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IE 521
INDUSTRIAL SYSTEMS OPTIMIZATION I
Course Description
Techniques for analysis and solution of problems in industrial and management systems. Emphasis on application of linear and integer programming and extensions.
Topics
- Introduction to linear programming (LP)
- The simplex method
- The two-phase and big-M methods for LP problems
- Duality and sensitivity analysis
- Integer programming
Learning Outcomes
The student, upon completion of this course, will be able to:
- Describe (identify/write) the underlying concepts of linear programming that can be used to model complex decision problems for identifying an optimal solution.
- Develop the theory behind simplex method for solving linear programming problems.management, including those for quantity discounts, safety stocks, and order quantity and reorder point interactions.
- Show how the two-phase and big-M methods can be used to solve linear programming problems that involve equality and/or greater-than-or-equal to constraints.
- Develop the theory for dual problems, and establish the relationships to its primal counterpart.
- Show how sensitivity analysis can be used to investigate into the changes to one or more model parameters.
- Demonstrate the importance of general, binary, and mixed-integer problems, and show how they can be implicitly solved using branch-and-bound algorithms.
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