MSc Business Analytics: Operational Research and Risk Analysis / Course details
Year of entry: 2025
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Course unit details:
Mathematical Programming
Unit code | BMAN60101 |
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Credit rating | 15 |
Unit level | FHEQ level 7 – master's degree or fourth year of an integrated master's degree |
Teaching period(s) | Semester 1 |
Available as a free choice unit? | No |
Overview
Mathematical modelling and optimization are critical to production planning, service design, and decision-making at operational, managerial, and strategic levels. They are also the foundation of machine learning and artificial intelligence. This course provides students with a solid understanding of the techniques and skills that underpin the business data analytics industry. Through real-world examples, students will learn how academic theory applies to practice, enhancing their ability to make informed decisions in workplace environments and management consulting roles. The module also highlights the importance of optimization techniques in addressing contemporary challenges such as minimizing costs, reducing waste, and mitigating the environmental impact of business activities.
Pre/co-requisites
Aims
The aim of this unit is to equip students with key concepts and algorithms of mathematical programming and demonstrate how to apply them in the context of resource management for business. The course covers linear, non-linear, integer, and dynamic programming, including problem formulation, solution techniques, solution interpretation, sensitivity analysis, and metaheuristics. Students will gain an understanding of the algorithms used to find optimal solutions and learn to apply these algorithms both manually and using software tools like Excel Solver, OpenSolver, and other optimization software packages.
Learning outcomes
At the end of the unit students should be able to understand the main optimization approaches and their applications for solving managerial decision problems. Students should be able to critically analyse and model appropriate decision problems and solve them analytically, or by using optimization software. They will learn to present solutions and arguments in textual and oral forms, both individually and in groups.
Teaching and learning methods
Formal Contact Methods
Minimum Contact hours: 20
Delivery format: Lecture and Workshops
Knowledge and understanding
Identify various types of decision-making problems and formulate them as appropriate mathematical programs.
Apply suitable algorithms and procedures to solve these problems, finding optimal solutions both manually (for small-scale problems) and using software tools such as Excel, Python, or other relevant software packages
Interpret the optimal solutions and analyze resource utilization, conducting sensitivity analysis where applicable.
Intellectual skills
Construct abstract mathematical models from concrete problem statements
Design, analyse, and apply step-by-step procedures (algorithms) to solve problems, both manually or through computer programming, effectively and efficiently.
Analyse the impact of market fluctuations or resource availability on decision making and performance
Practical skills
Apply mathematical programming techniques to solve problems in areas such as resource allocation, scheduling, production planning, or supply chain management.
Use software tools like Excel Solver, OpenSolver, Python, MATLAB, or other optimization packages to solve mathematical programs, and understand how the programs work.
Decide whether and how an optimal business plan should be adjusted when there is fluctuations in market condition or resource availability, to ensure optimal decision-making under uncertainty.
Transferable skills and personal qualities
Break down complex decision-making scenarios into manageable components and identify their essential features, and frame real-world problems as mathematical formulations, enabling structured solutions.
Focus on optimising business objectives when planning and allocating resources.
Translate mathematical models and solutions into actionable business decisions for managers, and communicating the implications and resource status associated with implementing optimal plans.
Assessment methods
50% Exam
50% Coursework
Feedback methods
• Informal advice and discussion during lectures and office hours.
• Written and/or verbal comments on assessed or non-assessed work.
• Responses to student frequently asked questions via Canvas or emails.
• Generic feedback posted on Canvas regarding overall examination performance.
Recommended reading
The CORE text is:
HILLIER, F and LIEBERMAN, G (2004 or any later edition), Introduction to Operations Research with CD-Rom, McGra Hill
Taha, H.A. Operations Research, An Introduction (1997, 5th Edition or later), Macmillan
Hastings, N.A.J (1988) Dynamic Programming with Management Applications, The Butterworth Group, England
The most important chapter of the book can be accessed from this link: https://contentstore.cla.co.uk/secure/link?id=224f1b5d-22af-e711-80cb-005056af4099 (It will ask you to login first; after login, you may see an error message, but if you come here to click on this link again, it should work
TALBI, El-Ghazali (2009), Metaheuristics: from design to implementation (e-book available through the library)
Other readings:
Smith, D.K (1991) Dynamic Programming, A Practical Introduction, Ellis Horwood
Study hours
Scheduled activity hours | |
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Assessment written exam | 2 |
Lectures | 33 |
Independent study hours | |
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Independent study | 115 |
Teaching staff
Staff member | Role |
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Dong Xu | Unit coordinator |
Additional notes
Informal Contact Method
Office hours
Peer Assisted Study Sessions