STU22006 – Management Science Methods

Module Learning Outcomes

On successful completion of this module, students will be able to:
LO1. Identify an infeasible problem, a problem with multiple solutions or the
presence of degeneracy
LO2. Describe how to find an initial basic feasible solution to a linear program
LO3. Formulate and solve linear programming problems using graphical analysis and the simplex method
LO4. Conduct a parametric analysis on a coefficient in the objective function
LO5. Define and formulate a balanced transportation problem
LO6. Formulate and solve integer programs with a branch and bound algorithm
LO7. Identify the concepts and terminology involved in Simulation Modeling
LO8. Describe different kinds of simulation techniques and be familiar with a
range of application examples
LO9. Apply a simulation using appropriate software
LO10. Describe the limitations of Simulation Modeling

Module Content

• Semester 1
• Characteristics of Linear Programming
• Formulation of Linear Programming problems
• Use of the Simplex Method for solving Linear Programming problems
• Sensitivity Analysis on the output from a Linear and Goal Programming problem
• Formulation and solution of Transportation, Transhipment and Assignment problems
• Formulation of a 0 – 1 Linear Programming problem and solution using the Cutting Plane and Branch & Bound Methods
• Analysis of networks for the Chinese Postman and Travelling Salesman Problems
• Other relevant mathematical models
• Semester 2
• Introduction to Simulation Modeling
• Probability Distributions and Random Number Generation
• Applications of Simulation Modeling
• Queueing Models
• Software for Simulation
• Statistical Analysis of Output

Teaching and Learning Methods

2 hours lectures in both Semester 1 and 2
In-Class Tests in Semester 1

Software Assignments in Semester 2
1 hour lab per week for Semester 2

Exam (100%)

Contact Hours and Indicative Student Workload

Practical Management Science (6th Edition) by Wayne L. Winston, S. Christian Albright. Cengage (2019)

Introduction to Management Science (13th Edition) by Bernard W. Taylor. Pearson (2019)

An Introduction to Management Science: Quantitative Approaches to Decision Making (3rd Edition) by David Anderson, Dennis Sweeney, Thomas Williams, Mik Wisniewski, Xavier Pierron. Cengage (2017)

Module Pre-requisites

Prerequisite modules: ST1004

Other/alternative non-module prerequisites: e.g. programming languages,
specified topics, etc.. This information will be particularly relevant for visiting
students or students taking this module as an approved module (if applicable).

None

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