20.500.12556/DKUM-86586 Optimal positioning of mobile cranes on construction sites using nonlinear programming with discontinuous derivatives Mobile cranes represent conventional construction machinery that is indispensable for the erection of most prefabricated buildings, especially those containing heavy components. However, it is also common knowledge that the engagement of these machines has a significant influence on the environment, various social aspects of the construction process, and its economic benefits. Optimal positioning of the mobile crane on the construction site, primarily driven by the contractor’s interest to perform assembly operations with expensive machinery as effectively as possible, considerably reduces not only the costs of engaging such a machine but indirectly also its negative impacts on construction sustainability. This paper discusses an exact nonlinear model for the optimization task. The optimization model consists of a cost objective function that is subject to various duration and positioning constraints for the mobile crane, including bounds on its degrees of freedom of movement and stop positions. Because the model formulation includes discontinuous and non-smooth expressions, nonlinear programming with discontinuous derivatives (DNLP) was employed to ensure the optimal solution was reached. The model provides the mobile crane operator with exact key information that enables the complete and optimal assembly of the building structure under consideration. Additionally, the information gained on the optimal distribution of the mobile crane rental period to assembly operations allows for a detailed duration analysis of the entire process of building structure erection, which can be used for its further improvement. An application example is given in this study to demonstrate the advantages of the proposed approach. construction sustainability mobile crane nonlinear programming with discontinuous derivatives optimization positioning trajnost gradnje mobilno dvigalo žerjavi nelinearno programiranje z diskontinuiranimi izpeljankami optimizacija pozicioniranje true false true https://www.mdpi.com/ Angleški jezik Slovenski jezik https://www.mdpi.com/journal/sustainability Članek v reviji 2023-12-18 14:33:47 2023-12-18 14:33:48 2024-04-15 12:57:18 0000-00-00 00:00:00 2023 0 2023 19 str. iss. 24, [article no.] 16889 Vol. 15 Dec. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-11-06 2023-12-06 2023-12-15 69.057.7:621.873 177981443 10.3390/su152416889 2071-1050 sustainability-15-16889.pdf sustainability-15-16889.pdf 1 0003488E4B157861BFF547EB912BA4B5 3e16d205d7e4724bf8f46a32830f7eaef9bedd23552471608895f19ba802d91d a73692bf-9daa-11ee-804c-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=174917 https://www.mdpi.com/2071-1050/15/24/16889 0 ef807c7b-9dae-11ee-804c-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=174918 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0