1982
DOI: 10.1007/bf02993491
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Network models for building evacuation

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Cited by 80 publications
(21 citation statements)
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“…Associated emergency navigation algorithms at that time normally used purely mathematical models to simplify an evacuation process and seek optimal solutions. Thus in [31] evacuation planning is considered as a minimum cost network flow problem that converts the original building graph to a time-expanded network. By solving the time-expanded network via a linear programming algorithm, evacuees can obtain optimal routes and achieve shortest evacuation time.…”
Section: A Literature Reviewmentioning
confidence: 99%
“…Associated emergency navigation algorithms at that time normally used purely mathematical models to simplify an evacuation process and seek optimal solutions. Thus in [31] evacuation planning is considered as a minimum cost network flow problem that converts the original building graph to a time-expanded network. By solving the time-expanded network via a linear programming algorithm, evacuees can obtain optimal routes and achieve shortest evacuation time.…”
Section: A Literature Reviewmentioning
confidence: 99%
“…Finalmente, cada corredor (i, j, k) está restringido por el tiempo de desplazamiento, λ(i,j,k), un entero no-negativo que mide el tiempo que una persona requiere para atravesar la longitud entera de un corredor. Es importante mencionar que es 1 (M) representa powerset del conjunto M el experto o grupo de expertos los encargados de especificar cada una de las restricciones mencionadas previamente en el edificio de interés [4,[8][9][10][11][12][13][14][15].…”
Section: Definición Del Problemaunclassified
“…They can be either time-dependent or time-independent. Being an effective modeling tool for transportation problems, the dynamic network models are also widely used in evacuation problems including: time-expand network with constant parameters [7], minimal cost flow model with side constraints [8], lexicographic minimal cost flow model [9], earliest arrival flow model [10], integral time-dependent quickest flow model [11] and polynomial-time approximation scheme model [12]. In practice, most of the current optimization approaches are based on static networks or timeindependent dynamic networks.…”
Section: Cg Based Applicationsmentioning
confidence: 99%