AMS4001 - Stochastic Analysis for Business
Year of Study: | 3 - 4 |
Credit Units: | 3 |
Duration: | 45hours |
Prerequisites: | AMS1001 Introduction to Linear Algebra and Calculus and AMS2001 Quantitative Methods for Business Management; or with the Instructor’s permission and upon endorsement of the relevant Chairperson or Programme Director. |
Module Description
This module aims to introduce to students some advanced topics in operations research.
Students can learn theories and techniques of integer programming (e.g.
Branch-and-Bound algorithm and Branch-and-Cut approach), queuing theory (e.g.
Birth-and-Death process and queuing networks), Markov decision process and nonlinear
programming (e.g. the Karush-Kuhn-Tucker conditions, quadratic programming and
convex programming). Applications to business management and finance are provided.
Students can learn theories and techniques of integer programming (e.g.
Branch-and-Bound algorithm and Branch-and-Cut approach), queuing theory (e.g.
Birth-and-Death process and queuing networks), Markov decision process and nonlinear
programming (e.g. the Karush-Kuhn-Tucker conditions, quadratic programming and
convex programming). Applications to business management and finance are provided.
Learning Outcomes
Upon completion of this module, students should be able to:
- understand the mathematical theories, modelling and solution techniques of integer programming, queuing theory, Markov decision processes and nonlinear programming;
- apply the mathematical techniques to design operations research models;
- apply the programming and modelling techniques with/without the use of computer software to solve the operations research problems; and
- interpret the solution and convey the analytical results of the business problem accurately.