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Covering polygons with discs: The problem of crane selection and location on construction sites

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  • Briskorn, Dirk
  • Dienstknecht, Michael

Abstract

Cranes are a key element in construction projects as they are the primary lifting equipment and among the most expensive construction equipment. Thus, crane selection and location are important factors for a construction project’s operational and economic success. In this research, we focus on a site with supply and demand areas that have to be connected by tower cranes. There are several tower crane models differing in certain specifications such as costs or operating radius. The objective is to select cranes and determine their locations so that each demand area is connected to its supply area at minimum cost. We detail the problem setting and show how to obtain a discrete set of candidate locations for each crane model without losing optimality. This discretization allows us to reduce our problem to the classic set cover problem. Despite its NP-hardness, instances of considerable size can be solved to optimality within reasonable computing time using a standard solver. In an extensive computational study, we analyze the performance of the proposed approach in terms of solution quality, computation times, and drivers of computational effort.

Suggested Citation

  • Briskorn, Dirk & Dienstknecht, Michael, 2020. "Covering polygons with discs: The problem of crane selection and location on construction sites," Omega, Elsevier, vol. 97(C).
    • Handle: RePEc:eee:jomega:v:97:y:2020:i:c:s0305048319300866
    DOI: 10.1016/j.omega.2019.102114
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    References listed on IDEAS

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    1. Briskorn, Dirk & Dienstknecht, Michael, 2019. "Mixed-integer programming models for tower crane selection and positioning with respect to mutual interference," European Journal of Operational Research, Elsevier, vol. 273(1), pages 160-174.
    2. Chen Liao & Shiyan Hu, 2010. "Polynomial time approximation schemes for minimum disk cover problems," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 399-412, November.
    3. Y. Stoyan & V. Patsuk, 2010. "Covering a compact polygonal set by identical circles," Computational Optimization and Applications, Springer, vol. 46(1), pages 75-92, May.
    4. Murray, Alan T. & Wei, Ran, 2013. "A computational approach for eliminating error in the solution of the location set covering problem," European Journal of Operational Research, Elsevier, vol. 224(1), pages 52-64.
    5. Balázs Bánhelyi & Endre Palatinus & Balázs Lévai, 2015. "Optimal circle covering problems and their applications," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 815-832, December.
    6. Anil Sawhney & Andre Mund, 2001. "IntelliCranes: an integrated crane type and model selection system," Construction Management and Economics, Taylor & Francis Journals, vol. 19(2), pages 227-237.
    7. C. M. Tam & Thomas Tong, 2003. "GA-ANN model for optimizing the locations of tower crane and supply points for high-rise public housing construction," Construction Management and Economics, Taylor & Francis Journals, vol. 21(3), pages 257-266.
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    Cited by:

    1. Pelegrín, Mercedes & Xu, Liding, 2023. "Continuous covering on networks: Improved mixed integer programming formulations," Omega, Elsevier, vol. 117(C).
    2. Michael Dienstknecht, 2023. "A branch and bound approach for the tower crane selection and positioning problem with respect to mutual interference," 4OR, Springer, vol. 21(1), pages 105-123, March.

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