- Author
-
Francis, R. L.
- Title
- Negative Exponential Solution to An Evacuation Problems. Research Report.
- Coporate
- Florida Univ., Gainesville
- Sponsor
- National Bureau of Standards, Gaithersburg, MD
- Report
-
NBS GCR 84-482; Res. Rept. No. 84-36
December 1984
19 p.
- Distribution
- Available from National Technical Information Service
- Contract
- GRANT-NB81NADA2057
- Keywords
-
building fires
|
egress
|
evacuation
|
fire models
|
fire safety
- Abstract
- We consider a building evacuation problem for which the number of people inside a lobby affects the rate at which people exit the lobby. We model the problem as a linear functional optimization problem for which the number of people exiting the lobby is to be maximized. We use duality theory to establish the optimality of a solution for which the number of people exiting as a function of time is given by a negative exponential function.