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Author
Kostreva, M. M. | Wiecek, M. M. | Getachew, T.
Title
Optimization Models in Fire Egress Analysis for Residential Buildings.
Coporate
Clemson Univ., SC
Sponsor
National Institute of Standards and Technology, Gaithersburg, MD
Contract
NIST-GRANT-60NANB0D1023
Book or Conf
International Association for Fire Safety Science. Fire Safety Science. Proceedings. 3rd International Symposium. July 8-12, 1991, Elsevier Applied Science, New York, Edinburgh, Scotland, Cox, G.; Langford, B., Editors, 805-814 p., 1991
Keywords
fire research | fire safety | fire science | residential buildings | egress | mathematical models | dynamic programming | case histories | evacuation | occupants
Identifiers
egress models; networks; multiple-objective; EXITT; HAZARD I
Abstract
Fire hazard analysis often includes the use of mathematical models of the egress of the individual occupants of a structure which is involved in a fire. In this paper, we introduce some mathematical optimization models which produce as output at least one path for each occupant which is optimal with respect to some measurement. Network based models of increasing levels of complexity and realism are demonstrated by means of a sequence of examples. The examples include single attribute constant costs, single attribute time-imposed on network links. Dynamic programming functional equations which are based on the principle of optimality are presented. A multi-attribute analysis is proposed to evaluate a building design with respect to evacuation paths.