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Mixed-integer programming models for tower crane selection and positioning with respect to mutual interference

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  • Briskorn, Dirk
  • Dienstknecht, Michael

Abstract

Cranes have a major impact on a construction project from both an operational and an economic perspective as they are the primary lifting equipment and among the most expensive construction equipment. In this research we, thus, focus on two inter-related decisions regarding tower cranes, namely their selection and their on-site location. On a given polygonal construction site, there are given polygonal supply and demand areas that have to be connected by tower cranes with given specifications such as operating radius, operating height and costs. Cranes have to be selected and their on-site locations have to be determined so that each demand area is connected to its supply area. The objective is to minimize overall cost. When locating cranes, infeasible areas, minimum distances between cranes and obstacles limiting the cranes’ slewing ranges, e.g. other cranes or existing structures, have to be respected. We provide a formal problem definition, analyze its computational complexity, and develop four different mixed-integer programming models. Finally, an extensive computational study investigates the performance of standard solver CPLEX using the model formulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:1:p:160-174
    DOI: 10.1016/j.ejor.2018.07.033
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    References listed on IDEAS

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    1. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
    2. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    3. Sayah, David & Irnich, Stefan, 2017. "A new compact formulation for the discrete p-dispersion problem," European Journal of Operational Research, Elsevier, vol. 256(1), pages 62-67.
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    1. Hagspihl, Thomas & Kolisch, Rainer & Fontaine, Pirmin & Schiffels, Sebastian, 2024. "Apron layout planning–Optimal positioning of aircraft stands," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    2. Briskorn, Dirk & Dienstknecht, Michael, 2020. "Covering polygons with discs: The problem of crane selection and location on construction sites," Omega, Elsevier, vol. 97(C).
    3. Matjaž Hozjan & Uroš Klanšek, 2023. "Optimal Positioning of Mobile Cranes on Construction Sites Using Nonlinear Programming with Discontinuous Derivatives," Sustainability, MDPI, vol. 15(24), pages 1-19, December.
    4. 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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