APP MTH 3016 - Random Processes III
Career: | Undergraduate |
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Units: | 3 |
Term: | 4120 |
Campus: | North Terrace |
Contact: | Up to 3 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | Yes |
Pre-Requisite: | (MATHS 1012 and MATHS 2103) or (MATHS 2201 and MATHS 2202) or (MATHS 2106 and MATHS 2107) |
Assumed Knowledge: | Knowledge of Markov chains, such as would be obtained from MATHS 2103 |
Assessment: | Ongoing assessment, exam |
Syllabus: |
This course introduces students to the fundamental concepts of random processes, particularly continuous-time Markov chains, and related structures. These are the essential building blocks of any random system, be it a telecommunications network, a hospital waiting list or a transport system. They also arise in many other environments, where you wish to capture the development of some element of random behaviour over time, such as the state of the surrounding environment. Topics covered are: Continuous-time Markov-chains: definition and basic properties, transient behaviour, the stationary distribution, hitting probabilities and expected hitting times, reversibility; Queueing Networks: Kendall's notation, Jackson networks, mean; Loss Networks: truncated reversible processes, circuit-switched networks, reduced load approximations. Basic Queueing Theory: arrival processes, service time distributions, Little's Law; Point Processes: Poisson process, properties and generalisations; Renewal Processes: preliminaries, renewal function, renewal theory and applications, stationary and delayed renewal processes; |
Course Fees
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
Course Outline
A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
Critical Dates
Term | Last Day to Add Online | Census Date | Last Day to WNF | Last Day to WF |
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4120 | Mon 09/08/2021 | Wed 18/08/2021 | Fri 17/09/2021 | Fri 29/10/2021 |
Class Details
Enrolment Class: Lecture | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
22809 | LE01 | 90 | 43 | 29 Jul - 16 Sep | Thursday | 9am - 10am | Engineering Sth, S112, Teaching Room |
7 Oct - 28 Oct | Thursday | 9am - 10am | Engineering Sth, S112, Teaching Room | ||||
Related Class: Tutorial | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
22812 | TU02 | 45 | 33 | 29 Jul - 16 Sep | Thursday | 11am - 12pm | MyUni, OL, Online Class |
7 Oct - 28 Oct | Thursday | 11am - 12pm | MyUni, OL, Online Class | Note: This class is for offshore / remote students only. Please refer to MyUni for details once enrolled. | |||
22813 | TU01 | 45 | 10 | 27 Jul - 14 Sep | Tuesday | 1pm - 2pm | Ingkarni Wardli, B18, Teaching Room |
5 Oct - 26 Oct | Tuesday | 1pm - 2pm | Ingkarni Wardli, B18, Teaching Room | Note: This class will be delivered face to face. |