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Operations Research

 Art of modeling and elements of decision models, Linear programming, Duality in linear programming, transportation problem, Integer linear programming, Introduction to graphs theory, Monte Carlo simulation, Random numbers generation, Project management (CPM, PERT)

Literature:

  1. T. Dennis, L. Dennis: Management Science, West Group 1991, ISBN 0314766448
  2. Hillier, Lieberman: Introduction to Operations Research, McGraw-Hill, 2001, ISBN  0072321695

News

Rules – pointing system (max. 100 points)

ECTS scoring system:

E >=50 points, etc. (only total sum plays role, no other constraints)

 

Seminars

Exam – calculation

Exam - Theory

Test: 20

Usually 2 or 3 tasks

Definitions: 5

Seminar work + presentation: 10+5

Task formulation: 5

Activity: 5

2 Complex questions: 15+15

Points total: 40

Points total: 20

Points total: 40

 

 

Seminar work submission: via email (dobiam1@fel.cvut.cz), prior to the end of semester (small groups of 2-3 students, application of optimization techniques, details will be specified in the middle of semester)

Seminar assessment: accepted seminar work, 50% presence

  1. Operations research overview
  2. Linear programming - introduction, graphic solution
  3. Linear programming - simplex method
  4. Linear programming - dual problem
  5. Linear programming - sensitivity and parametric analysis
  6. Transportation problem - applications, methods of solution
  7. Integer linear programming
  8. Graph theory - overview
  9. Graph theory - optimization tasks
  10. Monte Carlo simulations
  11. Random numbers generation
  12. Project management - CPM
  13. Project management - PERT methods
  14. Project management - analysis of resources and costs
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  1. Operations research introduction
  2. Mathematical programming, Lagrange method
  3. Graphical solution of linear programming tasks
  4. Simplex method, dual problem solution
  5. Practical application of linear programming, software support
  6. Transportation problem
  7. Branch and bound method
  8. Tasks on graphs
  9. Graph optimization methods
  10. Random numbers generation, Monte Carlo simulation
  11. Test
  12. Project management - CPM
  13. Project management - PERT, resource analysis
  14. Dynamic programming - resource allocation
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