Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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About the Program Educational Objectives Key Learning Outcomes Course Structure Diagram with Credits Field Qualifications Matrix of Course& Program Qualifications Matrix of Program Outcomes&Field Qualifications
  • Graduate School of Sciences
  • Department of Industrial Engineering
  • (Non-Thesis) Master of Science (MS) Degree
  • Course Structure Diagram with Credits
  • Advanced Techniques in Linear Programming
  • Learning Outcomes
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

  • develop linear programming (LP) models for real-life decision making problems.
  • explains the fundamentals, assumptions and components of LP.
  • formulate the decision making problems with DP linearization techniques.
  • formulates the decision making problems using LP methods.
  • will be able to explain mathematical essentials of LP.
  • solves the LP problems with two variables using graphical method.
  • determines the existence of feasibility in the permit space.
  • finds solution by using the Fourier-Motzkin method.
  • proves whether a given set is convex or concave.
  • proves whether a given function is convex, concave, or neither.
  • expresses the polyhedral sets as a combination of extreme points and extreme directions.
  • use simplex algorithm and variations, and evaluates the results.
  • explains the approach and theory of the simplex algorithm.
  • arranges the initial simplex tableau and solves the LP model.
  • solves the LP problem using revised simplex algorithm
  • evaluates the obtained results from the simplex tableau.
  • evaluates the obtained results from the simplex tableau.
  • interpret the duality in linear programming and make the sensitivity analysis.
  • formulates the dual of the primal model.
  • interprets the dual variables (shadow prices).
  • solves the LP problem using the dual simplex method.
  • investigates the effects on the changes in the optimal solution with sensitivity analysis.
  • uses computer softwares for solving LP models and evaluates the output reports making technical and financial analysis.
  • will be able to discuss optimality conditions.
  • uses the Farkas Theorem.
  • shows the Karush-Kuhn-Tucker optimality conditions
  • solve multicriteria LP problems with goal programming approach.
  • formulates a multicriteria LP problem with the aid of goal programming.
  • applies weighted and preemptive goal programming models.
  • solves linear goal programming problem using computer softwares and interprets the obtained results.
  • compare the efficiencies of decision making units using data envelopment analysis (DEA).
  • develops the LP models for decision making units.
  • determines the efficient and inefficient units solving the LP models.
  • makes recommendations for changes in resource inputs or outputs for inefficient units using the appropriate reference set of efficient units.
  • prepare a term project that may be on a theoretical subject, an application, an algorithm or a software implementation within the context of the LP.
  • finds and arranges information from different sources related to the chosen project.
  • writes a report by using report writing guideline.
  • makes an oral presentation of the project in class.

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