AMS4001 - 商業隨機分析

年級:3 - 4
學分: 3
時間: 45小時
先修單元: 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.
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.
Upon completion of this module, students should be able to:

  1. understand the mathematical theories, modelling and solution techniques of integer programming, queuing theory, Markov decision processes and nonlinear programming;

  2. apply the mathematical techniques to design operations research models;

  3. apply the programming and modelling techniques with/without the use of computer software to solve the operations research problems; and

  4. interpret the solution and convey the analytical results of the business problem accurately.