Modelling and simulation

1. MODELLING and SIMULATION

Oxana Zamyatina, Associate Professor,
Control System Optimization Department,
Tomsk Polytechnic University
[email protected]
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2. Course structure

Lectures 36 hours
Labs 36 hours
Exam
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3. Main terms

Model is a material or abstract object which
substitutes an original object in investigation
(studying) process, saving some important and
typical
characteristics
and
features
for
investigation
Modelling is a process where one object
(original) substitutes another one (model) and
fixes original object characteristics by means of
model characteristics studying
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4. What models can be created for?

For understanding:
1. What is the object structure?
2. What are main object properties and
characteristics?
3. What are object evolution laws and
object interaction with environment?
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5. What models can be created for?

For
object
management
and
controlling at the framework of
certain goals and conditions
For forecasting of direct and indirect
consequences of different influences
on the object
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6. The model allows to

manage the original object by means
of changing and approving different
control methods over the model;
avoid and decrease financial costs;
carry out experiments with the model
in case when a real object is
unavailable.
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7. Main terms

System boundary
Hierarchy level
Alternative solutions
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8. Main terms

Adequacy is a degree of conformity of
modelling to original object, which we obtained
in the process of model investigation, testing
tasks and experiments
Adequate model is the model with certain
approximation degree which reflects the
process of original object functioning in the
real conditions
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9. Model classification

Models
Material
(physical)
Ideal
Symbolic
Intuitive
Full-scaled
Quasi fullscaled
Scaled
Analogous
Mathamatical
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10. Mathematical model classification

I
Mathematical model
Stochastic
Deterministic
II
Mathematical model
Analytical
Numerical
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11. Model classification

I
Model
Stable
II
Unstable
Model
Open
III
Closed
Model
Static
Dynamic
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12. Stages of complex model development

13. Model properties

Finitude
Simplicity
Approximateness
Adequacy
Information density
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14. Modelling stages

Modelling stages
I
II
Requirement analysis
And design
Target setting and goals
of modelling
Collection and analysis
of initial data about original
object
Development of
conceptual model
Validity test of
conceptual model
IV
III
Model
development
Selection of
instrumental tools
Development
Implementation
Model running
and simulating
Modelling results analysis
according initial
requirements and goals
Model parameters
of logic model
changing and statistics
collection
Definition of
module properties
Modelling results
In the model
analysis
Definition of
model time
Model
verification
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15. Modelling stages

1.
Requirement analysis and design
2.
Model development
3.
Implementation
4.
Modelling results analysis according initial
requirements and goals
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16. Requirement analysis and design

1. Requirement analysis
and design
1.1.
Target setting
1.2. Collection and analysis of initial data about original
object
1.3. Development of a conceptual model
1.4. Validity test of a conceptual model
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17. 2. Model development

2.1. Instrumental tools selection
2.2. Logic model development
2.3. Module properties setting
2.4. Model time setting
2.5. Model verification
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18. 3. Implementation

3.1. Model running and simulating
3.2. Model parameters changing and statistic
data collection
3.3. Analysis of modelling results
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19.

Thank you for attention!
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