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Modeling of Wood Processing

Course developer

Course abstract

Within this course, insights about the basics of modelling and optimisation and their significance during the production and design of a product. Specifics and limitations of modelling of technological processes in wood processing are analysed. Students are introduced with different modelling tasks in the shape of linear and non-linear programming tasks.

Learning outcomes and their assessment

Knowledge.
Recognize, explain and understand concepts of mathematical modelling and optimisation. Being familiar with specifics and limitations of modelling wood processing processes.
Assessment: test.
Skills.
To compile and solve typical optimisation problems.
Assessment: test.
Competence.
Assess factors to be included in mathematical model, individually choose contents and type of mathematical model and approbate its results in production.

Course Content(Calendar)

1. Basic terminology of modelling and optimisation.
2. Basics of mathematical economics.
3. Determination of optimal parameters of different structures and products.
4. Basic principles of mathematical models. Structure of mathematical models and designations.
5. Criterion of optimality choice.
6. Questionnaire. Statistical analysis of results.
7. Technological constraints of wood processing technology. Linear optimisation models.
8. Technological constraints of wood processing technology. Linear optimisation models.
9. Test No. 1. Determination of parameters of structures and products. Linear programming.
10. Optimisation of transportation flows.
11. Optimisation of plate material cutting.
12. Optimisation of plate material cutting.
13. Types of linear programming problems and solving methods.
14. Non-linear programming.
15. Solving of optimisation problems by means of graphical analysis.
16. Test No. 2. Transport and non-linear programming problems.

Requirements for awarding credit points

• Attendance – no less than 75%.
• Grade in both tests and practical assignement.

Description of the organization and tasks of students’ independent work

Total amount of independent work: 48h.
Within that, 16 hours are allocated for seminārs and practical assignements.
For individual work - 16 hours.

Criteria for Evaluating Learning Outcomes

Test No. 1
Student is presented with sketch of a furniture and its requirements. Student determines the dimensions of load bearing parts.
Grade consists of the following:
Correct solution of the mathematical model – 60%.
Integration of the solution to the sketch – 40%.
Test No. 2
Student is presented with bill of materiāls for a product produced from plate materiāls, available material resources and technological constraints.
Student compiles the plan for optimal cutting of the parts.
Grade consists of the following:
Correct solution of the mathematical model – 60%.
Correct incoorporation of constraints and the preperation of the plan for production – 40%.

Compulsory reading

1. Deksnis G. Optimizācija un lēmumu pieņemšana. Daugavpils: Saule, 2007. 133 lpp.
2. Sadirbajevs F. Ievads optimizācijā. Daugavpils: Saule, 2003. 87 lpp.
3. Frolova L. Optimizācijas teorija. Rīga: LU, 2001. 112 lpp. 4. Raitums U. Optimizācijas metodes. Rīga: LU, 2002. 83 lpp.
4. Smardzewski J. Furniture design. London: Springer, 2015. 652 lpp.
5. Kļavinš D. Optimizācijas metodes ekonomikā. Rīga: Datorzinību centrs, 2003. 271 lpp

Further reading

1. Modelling the Wood Chain Forestry-Wood Industry-WOOD Products Markets. Conference Proceedings: COST Action E44, Helsinki, 2007. 183 p.

Periodicals and other sources

1. Starptautisks žurnāls "Baltijas koks": ISSN 1407-6667.
2. Starptautisks žurnāls "Baltic Forestry": ISSN 1392-1355.
3. Žurnāls "Forest Product Journal": ISSN 0015-7473.