### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## Content and learning outcomes

### Course contents

• Basic theory for Markov chains and Markov processes
• Queueing models based on Markov processes, including models for queueing networks
• Models for inventory optimization, deterministic as well as stochastic.
• Models for optimization of spare parts
• Marginal allocation
• Dynamic programing, for recursive decision making
• Optimal control of Markov chains, for stochastic decision making.

### Intended learning outcomes

To pass the course, the student shallbe able to do the following:

• Apply basic theory, concepts and methods within the parts of systems engineering that is described in the course contents to solve problems.
• Formulate simplified problems within the application areas described by the course contents using mathematical models and optimize these with the help of software.
• Read and understand mathematical writings on, for example, linear algebra, analysis and systems engineering, and their applications, communicate mathematical reasoning and computations within this area orally and in writing in such a way that it is easy to follow.

• Explain, combine and analyze basic theory, concepts and methods within the parts of systems engineering that is described in the course contents.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Completed advanced courses in Probability theory (SF2940 or equivalent).

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Hillier and Lieberman: Introduction to operations research, samt kompletterande kursmaterial från institutionen.

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• HEM1 - Home assignment, 1,5 hp, betygsskala: P, F
• TENA - Written exam, 6,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2863

SCI/Mathematics

Mathematics

Second cycle