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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 4, Pages 590–602 (Mi zvmmf11961)

Computer science

Dentification of split factors in pedestrian flows modeling

M. V. Zaitseva, P. A. Tochilin

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia

Abstract: The paper is devoted to mathematical modeling of indoor pedestrian flows. The model under consideration is an analogue of the CTM transport macromodel. The current work explores the possibility of identifying split factors that were previously considered a priori given. These coefficients denote the proportions in which a flow of people is divided when moving to other rooms from the current one. We propose an identification algorithm based on interval estimates of both forward and backward reachability sets. The algorithm is illustrated with a numerical example.

Key words: pedestrian flows, linear programming, reachability set, identefication of parameters, interval estimates.

UDC: 519.711.3

Received: 25.03.2024
Revised: 13.01.2025
Accepted: 04.02.2025

DOI: 10.31857/S0044466925040135


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:4, 935–947

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© Steklov Math. Inst. of RAS, 2026