Title of Course:
Operational Research (Elementary)
In Persian (تحقیق در عملیات 1)
Class Time: Saturday and Monday 13:00-15:00.
Each Sunday 15:00-17:00 the students are invited to join us for checking homework .
Lecturer: Dr. Mehdi Ghatee
Teacher Assistant: Miss Fateme Asadi
I will update this page during the semester, would you have any trouble accessing them, please let me know by email.
The aim of this course is to present the application of mathematical and scientific methods to solve certain classes of problem in the design and management of large or complex systems found in business, industry and government. Typical problems involve deciding how to make the most effective use of limited resources such as people, machines, money and time. Frequently mathematical and computer representations of problems are used to solve them. OR courses teach the basic techniques used in solving resource management problems and discuss the most common areas of application. The basic techniques of OR can be grouped broadly into two classes, namely optimization methods such as linear programming (which may be used to minimise costs, for example), and modelling techniques like computer simulation and forecasting. Application areas include: inventory control (what should a supermarket stock, in what quantities, when should goods be re-ordered and in what quantities), transportation problems (how to manage a fleet of trucks), scheduling problems (constructing duty rosters for airline crews), games and competition (bidding for contracts, political campaigns), production planning (e.g. how often to produce batches of ice-cream, whether a single long production line is better than two parallel lines), queueing problems (what sort of customer queueing system should be set up in a bank, number of tellers operating in various situations), reliability (how long does equipment function, when should it be serviced or replaced), location problems (e.g. where to place warehouses) and quality control (ensuring that good quality goods are produced).
- Modeling real problems
- To study the basic tools for quantitative methods for decision making including linear programming algorithms
1- D.G. Luenberger, Y. Ye, Linear and Nonlinear Programming, 2008.
2- M.S. Bazaraa, J.J. Jarvis, H.D. Sherali, Linear Programming and Network Flows, 2003.
1- Introduction (What is OR?) (Section 1 of Text Book)
2- Modeling (Section 2 of Text Book)
3- Linear Programming Algorithms (Section 3 of Text Book)
4- Duality (Section 4 of Text Book)
5- Transportation (Section 5 of Text Book)
6- Advanced Topics in Linear Programming (Section 7 of Text Book)
Topics of Projects (Team-Work):
1- Modeling a Real Problem
3- Solving a Linear Programming Model with a sotware
4- A manuscript on Advanced OR Topics
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