@article{b9262493d8794a28a6aa92c725ef826d,
title = "How do classroom-turnover times depend on lecture-hall size?",
abstract = "Academic spaces in colleges and universities span classrooms for 10 students to lecture halls that hold over 600 people. During the break between consecutive classes, students from the first class must leave and the new class must find their desks, regardless of whether the room holds 10 or 600 people. Here we address the question of how the size of large lecture halls affects classroom-turnover times, focusing on non-emergency settings. By adapting the established social-force model, we treat students as individuals who interact and move through classrooms to reach their destinations. We find that social interactions and the separation time between consecutive classes strongly influence how long it takes entering students to reach their desks, and that these effects are more pronounced in larger lecture halls. While the median time that individual students must travel increases with decreased separation time, we find that shorter separation times lead to shorter classroom-turnover times overall. This suggests that the effects of scheduling gaps and lecture-hall size on classroom dynamics depends on the perspective—individual student or whole class—that one chooses to take.",
keywords = "agent-based modeling, classroom, complex social systems, lecture-hall size, pedestrian dynamics, social force",
author = "Joseph Benson and Mariya Bessonov and Korana Burke and Simone Cassani and Ciocanel, {Maria Veronica} and Cooney, {Daniel B.} and Alexandria Volkening",
note = "Funding Information: M.-V.C. has been supported by The Ohio State University President{\textquoteright}s Postdoctoral Scholars Program and by the Mathematical Biosciences Institute (MBI) at The Ohio State University and the National Science Foundation (NSF) through grant no. DMS-1440386. D.B.C. has been supported by the NSF through grant no. DMS-1514606, by the Army Research Office through grant no. W911NF-18-1-032x5, and by the Simons Foundation through the Math + X grant awarded to University of Pennsylvania. A.V. has been supported by the NSF through grant nos. DMS-1440386 and DMS-1764421, by the Simons Foundation/SFARI under grant no. 597491-RWC, and by the MBI. This collaboration is based upon work supported by the Mathematics Research Communities of the American Mathematical Society (AMS), under NSF grant no. DMS-1641020. Our project was initiated during the 2018 MRC on Agent-based Modeling in Biological and Social Systems. We are also grateful to the AMS MRC program for supporting a follow-up collaboration visit to the Mathematical Biosciences Institute. This collaboration was also supported by the NSF under grant no. DMS-1929284 through a visit to the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the “Mathematical Models of Pedestrian Movement in Large Lecture Halls” Collaborate@ICERM program. We thank Danielle Ciesielski and Andrew Bernoff for helpful discussions at the MRC workshop, and we also thank Chad Topaz for connecting AV and KB. Publisher Copyright: {\textcopyright} 2023 the Author(s)",
year = "2023",
doi = "10.3934/mbe.2023403",
language = "English (US)",
volume = "20",
pages = "9179--9207",
journal = "Mathematical Biosciences and Engineering",
issn = "1547-1063",
publisher = "American Institute of Mathematical Sciences",
number = "5",
}