## Example Exam Questions

This is a list of questions that have been used in previous years in exams for this simulation course. Please note that the list will be updated regularly and that questions differ in style between oral and written exams.

Important disclaimer:

This list is intended only as a guideline for students. Questions may be added, modified or deleted at any time.

No guarantee is made that any question used in the examination can be found in this list!

Wichtiger Hinweis:

Diese Liste dient nur zur Orientierung für Studenten. Fragen können jederzeit hinzugefügt, geändert oder ergänzt werden.

Es wird keinerlei Garantie dafür gegeben, dass irgendeine Frage in der Prüfung in dieser Liste zu finden ist!

### Semester Assignment

• Sketch the behaviour of the state variables
• Explain the behaviour of the state variables
• Explain the continuous part of the model
• Explain the discrete part of the model
• Explain how you implemented the continuous part of the model
• Explain how you implemented the discrete part of the model

### Ordinary Differential Equations

• How are ODEs integrated numerically?
• What is the idea behind step size control?
• What is the order of an integration method?
• Derive Euler's integration method
• What is stability?
• What is stiffness?
• What is an Initial Value Problem? Give an example.
• Give examples of ODEs with the following behaviour:
• chaotic behaviour
• periodic behaviour

### Random Number Generation

• How are random numbers generated?
• What properties should such a generator have?
• What properties should random numbers have?
• How can these properties be tested?
• How can a longer period be obtained?
• How can random numbers with any distribution be generated?

### Random Variables

• How can random variables be described?
• What are the main properties of pdfs and cdfs?
• Describe some common distributions and examples of their use
• Sketch Normal distributions with large and small variances
• Sketch Weibull distributions with β<1, β=1, β>1
• What is the unique property of the exponential distribution?

### Data Analysis

• Describe the phases of data analysis
• What is the Q-Q plot?
• How is a Q-Q plot made?
• What exactly does a Q-Q plot reveal?
• Give examples of obtaining parameters of a guessed distribution
• How can these parameters be tested for accuracy?
• What is the chi-square test?
• What is the Kolmogorov-Smirnoff test?

### Output Analysis

• What is a confidence interval?
• How is a confidence interval computed?
• Under what conditions is a confidence interval valid?
• What is the method of independent replications?
• How can the width of a confidence interval be reduced?

### Stochastic Petri Nets

• What is a stochastic Petri net?
• What are the components of a stochastic Petri net and how do they work?
• Draw an SPN that describes a simple queue with one server
• Draw an SPN that describes a simple queue with two servers
• What are the rules governing the firing of a transition?

### Queueing Systems

• Name and explain some queueing strategies
• What are the goals of queueing strategies?
• What is pre-emption?
• Give some examples of different queueing strategies

### General

• Describe the stages of a simulation project
• What is meant by the state of a system?
• What is a state variable?
• What is the mean and sample variance of a data set?
• What is a null hypothesis?
• What is verification?
• What is validation?
• Explain one method for validating a simulation model
• What two principles are used to build a conceptual model?
• What is abstraction?
• What is idealisation?
• What is the difference between statistical and practical significance?
• Explain how a discrete-event simulator works
• How would you compare two simulation models?
• What is correlated sampling?
• What is variance reduction?
• What is an event list?
• Explain the following terms:
• primary event
• secondary event
• attribute
• entity
• system
• activity
• delay
• state
• boundary

Letzte Änderung: 27.02.2019 - Ansprechpartner: Webmaster