 Academic Year: |
2014/5 |
| Owning Department/School: |
Department of Mathematical Sciences |
| Credits: |
6 |
| Level: |
Honours (FHEQ level 6) |
| Period: |
Semester 1
|
| Assessment Summary: |
EX 100% |
| Assessment Detail: | |
| Supplementary Assessment: |
MA30087 Mandatory extra work (where allowed by programme regulations)
|
| Requisites: |
Before taking this unit you must take MA10207 and take MA10210 |
| Description: |
Aims & Learning Objectives:
Aims:
To present methods of optimisation commonly used in OR, to explain their theoretical basis and give an appreciation of the variety of areas in which they are applicable.
Objectives:
On completing the course, students should be able to
* Recognise practical problems where optimisation methods can be used effectively
* Implement appropriate algorithms, and understand their procedures
* Understand the underlying theory of linear programming problems, especially duality.
Content:
The Nature of OR: Brief introduction.
Linear Programming: Basic solutions and the fundamental theorem. The simplex algorithm, two phase method for an initial solution. Interpretation of the optimal tableau. Applications of LP. Duality.
Topics selected from:
Sensitivity analysis and the dual simplex algorithm. Brief discussion of Karmarkar's method. The transportation problem and its applications, solution by Dantzig's method. Network flow problems, the Ford-Fulkerson theorem.
Non-linear Programming: Revision of classical Lagrangian methods. Kuhn-Tucker conditions, necessity and sufficiency. Illustration by application to quadratic programming.
|
| Programme availability: |
MA30087 is Optional on the following programmes:
Department of Biology & Biochemistry
Department of Computer Science
- USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 3)
- USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
- USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
- USCM-AAB14 : BSc(Hons) Computer Science with Mathematics with Study year abroad (Year 4)
- USCM-AKB14 : BSc(Hons) Computer Science with Mathematics with Year long work placement (Year 4)
- USCM-AFB01 : BSc Computing (Year 3)
- USCM-AKB01 : BSc Computing with Year long work placement (Year 4)
Department of Mathematical Sciences
- RSMA-AFM16 : Integrated PhD in Statistical Applied Mathematics
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
- USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
- USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
- TSMA-AFM17 : MRes Statistical Applied Mathematics
- TSMA-AFM09 : MSc Mathematical Sciences
- TSMA-APM09 : MSc Mathematical Sciences
- TSMA-AFM08 : MSc Modern Applications of Mathematics
- TSMA-AWM14 : MSc Modern Applications of Mathematics
- TSMA-AFM16 : MSc Statistical Applied Mathematics
- TSMA-AFL02 : PG Dip Modern Applications of Mathematics
- USMA-AFB05 : BSc(Hons) Statistics (Year 3)
- USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
- USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
Department of Physics
- USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 3)
- USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 4)
- USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 4)
- USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 4)
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