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The accessibility arc upgrading problem


  • Maya Duque, Pablo A.
  • Coene, Sofie
  • Goos, Peter
  • Sörensen, Kenneth
  • Spieksma, Frits


The accessibility arc upgrading problem (AAUP) is a network upgrading problem that arises in real-life decision processes such as rural network planning. In this paper, we propose a linear integer programming formulation and two solution approaches for this problem. The first approach is based on the knapsack problem and uses the knowledge gathered from an analytical study of some special cases of the AAUP. The second approach is a variable neighbourhood search with strategic oscillation. The excellent performance of both approaches is demonstrated using a large set of randomly generated instances. Finally, we stress the importance of a proper allocation of scarce resources in accessibility improvement.

Suggested Citation

  • Maya Duque, Pablo A. & Coene, Sofie & Goos, Peter & Sörensen, Kenneth & Spieksma, Frits, 2013. "The accessibility arc upgrading problem," European Journal of Operational Research, Elsevier, vol. 224(3), pages 458-465.
  • Handle: RePEc:eee:ejores:v:224:y:2013:i:3:p:458-465 DOI: 10.1016/j.ejor.2012.09.005

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    References listed on IDEAS

    1. Murawski, Lisa & Church, Richard L., 2009. "Improving accessibility to rural health services: The maximal covering network improvement problem," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 102-110, June.
    2. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
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    Cited by:

    1. Maya Duque, Pablo A. & Dolinskaya, Irina S. & Sörensen, Kenneth, 2016. "Network repair crew scheduling and routing for emergency relief distribution problem," European Journal of Operational Research, Elsevier, vol. 248(1), pages 272-285.


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