Postgraduate Course: Simulation (MATH11028)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 11 (Postgraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Operational Research |
Course website |
http://student.maths.ed.ac.uk |
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Course description |
Generating Uniform random numbers using Linear Congruential methods. Tests of randomness including Frequency and Serial tests and Lattice behaviour. Generating Random Variates from distributions: Inversion of the cumulative distribution function and Envelope Rejection methods. Generating variates from standard distributions including normal, gamma, beta, Poisson, binomial. Theory and simulation of Poisson and other birth-death processes. Discrete event simulation: Entity, Event, Activity, Attribute, and Set. Event and Three-Phase approaches to model construction. An example in JAVA. Design and analysis of experiments: Use of random number seeds. Variance Reduction including Antithetic and Control Variates. Analysis of autocorrelated output data. Use of the SIMUL8 package to build and experiment on models of manufacturing and management systems. Project work for continuous assessment part of course. |
Course Delivery Information
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Delivery period: 2010/11 Semester 1, Not available to visiting students (SS1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
No Classes have been defined for this Course |
First Class |
First class information not currently available |
Summary of Intended Learning Outcomes
Ability to build and analyse the results from a SIMUL8 model of discrete event systems. Understanding how uniform and non-uniform random generators work and how to simulate birth-death processes. Awareness of issues regarding the efficient design and analysis of output results. |
Assessment Information
Course Work 10%, Project 40%, Examination 50%. |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Julian Hall
Tel: (0131 6)50 5075
Email: J.A.J.Hall@ed.ac.uk |
Course secretary |
Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:19 am
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