Course Details

Operational and System Analysis

Academic Year 2025/26

NPA017 course is part of 1 study plan

​ NPC-SIV Winter Semester 1st year

Course Guarantor

doc. Ing. Jaroslav Raclavský, Ph.D.

Institute

Institute of Municipal Water Management

Language of instruction

Czech

Credits

6 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/295717

Lecture

13 weeks, 2 hours/week, elective

Syllabus

  • 1. Subject of operational and system analysis, basic terms and types of problems.
  • 2. Linear programming – Simplex method.
  • 3. Dual problem of linear programming, specific problems of linear programming.
  • 4. Transportation problem – solving by MODI method.
  • 5. Non-linear programming, method of objective function linearization.
  • 6. Non-linear programming – Lagrange method.
  • 7. Polyoptimal problems, pareto solving techniques.
  • 8. Combinatorial problems, bivalent programming.
  • 9. Graph theory, minimum graph frame and minimum graph trace.
  • 10. Network analysis – methods of project control.
  • 11. Dynamic programming.
  • 12. Neural networks, genetic algorithms.
  • 13. Risk analysis.

Exercise

13 weeks, 3 hours/week, compulsory

Syllabus

  • 1. Excel SOLVER.
  • 2. Linear programming – methods of graphical solution.
  • 3. Linear programming – Simplex method – Excel SOLVER.
  • 4. Dual problem of linear programming – Excel SOLVER.
  • 5. Distriubution problem – Excel SOLVER.
  • 6. Non-linear programming – Lagrange method.
  • 7. Non-linear programming – Lagrange method.
  • 8. Combinatorial methods – method Monte-Carlo.
  • 9. MS Project software tool.
  • 10. Graph theory – Critical Path Method.
  • 11. MS Project – project management.
  • 12. MS Project – project management.
  • 13. Credit.