Learning Outcomes:
On completion of this module, you should be able to:
• Describe the main principles of mathematical modelling as they apply to decision problems and optimisation;
• Explain the details of a suite of key decision tree, mathematical programming and network approaches to problem solving;
• Apply these principles to improve the quality of analysis and decision-making;
• Discuss a portfolio of important business and other applications of these principles;
• Use mathematical modelling computer packages and information technology as an aid in decision making.
Indicative Module Content:
Indicative Module Content:
• Decision Modelling and Analysis. Structuring decisions: application of decision trees.
• Linear Programming (LP) advanced model formulation and applications;
• Implementing (LP) models in software, solving and interpreting solutions;
• Integer Programming (IP) models, solution and applications;
• Introduction to Graph Theory and Network problems;
• Network Optimisation: The minimum spanning tree problem and the shortest path problem.
• Social Networks and other Real World Networks: centrality measures; empirically observed network structures.