64427 STOCHASTIC PROCESS MODELLING

Year	No.	Offer	Mode	Description			Cred. Pts
99	64427 	S2  	D 	STOCHASTIC PROCESS MODEL'G	1.00

Contents

• Staffing
• Rationale
• Synopsis
• Objectives
• Topics
• Assessment Details
• Other Requirements

STAFFING:

RATIONALE:

Stochastic  modelling  finds application in  diverse  fields  such  as
reliability theory, insurance, manpower planning, computer networking,
traffic  management, epidemiology, and many others. Knowledge  of  the
techniques   of  stochastic  modelling  is  particularly   useful   to
statisticians and applied mathematicians.

SYNOPSIS:

This  unit  consists  of  techniques and  applications  of  stochastic
modelling.  Study  areas  include:  Markov  modelling,  random  walks,
renewal processes, diffusion process and various applications.

OBJECTIVES:

On completion of this unit students will be able to:

1. recognise the relevance of the mathematical techniques
   presented in this unit to real-world problems;
   
2. demonstrate the ability to apply these techniques to some real-
   world processes;
   
3. understand the meaning of the concepts of stationarity,
   stochastic convergence, and ergodicity;
   
4. demonstrate a knowledge and understanding of a range of random
   processes including stationary processes, the Poisson process,
   Markovian processes, random walks, branching processes,
   renewal processes, queueing processes, semi-Markov processes
   and diffusion processes;
   
5. understand the concept of a diffusion approximation;
   
6. be familiar with various computational methods used in
   probability theory.
   

TOPICS:

 Description                                                    Weighting(%)

A selection from the following:                                       100.00
Probability theory, generating functions

Stationary processes, ergodicity

Random walks

Markov processes in discrete and continuous time

The homogeneous and nonhomogeneous Poisson process

Renewal processes

Semi-Markov processes

Non-Markovian processes

Martingales

Diffusion processes, diffusion approximations

Applications  in  manpower  planning,  traffic  flow  and
gambling

ASSESSMENT DETAILS:

No  *F/S Marks     Due        Description                              Wtg(%)    LBL WWW
1   S              T.B.A.                                                        Y   N

OTHER REQUIREMENTS:

1    In  accordance  with  University's  Assignment  Extension  Policy
     (Regulation  5.9), the examiner of a unit may grant an  extension
     of  the  due  date of an assignment in extenuating circumstances.
     This  policy  may  be  found in the USQ  Handbook,  the  Distance
     Education  Study  Guide and the Faculty of Sciences'  Orientation
     Handbook for new on-campus students. All students are advised  to
     study and follow the guidelines associated with this policy.