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The accessibility arc upgrading problem

Author

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  • DUQUE, Pablo A. Maya
  • COENE, Sofie
  • GOOS, Peter
  • SÖRENSEN, Kenneth
  • SPIEKSMA, Frits

Abstract

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 validated using a large set of random generated instances. Finally, we stress the importance of a proper allocation of scarce resources in accessibility improvement.

Suggested Citation

  • DUQUE, Pablo A. Maya & COENE, Sofie & GOOS, Peter & SÖRENSEN, Kenneth & SPIEKSMA, Frits, 2012. "The accessibility arc upgrading problem," Working Papers 2012009, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2012009
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    References listed on IDEAS

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    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.
    3. Bruno F. Santos & António P. Antunes & Eric J. Miller, 2010. "Interurban road network planning model with accessibility and robustness objectives," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(3), pages 297-313, February.
    4. Sven O. Krumke & Madhav V. Marathe & Hartmut Noltemeier & R. Ravi & S. S. Ravi, 1998. "Approximation Algorithms for Certain Network Improvement Problems," Journal of Combinatorial Optimization, Springer, vol. 2(3), pages 257-288, September.
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    1. Sakineh Lakzaei & Donya Rahmani & Babak Mohamadpour Tosarkani & Sepideh Nasiri, 2023. "Integrated optimal scheduling and routing of repair crew and relief vehicles after disaster: a novel hybrid solution approach," Annals of Operations Research, Springer, vol. 328(2), pages 1495-1522, September.
    2. Yücel, E. & Salman, F.S. & Arsik, I., 2018. "Improving post-disaster road network accessibility by strengthening links against failures," European Journal of Operational Research, Elsevier, vol. 269(2), pages 406-422.
    3. Shuanglin Li & Kok Lay Teo, 2019. "Post-disaster multi-period road network repair: work scheduling and relief logistics optimization," Annals of Operations Research, Springer, vol. 283(1), pages 1345-1385, December.
    4. Lazar Mrkela & Zorica Stanimirović, 2022. "A variable neighborhood search for the budget-constrained maximal covering location problem with customer preference ordering," Operational Research, Springer, vol. 22(5), pages 5913-5951, November.
    5. Michael Holzhauser & Sven O. Krumke & Clemens Thielen, 2016. "Budget-constrained minimum cost flows," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1720-1745, May.
    6. 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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    Keywords

    Network upgrading problem; Knapsack problem; Variable neighbourhood search;
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