Cit Flashcards

(40 cards)

1
Q

What is a model?

A

A representation (physical or abstract) of a system, object, or concept used to understand and analyze its behavior.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Define modelling.

A

The process of creating abstract, conceptual, or mathematical representations of systems to study their behavior.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is simulation?

A

A technique (not a method) for experimenting with a model to understand how a system behaves over time.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is modelling & simulation?

A

Is a discipline used to develop a level of understanding of the interaction of part of a system or system as a whole

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Define a computer model.

A

A simulation or model of a situation in the real world or an imaginary world which parameters a user can alter

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

State three objectives of simulation studies.

A

Describe a current system, explore hypothetical systems, and design improved systems.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

List the steps in modelling.

A

Examine the real situation, Extract essential features, Construct model, Experiment, Derive conclusions, Refine if needed, Implement.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Why are models used instead of real systems?

A

To save cost, avoid risk, and test scenarios that are impractical or impossible in reality.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What are physical models?

A

Iconic representations like model cars or buildings used to study real-world behavior.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What are mathematical models?

A

Abstract models using equations to predict or project system behavior.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What are analogue models?

A

Use analogies, e.g., electric currents to represent system flow.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Define simulation models.

A

Use random numbers to emulate real system behavior under assumed conditions.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Define heuristic models.

A

Rule-based models using intuition or futuristic predictions.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Define deterministic models.

A

Models with fixed and known variables and outcomes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Define stochastic models.

A

Models with uncertain variables involving probability.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is a random number?

A

A number that shows no consistent pattern with numbers in a series and are not affected by presiding numbers nor predictable from it

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What is the Congruential Method?

A

generate random numbers by computing the next random numbers from the last random numbers obtained

18
Q

What is the Mid-Square method?

A

Squares the number, extracts middle digits, repeats. Rarely used due to degeneration.

19
Q

What is the RND function in BASIC?

A

Generates pseudo-random numbers between 0 and 1. Use RANDOMIZE to vary the seed.

20
Q

Name 3 methods of generating random numbers.

A

Quadratic Congruentual method , mid square method , mid product method

21
Q

What is the Monte Carlo method?

A

Is a class of computational algorithms that rely on repeated random sampling to obtain their results.

22
Q

Key application areas of Monte Carlo?

A

Risk analysis, physics, engineering, Business and finance, Games, telecommunications.

23
Q

Difference between Monte Carlo and What If analysis?

A

Monte Carlo uses random sampling; ‘What If’ uses fixed scenarios.

24
Q

What is a Monte Carlo algorithm?

A

An algorithm of computers used to simulate the behavior of other systems

25
Give one real-world example of Monte Carlo usage.
Predicting neutron travel in materials (used by von Neumann at Los Alamos).
26
What is a normal distribution?
A bell-shaped continuous distribution where data clusters around the mean.
27
Define standard normal distribution.
A normal distribution with mean = 0 and standard deviation = 1.
28
What is skewness?
The asymmetry in a distribution; right-skew = long right tail.
29
What is a percentile?
The proportion of data below a certain value.
30
What is a random variable?
A variable whose value is subject to randomness (discrete or continuous).
31
State the Central Limit Theorem.
The sample mean of many independent variables approaches a normal distribution.
32
What is queuing theory?
Study of waiting lines to analyze performance and optimize service systems.
33
Key queuing parameters?
Arrival rate, service rate, number of servers, queue discipline.
34
List 4 queue disciplines.
FIFO, LIFO, Priority, Processor Sharing.
35
What is a time-driven simulation?
Simulation that progresses in equal time intervals regardless of events.
36
Difference between discrete-event and continuous simulation?
Discrete: triggered by events. Continuous: changes happen over time via equations.
37
What is FEM?
A numerical method to solve complex physical problems by discretizing into small elements.
38
What are the steps in simulation using FEM?
Idealization, Discretization, Solution.
39
What are essential boundary conditions in FEM?
Displacement-related constraints imposed directly on DOFs.
40
Why is mathematical modelling an abstraction of reality?
It filters out irrelevant details to focus on analysis-relevant aspects.