CSC - SY

This course is the extension of Operations Research I, it comprehends an introduction to Strategic Games Theory, Principles of Projects Planning, Nonlinear Optimization and the Theory of Administrative Decisions.

• Course Outline
• Part I: Introduction to Strategic Games Theory
• Part II: Principles of Networks Planning
• Part III: Nonlinear Optimization
• Part IV: Theory of Administrative Decisions
• Instructor
• Required Book
• Requirements

Course Outline
Here are the main topics of the course in 2006 - 2007:

Part I: Introduction to Strategic Games Theory
Introduces Game Theory, types and properties of strategic games, how to formulate the linear programming model of two-sides strategic game in order to obtain the optimum probabilistic distribution of player's strategies by implementing either by Simplex method or through geometric modeling approach.

Part II: Principles of Networks Planning
Shows how to simulate complex concurrent activities of a project by a network diagram, how to calculate the durations of activities, mark the critical path on the network, then discusses how to minimize the cost of the project by reconfiguring the durations of activities in the network which is done by mapping the network diagram to a linear programming model and solve it implementing Simplex method.

Part III: Nonlinear Optimization
Introduces the main forms of Nonlinear Programming Models, then discusses various methods to solve them including: gradation method, geometric modeling, stochastic method. it also shows how to find critical point(s) of a nonlinear function and how to decide its nature by studying Hessian Matrics, in addition, the use of Langrange multiplier and Extended Hessian Matrics to find the optimum solution of a nonlinear function under nonlinear constraints.

Part IV: Theory of Administrative Decisions
Introduces the theory, and rules for making the right decisions under different circumstances; Savage rule, Laplace rule, Hurwies rule... etc, also shows how to use decision trees to make the right decisions for complex projects.

Instructor
Dr. Haroon Ali

Required Book
Dr. Ibrahim Al-Ali, Introduction to Operations Research, Teshreen University Publications, 2003 - 2004.

Requirements

ActivitiesPercentage

Final Exam80%

Practice Test15%

Project5%