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Constraints:
(a) Summary resources (time-related, technical, didactic, staff) offered to creators
for solving tasks:
X
r i Þ
y i
C
x
ð
X
;
c z 2
r i Þ
where
x
ð
- resources appointed to task r i ð
s z Þ
, X - summary resources for the
subject lead by the editor
(b) Calendar interval
t
0
T 0
, appointed to creators for choosing and solving
;
tasks
r i Þ
r i Þ
min
z
t ð
0
max
z
t ð
T 0 ;
;
r i Þ ; t ð
r i Þ
- appropriate moments to start and end solving task r i
where
t ð
by
creator c z .
The presented motivation model can be solved using an analytical method.
However, the model also well suits the simulation apparatus. On the basis of the
simulation approach, various characteristics of the motivation model can be eval-
uated. For example, the simulation approach allows us to recognize a knowledge
network stagnation (e.g., based on the birth-death process approach) and a method
for knowledge network dynamic acceleration.
8.4.6 Case Study: Motivation Model Implementation
in E-Learning
The discussed motivation model can be interpreted in terms of the simulation
model. The motivation model has been adapted to an e-learning system in order
to simulate the community-built system, where both groups of actors - students and
teachers - work jointly, aiming to provide high-quality content to the knowledge
repository. The case study is based on [ 28 ]. In that article, the authors propose a
model of the educational and social agent collaboration between students, teacher,
and an e-learning information system (the repository). Such a system is an example
of the social learning process [ 60 ]. The system will support the competency-based
learning process by means of creating a social network in order to exchange its
ontology in the repository environment. The student is included in the repository
development process. The idea is to expand the student's knowledge during the
learning process and record his achievements relying on an external (pertaining to
the market) e-portfolio mechanism.
The students work with their teacher according to a certain motivation model
[ 28 ]. The teacher (the editor) is interested in having the repository developed in a
specific direction. The student (the creator) is interested in developing his competencies
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