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An Integer Optimization Approach for Determining Building Height

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  • Martin Egozcue

    (University of Montevideo
    Norte Construcciones S.A.
    Universidad Catolica del Uruguay Sede Punta del Este)

Abstract

Building height is of crucial importance in architectural design. In this paper, we provide an integer optimization model to determine the number of stories in high-rise buildings. This model relies on the analysis of profit cash flow over time. The practical insights of our proposal are illustrated through a real-world case study involving a hypothetical development in Punta del Este, Uruguay. A sensitivity analysis of the parameters that exert a more significant impact on the optimal height is studied as well.

Suggested Citation

  • Martin Egozcue, 2024. "An Integer Optimization Approach for Determining Building Height," SN Operations Research Forum, Springer, vol. 5(3), pages 1-22, September.
    • Handle: RePEc:spr:snopef:v:5:y:2024:i:3:d:10.1007_s43069-024-00335-7
    DOI: 10.1007/s43069-024-00335-7
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    References listed on IDEAS

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    1. Ahlfeldt, Gabriel M. & Barr, Jason, 2022. "The economics of skyscrapers: A synthesis," Journal of Urban Economics, Elsevier, vol. 129(C).
    2. Willie Tan, 1999. "Construction cost and building height," Construction Management and Economics, Taylor & Francis Journals, vol. 17(2), pages 129-132.
    3. Ben-Shahar, Danny & Deng, Yongheng & Sulganik, Eyal, 2009. "Property appraisal in high-rises: A cooperative game theory approach," Journal of Housing Economics, Elsevier, vol. 18(1), pages 25-33, March.
    4. Gat, Daniel, 1995. "Optimal Development of a Building Site," The Journal of Real Estate Finance and Economics, Springer, vol. 11(1), pages 77-84, July.
    5. Borgonovo, Emanuele & Rabitti, Giovanni, 2023. "Screening: From tornado diagrams to effective dimensions," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1200-1211.
    6. Martín Egozcue & Luis Fuentes García & Ričardas Zitikis, 2023. "The Slicing Method: Determining Insensitivity Regions of Probability Weighting Functions," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1369-1402, April.
    7. Richard Meese & Nancy Wallace, 2003. "House Price Dynamics and Market Fundamentals: The Parisian Housing Market," Urban Studies, Urban Studies Journal Limited, vol. 40(5-6), pages 1027-1045, May.
    8. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
    9. Gabriel M. Ahlfeldt & Daniel P. McMillen, 2018. "Tall Buildings and Land Values: Height and Construction Cost Elasticities in Chicago, 1870–2010," The Review of Economics and Statistics, MIT Press, vol. 100(5), pages 861-875, December.
    10. Buttler, Hans-Jurgen & Beckmann, Martin J, 1980. "Design Parameters in Housing Construction and the Market for Urban Housing," Econometrica, Econometric Society, vol. 48(1), pages 201-225, January.
    11. David Picken & Ben Ilozor, 2003. "Height and construction costs of buildings in Hong Kong," Construction Management and Economics, Taylor & Francis Journals, vol. 21(2), pages 107-111.
    12. Pollard, Robert, 1980. "Topographic amenities, building height, and the supply of urban housing," Regional Science and Urban Economics, Elsevier, vol. 10(2), pages 181-199, June.
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