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 620-262 Decision-Making

Credit Points

12.5

Coordinator

Dr A Byrne

Prerequisites

Mathematics and Statistics 620-261 (1997 Handbook 618-261).

Semester

2

Contact

36 lectures (three per week) and 12 x 1-hour laboratory classes or tutorials (one per week)

Subject Description

Students completing this subject should comprehend

  • the essential features of decision-making situations encountered in operations research investigations;
  • what kind of practical problems have these features;
  • a number of basic mathematical approaches to such situations;
  • techniques used to solve decision-making situations represented by these approaches; the theoretical foundations of these techniques;

have developed the ability to

  • to construct formal mathematical models for practical decision-making situations;
  • solve a number of two-person games, including zero-sum and non-zero-sum games, cooperative and non-cooperative games;
  • use linear programming and dynamic programming techniques in the solution of a number of multi-objective optimisation problems;
  • evaluate rules for decision-making problems under strict uncertainty;

and appreciate

  • the complexity of decision-making situations encountered in operations research investigations;
  • the extent and limitations of a number of operations research techniques used to solve such problems;
  • the important role that linear algebra and calculus play in the development of these techniques.

Decision analysis: a selection of topics in decision analysis, including single-stage and multi-stage decision models, in particular those using linear programs; zero-sum games; preference relations and optimisation; multi-criteria decision making; decision trees. Use of computer packages and Internet resources.

Assessment

Up to 24 pages of written assignments and a three-hour end-of-semester written examination.



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