20.500.12556/RUL-146464 Differential Evolution Based Numerical Variable Speed Limit Control Method with a Non-Equilibrium Traffic Model This paper introduces a numerical variable speed limit (VSL) control method on a motorway, modeled by the system of partial differential equations (PDEs) of a non- equilibrium continuum traffic model. The method consists of a macroscopic simulation (i.e., numerical solution of the system of PDEs of the continuum model), introduction of the solution-based cost function and numerical optimization with a differential evolution algorithm (DE). Due to the numerical solution scheme, the method enables application of a wide range of continuum traffic models without prior discretization of PDEs. In this way, the method overcomes the limitations of the basic continuum models and represents a step towards more accurate traffic modelling in control strategies. In this paper, we determine optimal variable speed limits with the DE algorithm on a motorway section modeled by the modified switching curve model, which is a non-equilibrium continuum model consistent with the three-phase traffic flow theory. The effectiveness of the determined variable speed limits is validated using microsimulations of the test section, which show promising reductions of queue lengths and number of stops. differential evolution optimal control numerical method continuum traffic flow model variable speed limit diferencialna evolucija optimalna kontrola numerična metoda kontinuitetni model prometnega toka spremenljive omejitve hitrosti true false true Angleški jezik Slovenski jezik Članek v reviji 2023-06-02 09:14:20 2023-06-02 09:14:24 2023-07-17 11:56:44 0000-00-00 00:00:00 2023 0 0 17 str. iss. 2, art. 265 Vol. 11 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 656.1 2227-7390 10.3390/math11020265 137155587 mathematics-11-00265-v2.pdf mathematics-11-00265-v2.pdf 1 6346FC00728CA03134A66A8B13D6318C 5df423f82772abdd7a0d44d11f8b0ae6ea873bc361bdaba8b94be9e5619d1730 17b18745-0115-11ee-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=169661 https://www.mdpi.com/2227-7390/11/2/265 1 cafec7a9-0114-11ee-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=169660 Fakulteta za gradbeništvo in geodezijo 0 0 0