The module introduces the operational research approach for modelling and solving engineering and management problems.
Prerequisites: MATH1054 OR MATH1055
Aims and Objectives
Having successfully completed this module you will be able to:
- Demonstrate knowledge and understanding of operational research techniques for simulation, production scheduling, project management, queueing analysis, simulation, inventory control and decision analysis
- Analyse and solve some managerial problems in engineering with some of the common operational research methods and techniques
- Utilise suitable mathematical methods to solve these models
- Demonstrate writing skills
- Develop and run computer simulation models
- Build models for simple problems in managerial decision making
- Structure practical problems
1. Discrete Event Simulation: design of a simulation model and programme, input modelling including random number generation and random variable generation, output analysis, design of simulation experiments, simulation modelling using the Simul8 software.
2. Production Scheduling: Types of scheduling models, various algorithms for single machine scheduling, list scheduling for parallel machine scheduling, Johnson’s algorithm for flow shop
scheduling, use of heuristic methods.
3. Project Management: Network representation of engineering projects, Critical Path Method for scheduling a project, project scheduling with limited resources, crashing project completion
4. Queuing Theory: dynamics of a queueing system, modelling of some typical basic queues, evaluating average queue length and waiting time.
5. Decision Analysis: pay-off table for one-off decisions and discussion of decision criteria, use of decision trees for more complex environments, decision making based on sampling (with
Bayes Theorem used to calculate posterior probabilities).
6. Inventory Models: the Economic Order Quantity model, including sensitivity analysis, economic production lot size model, quantity discount models, Wagner-Whitin model for
Learning and Teaching
Teaching and learning methods
The module will be taught using a combination of lectures and computer workshops.
|Total study time||150|
Resources & Reading list
D.R. Anderson, D.J Sweeney, , T.A. Williams (2008). An Introduction to Management Science: Quantitative Approaches to Decision Making. South-Western College Publishing.
M Pidd (2004). Computer Simulation in Management Science.. Wiley.
Summative assessment description
Referral assessment description
Repeat type: Internal & External