Optimal Control of Pedestrian Evacuation in a Corridor

Autor:	C. Konda Reddy, Apoorva Shende, Pushkin Kachroo, Mahendra P. Singh
Rok vydání:	2007
Předmět:	Computer Science::Multiagent Systems Mathematical optimization Continuity equation Flow (mathematics) Discretization Differential equation Control system Method of steepest descent Boundary value problem Nonlinear Sciences::Cellular Automata and Lattice Gases Optimal control Mathematics
Zdroj:	ITSC
DOI:	10.1109/itsc.2007.4357775
Popis:	The problem of optimal control of pedestrian evacuation from a corridor has been addressed. The corridor has been treated as a one dimensional link in the building network from which the pedestrians have to be evacuated. The governing flow equations are derived from the discretized continuity equation and a flow density relation for the pedestrian flow. Necessary conditions for the optimal control of these differential equations are developed using the calculus of variations method. The necessary conditions constitute a 2 point boundary value problem that has to be solved for the state, the co-state and the optimal control. Method of steepest descent is used to solve this problem. Numerical results are presented in the end for a test case.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5f59b464c58487f2f5af1be37623a0ef https://doi.org/10.1109/itsc.2007.4357775 Zobrazit plný text záznamu