Optimization, Regression and Forecasting

Compentency	Fundamental theories and computational methodologies used in (computer aided) optimization analysis, productivity analysis, forecasting techniques, regression and correlation analysis, management, scheduling and aggregate planning
Module type	elective module
Semester	winter
Site	Cairo (GUC)
Language	English
Workload	120 hours course attendance; 130 hours self-study
Credits points	10
Recommended qualifications	none

Linear and Non-Linear Optimization

After the successful participation in the course Linear and Non-Linear Optimization the students are able to

Knowledge and Understanding:
- identify the objective function, the holonomic and nonholonomic constrains
- form the Lagrangian function and solve for the optimal variables and Lagrange multipliers
- form the Hessian matrix and analyze the second order sufficiency conditions of the optimization problem
- compare between optimization techniques such as the gradient descent method, Gauss-Newton method and the Levenberg-Marquardt method
Intellectual Skills:
- formulation of the optimization problem through the ability to distinguish between the objective functions and the constrains
- ability to solve the optimization numerically
- ability to select the appropriate optimization problem based on the constrains and the dynamics of the process

After the successful participation in the course Production and Operations Management the students are able to

Knowledge and Understanding:
- define productivity analysis and its application
- describe different forecasting techniques
- describe regression techniques
- describe inventory techniques
- explain aggregate planning
- define project scheduling
Professional and Practical skills:
- predict new demands of the globally competitive business environment emphasize the importance of change, facilitation of learning, cross-functional teamwork, knowledge capture, and analysis in manufacturing organizations
- submit a course project, in which the project process of initiating, planning, executing, controlling and closing the project is applied through case studies
Intellectual Skills:
- develop an understanding of the strategic importance of manufacturing systems, production and operations systems
- recognize the relationship between manufacturing and related service providers and other business functions, such as human resources, purchasing, marketing, finance, etc.
- calculate forecasts using different techniques
- apply qualitative and quantitative methods of inventory models
- apply proactive and reactive planning strategies
- calculating the timing of the use of different resources in an organization
General and Transferrable skills:
- employ critical thinking to solve problems in area of quality control
- practice independent learning required to build up knowledge base
- work in teams