Lecturer : Lewis Fernanadese
Telephone Number : (04)2828793, (050)6352062
Email : lewism@eim.ae
Lecturer’s Consultation Times : 12.00 pm to 5.00 pm, all week days except Thursdays.
Credit points : 3 credit points
Contact hours per week : 2-hour lecture every Friday.
Lecture time : Sun 1.30 – 3.30 (See schedule to changes)
This course will survey selected deterministic and probabilistic models, their areas of application, and their solution methodologies. Emphasis will be on problem formulation, solution techniques, and output interpretation and analysis. Computer software will be used extensively for problem solutions.
Note: the content that follows is that which was taught for the last delivery, while the core of the course will remain the same, more emphasis will now be given to spreadsheet based solutions. Case studies will be taken up to suit the student requirements based on their field of work.
- What is Operations Research?
- Where OR is Used
- Models
- Reliability of Models
- Model Classification:
- Based on degree of Certainty, Structure, Function, Time of Reference
- Mathematical Optimization
- Linear Programming (LP)
- LP Problem Formulation Process and Its Applications
- Graphical Solution Method
- Analysis of the Feasible Area
- Cases on major application areas to which LP is applied:
- Blending
- Production planning
- Oil refinery management
- Distribution
- Financial and economic planning
- Manpower planning
- Sensitivity Analysis
- Using Excel Spreadsheet for Optimization.
- Optimization and Sensitivity analysis using Excel
- Solutions for more than two variables
- Integer Programming
- Decision Analysis
- Decision Under Uncertainty
- Laplace, Pessimism, optimism and Hurwicz
- Regret Analysis
Objectives:
- On completion of the course a student should be able to
- Know generally about functions, operation Research and where it can be applied.
- Learn about models and modeling process
- Understand and formulate real problems as linear or non-linear functions.
- Use excel as a tool to arrive at optimal solutions and perform sensitivity analysis.
- Know to perform Decision analysis under certainty or uncertainty.
We believe that the best way to learn Management science modeling concept is by working through examples. Modeling is integrated with functional areas of business like finance, marketing and operation Management. Real example taught from different areas of business will tap into the power of spreadsheet modeling. Emphasis will be given for students to acquire Skills of modeling rather than memorizations of models.
Note: Management Science is more often referred to Operation Research besides as Quantitative Methods, Quantitative techniques, Linear Programming and Decision Analysis and therefore you will find as many different book titles. You may refer to any book in our library but Operations Research by Taha is very popular and Practical Management Science by Winston is ideal for example based learning.
This subject has the following assessment components.
Assessment Items Percentage of Final Mark Due Dates 1. Assignments 60% See below 2. Final Examination 40% Examination Period
Assignments Percentage of final marks Submission Date (by the student) Assign 1 15% Week 3 Assign 2 15% Week 4 Assign 3 15% Week 5 Assign 4 15% Week 8
- All assessment items must be submitted. Optional assignments may be added to the list.
- Please note that marks may be scaled
- Assignments are to be submitted during your lecture/ tutorial. Penalties will apply to all late work, except in case of prolonged illness. You will be penalized al the rate 10% of the original, maximum, score for each week overdue.
- Assignments will be returned to students in the class.
- No assessment work will be accepted in electronic form.
- Plagiarism may result in a Fail grade being recorded for that assessment task. Working together is acceptable, but the final compilation should be the work of the individual student, as assessment is a measure of your ability
As assignments are to assess a student’s understanding of course material, each assignment must be solved using only material covered up to that point in the course (unless otherwise stated in the question).
Week Topic Remarks 1 Brief Intro to OR, Basic Math function, Graphs, Linear problem formulation Excel Graphs used 2 Linear programming problem formulation cont., decision Var., Constraints, Objective functions. 3 Graphical Method, Bounds, Area of and optimal Solution. Manual Graphs 4 Linear solution using the Excel Solver. LP more than 2 variable. Integer Programming. 5 Sensitivity Analysis. Applications. 6 OR revisited in General , Models and Modeling Theoretical 7 Decision analysis 8 Non Linear Programming and specific Application.