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Single PON network design with unconstrained splitting stages

Author

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  • Gouveia, Luís
  • Lopes, Maria João
  • de Sousa, Amaro

Abstract

A Passive Optical Network (PON) is a network technology for deploying access networks based on passive optical components. In a single PON access network, the client terminals are connected to a Central Office through optical splitters and interconnecting fibers where each splitter splits in equal parts the input optical signal coming from the Central Office over its different output fibers. In this paper, we consider PON topology solutions where the splitting ratio and the number of splitting stages are not constrained to a given target design but, instead, are decided based on the cost of the solutions. We present different Integer Linear Programming formulations to model this problem and provide computational results showing that the optimal solutions can be computed for realistic problem instances. In addition, we describe how the formulations can be adapted for the traditional PON topology approaches and present computational results showing that significant cost gains are obtained with the unconstrained splitting stage approach.

Suggested Citation

  • Gouveia, Luís & Lopes, Maria João & de Sousa, Amaro, 2015. "Single PON network design with unconstrained splitting stages," European Journal of Operational Research, Elsevier, vol. 240(2), pages 361-371.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:2:p:361-371
    DOI: 10.1016/j.ejor.2014.07.006
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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. Chardy, M. & Costa, M.-C. & Faye, A. & Trampont, M., 2012. "Optimizing splitter and fiber location in a multilevel optical FTTH network," European Journal of Operational Research, Elsevier, vol. 222(3), pages 430-440.
    3. Luis Gouveia, 1995. "A 2n Constraint Formulation for the Capacitated Minimal Spanning Tree Problem," Operations Research, INFORMS, vol. 43(1), pages 130-141, February.
    4. Luís Gouveia & Pedro Moura, 2012. "Enhancing discretized formulations: the knapsack reformulation and the star reformulation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 52-74, April.
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