Consider the exodus of spectators from a large auditorium hosting the Mathematic
ID: 2902419 • Letter: C
Question
Consider the exodus of spectators from a large auditorium hosting the Mathematics Olympiad. Make a list of features that may affect the time to evacuate the spectators from the auditorium if there were a bomb found within the auditorium. Prune your list to 10 features and write them down. Group your features into 2 or less groups. You may need to further prune the list. Using the groups construct a mathematical model for the evacuation of spectators. A simple model may involve one independent variable, a dependent variable and two constants. Assess the accuracy of your model in the two extreme cases where There is only one exit causing restriction to the outflow of spectators. There is no restriction and spectators leave as swiftly as they can walk calmly to the numerous exits.Explanation / Answer
Features :
1) number of seats.
2) distance(space) between each seats.
3)Age of the audience, low age audience will need help and panic more.(a particular sex type can be more panicy ;))
4) Physique of audience( bulky people will have more problem in evacuation, not letting others pass through them)
5) Light( If you can't see, you can's escape)
6)Number of people who are more acquainted to the place and who are not
7) number of people sitting and those who are not like volunteers/organisers
8) number of empty seats( back seats are more supposed to be empty)
9)number evacuation doors.
10) number of doors nearer to the seats and farthest away from the seats.
(b)
These can be grouped into one group :
y, number of persons nearer to the door, take two centroids, p(nearer to evacuation door) and q(farther to evacuation doors), based on nearness to the evacuation doors and form clusters |
count the number of persons more nearer to the centroid p than centroid q , let it be n
count the number of persons more nearer to the centroid q than centroid p , let it be m
total number of persons = p+q
you can proceed accordingly, this is one of the several solution paths you can follow. Discussing this question and making figures can be more helpful.