Queueing theory has many practical applications and some queueing systems, including complex ones, can be studied analytically. This module covers the main mathematical techniques and is centred in investigations of long-run behaviour. This part of the module contains some very interesting mathematics including investigations of long-run behaviour of underlying stochastic processes. It also provides motivation for the use of simulation in complex problems where analytical solution can become difficult.
Simulation is one of the most widely used Operational Research techniques in industry, business and government organisations. This module aims to provide a good understanding of the theory of simulation and the skills in its practical application. There will be several computer laboratory sessions during the module. Students will gain experience and skills in using simulation software packages or libraries. The course work, which is a major component of the module, applies these skills in the study of a practical real-life example. The module will lead on from the material presented in Computer Tools for Operational Research, and will include continuous and discrete simulation. Statistical methods are required for the good use of simulation models and the module will cover elements of the design of simulation experiments, variance reduction and the analysis and interpretation of results.
Pre-requisite: MATH2010 AND MATH2011 AND MATH2013