Symbol

Definition

Notes

T i j

the time that the visitor arrived

i = 1 , 2 , , 12 ; j = 1 , 2 , , 445

v

The speed of visitors

d i j

The shortest path between the exhibition hall j and the path i

i = 1 , 2 , , 12 ; j = 1 , 2 , , 445

t j

The time for the exhibition hall j to arrive at the paths

f j

The task amount of the path

j = 1 , 2 , , 256

s ¯

The variable number of paths.

min Z

Minimize the standard of the tasks

P n A

The nth floor of the RICHELIEU

P n B

The nth floor of the SULLY

P n C

The nth floor of the DENON

a r r i v e ( t )

THE number of arrive visitors

ρ

the density of visitor

R ( t )

The total number of people in the Louvre

Δ R ( t )

The variable number of visitors

S

The total area of the corridors

q

The corrected speed parameter

L

The total length of stairs

Δ t

Evacuation time

u

Throughput

w

Distance

D

The area of the exhibition hall

ρ s

Service intensity

c

The maximum bearing capacity of visitors

D

The serviced accommodate of visitors