan, Okan & Karaşan, Oya Ekin & Kara, Bahar Y., 2016. "Fiber optical network design problems: A case for Turkey," Omega, Elsevier, vol. 63(C), pages 23-40.

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