IB104-10 Mathematical Programming 1
Introductory description
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.
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
- WL Winston, Operations Research: Applications and Algorithms, Thompson. (Any edition)
- Hillier and G. Lieberman, Introduction to Operations Research. (Any edition)
- Anderson, Sweeney and Williams, An Introduction to Management Science, West. (Any edition)
- Taylor, Introduction to Management Science, Prentice Hall. (Any edition)
- Taha, Operations Research: An introduction. (Any edition)
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 | 5 sessions of 4 hours (20%) |
Seminars | 4 sessions of 1 hour (4%) |
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 B
Weighting | Study time | Eligible for self-certification | |
---|---|---|---|
Examination | 100% | 46 hours | No |
~Platforms - AEP
|
Feedback on assessment
Feedback will be provided via my.wbs.
Courses
This module is Core for:
- Year 1 of USTA-G302 Undergraduate Data Science
- Year 1 of USTA-G304 Undergraduate Data Science (MSci)
- Year 1 of USTA-G300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics
- Year 1 of USTA-Y602 Undergraduate Mathematics,Operational Research,Statistics and Economics
This module is Optional for:
- Year 1 of UCSA-G500 Undergraduate Computer Science
-
UCSA-G503 Undergraduate Computer Science MEng
- Year 1 of G500 Computer Science
- Year 1 of G503 Computer Science MEng
- Year 1 of UCSA-I1N1 Undergraduate Computer Science with Business Studies
- Year 1 of USTA-G1G3 Undergraduate Mathematics and Statistics (BSc MMathStat)
- Year 1 of USTA-GG14 Undergraduate Mathematics and Statistics (BSc)
This module is Option list B for:
- Year 1 of UMAA-G105 Undergraduate Master of Mathematics (with Intercalated Year)
- Year 1 of UMAA-G100 Undergraduate Mathematics (BSc)
-
UMAA-G103 Undergraduate Mathematics (MMath)
- Year 1 of G100 Mathematics
- Year 1 of G103 Mathematics (MMath)
- Year 1 of UMAA-G106 Undergraduate Mathematics (MMath) with Study in Europe
- Year 1 of UMAA-G1NC Undergraduate Mathematics and Business Studies
- Year 1 of UMAA-G1N2 Undergraduate Mathematics and Business Studies (with Intercalated Year)
- Year 1 of UMAA-GL11 Undergraduate Mathematics and Economics
- Year 1 of UECA-GL12 Undergraduate Mathematics and Economics (with Intercalated Year)
- Year 1 of UMAA-G101 Undergraduate Mathematics with Intercalated Year