| Statuss(Aktīvs) | Izdruka | Arhīvs(0) | Studiju plāns Vecais plāns | Kursu katalogs | Vēsture |
| Course title | Methods of Operations Research |
| Course code | InfT3030 |
| Credit points (ECTS) | 3 |
| Total Hours in Course | 81 |
| Number of hours for lectures | 8 |
| Number of hours for seminars and practical classes | 24 |
| Independent study hours | 49 |
| Date of course confirmation | 10/03/2021 |
| Responsible Unit | Institute of Computer Systems and Data Science |
| Course developers | |
| Mg. paed., lekt. Jeļena Koroļova |
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| There is no prerequisite knowledge required for this course | |
| Course abstract | |
| Students study the Operations Research methods for decision-making, acquire practical skills in Mathematical Programming (Linear Programming, Integer Programming and Integer Nonlinear Programming), modelling with MS Excel optimization tool Solver, Project Management software MS Office Project and a comparison of alternatives by The Analytic Hierarchy Process. | |
| Learning outcomes and their assessment | |
| After completing the course student will have:
Knowledge about Operations Research methods for decision planning and making management with computer (tests, home works and practical works); Skills - build the mathematical models with MS Excel and MS Project for operations research and decision making with AHP (tests, home works and practical works); Competence – knowledge and ability for optimal and environmental safety decision planning and making process with Information Technologies (tests, home works and practical works). |
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| Course Content(Calendar) | |
| 1. Introduction. Mathematical Programming. Classification of methods. [L- 1 h]
2. Linear programming (LP) and MS Excel Solver. Use of limited resources for profit (income) maximization. [L- 1 h ; P – 4 h] 3. Linear programming (LP) and MS Excel Solver. Use of limited resources for cost (time) minimization. [L- 1 h; P – 4 h] 4. Integer linear programming and MS Excel Solver. Optimization of the use of production resources. [L- 1 h; P – 2 h] 5. Integer nonlinear programming (INLP) with MS Excel Solver. Optimization of the use of production resources. [L – 1 h; P – 2 h] 6. 1st test (LP, IP, INLP). [2 h] 7. Network models for managing processes or projects. Critical Path Method (CPM). Project execution time risk assessment with Program Evaluation and Review Techniques (PERT). [L- 1 h; P – 2 h] 8. Linear programming in project networks for cost optimization. [L- 1 h; P – 2 h] 9. Introduction to the MS Office Project app for project or process planning. [P – 1 h] 10. 2nd test (CPM, LP networks). [2 h] 11. The Analytical Hierarchy Process (AHP) for solving forest engineering problems. [L- 1 h; P – 1 h] 12. The defence of individual and independent work - the application of the AHP method. [2 h] |
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| Requirements for awarding credit points | |
| Successfully passed the exam with a grade at least 40% of the course total score. | |
| Description of the organization and tasks of students’ independent work | |
| Tasks for the independent work are included in e-studies (http://estudijas.llu.lv). There is one independent and individual work in the semester. | |
| Criteria for Evaluating Learning Outcomes | |
| The grade "Passed" depends on the cumulative grade of the semester: two tests (70 %) and individual homework (30 %) ratings. 2. Students who are mostly studying independently, or wish to improve the cumulative assessment take the written formal test (70 %). Individual homework assessment (30 %) will also be taken into account. | |
| Compulsory reading | |
| 1. Hamdy A. Taha Operations research: an introduction. 10 edition. Harlow, England: Pearson Education 2017. 843 p.
2. Hamdy A. Taha Operations research: an introduction. 9 edition. Upper Saddle River, N.J. : Pearson Education/Prentice Hall, 2011. 824 p. 3. Frolova L. Matemātiskā modelēšana ekonomikā un menedžmentā. Rīga: Izglītības soļi, 2005. 438 lpp. 4. Koroļova J. Lekciju konspekti, laboratorijas darbu uzdevumi un papildmateriāli. http://estudijas.llu.lv |
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| Further reading | |
| 1. Peļņa M., Gulbe M. Optimizācijas uzdevumi ekonomikā. Rīga: Datorzinību centrs, 2003. 160 lpp.
2. Praude V., Beļcikovs J. Loģistika. Rīga: Vaidelote, 2003. 541 lpp. 3. Moore J.H., Weatherford L.R. Decision modelling with Microsoft Excel. Prentice Hall, 2001. 1020 p |
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| Periodicals and other sources | |
| E-žurnāls "Operation Research" [tiešsaiste]. eISSN: 1526-5463 (Online) [Skatīts 20.10.2025.] Pieejams: https://pubsonline.informs.org/journal/opre | |
| Notes | |
| The study course is included in the professional higher education bachelor's study program "Forest Engineer". | |