A fuzzy maximum dynamic flow model for emergency building evacuation

Present paper is devoted to the solution of the important task of the building evacuation, in particular, evacuation of the maximum number of suffered from the dangerous zone to the safe one within the given time horizon. The considered building model is represented by the transportation network with dynamic structure, as arc capacities and time parameters vary in time. Moreover, arcs of the network have weights that limit the upper bounds of the evacuees that can be arranged in the particular node. The fuzzy and ambiguous nature of the network's parameters leads to the problem statement in fuzzy conditions, in particular that allows to obtain more reliable results and deal with vague and incomplete input data. Numerical example is solved to represent the proposed method.