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Network Optimisation (MAST90013)
Graduate courseworkPoints: 12.5Not available in 2023
To learn more, visit 2023 Course and subject delivery.
Overview
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Many practical problems in management, operations research, telecommunication and computer networking can be modelled as optimisation problems on networks. Here the underlying structure is a graph. This subject is an introduction to optimisation problems on networks with a focus on theoretical results and efficient algorithms. It covers classical problems that can be solved in polynomial time, such as shortest paths, maximum matchings, maximum flows, and minimum cost flows. Other topics include complexity and NP-completeness, matroids and greedy algorithms, approximation algorithms, multicommodity flows, and network design. This course is beneficial for all students of discrete mathematics, operations research, and computer science.
Intended learning outcomes
After completing this subject, students should:
- be able to understand aspects of network optimisation problems and the methodologies to solve them;
- develop the abilities needed to design combinatorial algorithms for solving other network problems not covered in the subject;
- have the ability to pursue further studies in this and related areas.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 10 November 2023
Eligibility and requirements
Prerequisites
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST30011 | Graph Theory | Semester 1 (On Campus - Parkville) |
12.5 |
Or equivalent
Corequisites
None
Non-allowed subjects
None
Recommended background knowledge
An introductory-level subject in operations research equivalent to
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20018 | Discrete Maths and Operations Research | Semester 2 (On Campus - Parkville) |
12.5 |
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 10 November 2023
Assessment
Description | Timing | Percentage |
---|---|---|
Up to 50 pages of written assignments (two assignments worth 15% each, due mid and late in semester)
| Second half of the teaching period | 30% |
A written examination
| During the examination period | 70% |
Last updated: 10 November 2023
Dates & times
Not available in 2023
Time commitment details
170 hours
Last updated: 10 November 2023
Further information
- Texts
Prescribed texts
Lecture notes prepared by Dr Sanming Zhou, and the textbook by B. Korte and J. Vygen, Combinatorial Optimiation: Theory and Algorithms. 2nd Edition, Springer, Berlin, 2002
Recommended texts and other resources
TBA
- Related Handbook entries
This subject contributes to the following:
Type Name Course Master of Science (Mathematics and Statistics) Course Ph.D.- Engineering Course Doctor of Philosophy - Engineering Course Master of Philosophy - Engineering Informal specialisation Mathematics and Statistics - Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 10 November 2023