IEEE Systems, Man and Cybernetics Magazine - April 2021 - 27

reflect the seat selection results generated by the interaction
among student occupants.

According to the modified social force model, a program
is developed to simulate the occupant flow scenario. When
the students wish to go to a classroom, they first choose
which building and type of classroom according to their own
habits. They then choose a classroom to enter according to
its in situ occupancy rate, which can directly reflect their
psychological repulsion. They are not willing to enter a
classroom if its occupancy exceeds a certain value. When
they enter a classroom, the process of choosing a seat
involves their own preferences for a certain location; furthermore, their choices are also influenced by the in situ
occupation of the seats. The social force model can fully

Scheduling Model
Scheduling Problem Formulation
A popular seat is defined when it satisfies one of the following two cases: 1) two seats next to its left side and two seats
next to its right side are vacant, e.g., seat 41 in Figure 8; and
2) an aisle, e.g., seats 1 and 5 in Figure 4. The number of
classrooms that can be scheduled in a day as well as the
number of seats in a classroom are constant. But the

Front
Door

Platform

1

Row 1

2

3

4

5

6

7

8

9

10 11 12 13 14

...

Aisle 3

Column
8-14

Aisle 2

...

Aisle 1

Row 2

...

Row 7

Back
Door

Row 8
Column
1-7

Column
8-12

Figure 6. The layout of a large classroom.

Front
Door

Platform

Row 1

1

2

3

4

5

6

7

8

9

10

11

Aisle 1

Aisle 2

Row 2

Row 3

Column
9-11

Row 4
Column
9-10
Row 5
Column
1-3

Column
4-8

Back
Door

Figure 7. The layout of a small classroom.

	

Ap ri l 2021

IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE	

27



IEEE Systems, Man and Cybernetics Magazine - April 2021

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