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IB104-10 Mathematical Programming 1

Department
Warwick Business School
Level
Undergraduate Level 1
Module leader
Bo Chen
Credit value
10
Module duration
5 weeks
Assessment
100% exam
Study location
University of Warwick main campus, Coventry

Introductory description

This is an elective module designed specifically for non-WBS students. To find detailed availability and to apply for this module, log in to my.wbs.ac.uk using your normal IT login details and apply via the my.wbs module application system. Once you’ve secured a place on my.wbs you should apply via your home department’s usual process, which usually takes place via eVision. Note that you do not require the module leader’s permission to study a WBS module, so please do not contact them to request it.

Module web page

Module aims

At the end of the module students will be able to recognise, formulate and solve practical resource allocation and planning problems. Module members will also be able to identify the limitations of the approaches. This module serves as a prerequisite for further modules in integer and non-linear programming, which are available to students in their second and final years.

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

Introduction to Operational Research
Introduction to Linear Programming
Introduction to basic algorithms for solving linear programming problems
Practical computer work using a Linear Programming computer package
Formulation methods and Interpretation of solutions
Distribution / transportation models
Introduction to Game Theory

Learning outcomes

By the end of the module, students should be able to:

  • Recognise, formulate and solve business optimisation problems.
  • List and challenge the assumptions underpinning each of the key models studied.
  • Reflect critically on the limitations of each of the models studied.
  • Report on the meaning of the optimal solutions in a manner suited to a business context.

Indicative reading list

D. R. Anderson, D. J. Sweeney, T. A. Williams, J. D. Camm and J. J. Cochran (2015). An Introduction to Management Science: Quantitative Approaches to Decision Making. Cengage Learning.

Bynum, M.L. (2022) Pyomo - optimization modeling in Python. Third edition. Cham, Switzerland: Springer.

Interdisciplinary

Core module for key interdisciplinary degree (MORSE).

Subject specific skills

Analytically solve linear optimisation problems.

Transferable skills

Model a business optimisation problem in a suitable mathematical form and interpret optimal mathematical solutions in the business context.

Study time

Type Required
Lectures 24 sessions of 1 hour (24%)
Private study 30 hours (30%)
Assessment 46 hours (46%)
Total 100 hours

Private study description

Private Study.

Costs

No further costs have been identified for this module.

You do not need to pass all assessment components to pass the module.

Assessment group B3
Weighting Study time Eligible for self-certification
Assessment component
Examination 100% 46 hours No
  • Answerbook Pink (12 page)
  • Graph paper
Reassessment component is the same
Feedback on assessment

Feedback will be provided via my.wbs.

Past exam papers for IB104

Courses

This module is Core for:

  • USTA-G302 Undergraduate Data Science
    • Year 1 of G302 Data Science
    • Year 1 of G302 Data Science
  • Year 1 of USTA-G304 Undergraduate Data Science (MSci)
  • USTA-G300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics
    • Year 1 of G30A Master of Maths, Op.Res, Stats & Economics (Actuarial and Financial Mathematics Stream)
    • Year 1 of G30J Master of Maths, Op.Res, Stats & Economics (Data Analysis Stream)
    • Year 1 of G30B Master of Maths, Op.Res, Stats & Economics (Econometrics and Mathematical Economics Stream)
    • Year 1 of G30C Master of Maths, Op.Res, Stats & Economics (Operational Research and Statistics Stream)
    • Year 1 of G30C Master of Maths, Op.Res, Stats & Economics (Operational Research and Statistics Stream)
    • Year 1 of G30D Master of Maths, Op.Res, Stats & Economics (Statistics with Mathematics Stream)
    • Year 1 of G300 Mathematics, Operational Research, Statistics and Economics
    • Year 1 of G300 Mathematics, Operational Research, Statistics and Economics
    • Year 1 of G300 Mathematics, Operational Research, Statistics and Economics
  • USTA-Y602 Undergraduate Mathematics,Operational Research,Statistics and Economics
    • Year 1 of Y602 Mathematics,Operational Research,Stats,Economics
    • Year 1 of Y602 Mathematics,Operational Research,Stats,Economics