TNSL05 · 6 credits · Basic level (G2F) · Tillämpad matematik, Logistik
Optimization, Modeling and Planning
Active · next start HT 2026
37%
passed the latest ordinary exam
TEN1 · 12 Jan 2026 · 30 students
36%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 188 students
97%
Harder than 97% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 59 students.
Part of 2 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
36% passed · 188 students
- 37%30
- 38%29
- 26%39
- 41%46
- 39%44
Re-exams
31% passed · 170 students
- 40%15
- 23%22
- 0%7
- 30%20
- 13%23
- 14%22
- 64%11
- 47%15
- 47%15
- 40%20
- Pass the re-exam: 31% (170 students), compared with 36% (188 students) on the ordinary exam
- Get 4 or 5: 10% (358 students)
Show small sittings (5)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
- 100%1
- 100%1
- 100%1
- 100%1
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
UPG1 Group assignments
- G
- U
Main rounds
77% passed · 123 students
- 75%12
- 60%15
- 86%14
- 63%19
- 100%24
- 58%24
- 100%15
Later rounds
93% passed · 61 students
- 33%6
- 100%8
- 100%12
- 100%8
- 100%6
- 100%6
- 100%8
- 100%7
- Pass a later round: 93% (61 students), compared with 77% (123 students) on the ordinary exam
Show small sittings (3)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%4
- 100%2
- 100%4
Hand-in or lab
LAB1 Laboratory work
- G
- U
Main rounds
98% passed · 107 students
- 93%27
- 100%44
- 100%36
Later rounds
71% passed · 65 students
- 100%11
- 100%22
- 100%11
- 0%6
- 0%7
- 25%8
- Pass a later round: 71% (65 students), compared with 98% (107 students) on the ordinary exam
Show small sittings (7)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 0%2
- 100%2
- 100%2
- 100%2
- 100%2
- 100%4
- 100%4
About the course
Aim
This course gives an introduction to operations reseach, in particular modelling and solving linear programming problems, optimization problems with network structures and integer programming proglems. The application focus is on models related to logistics and supply chain management. After completed course the students shall
- Analyze, formulate and solve linear optimization problems in economical applications
- Analyze, formulate and solve optimization problems with a network structure in transportation applications
- Analyze and formulate basic integer optimization problems
- Analyze and draw conclusions for linear optimization problems and optimization problems iwith a network structure
- Understand the basic mathematical theory, that forms the basis for models and alorithms
- Draw conclusions from optimization methods for linear optimization problems (Simplex method) and for optimization problems with a network structrure (Network simplex)
Content
The course covers the following areas:
- Introduction to mathematical modelling
- Introduction to algorithms for optimization
- Optimality conditions
- Modelling of linear programming problems
- Methods for linear programming problems (Simplex method)
- Sensitivity analyses
- Modelling of linear problems with a network structure (shortest path problems and minimum cost flow problems)
- Methods for linear problems with a network structure (Network simplex)
- Methods for a minimum spanning tree
- Basics of modelling integer problems
- Examiner
- Stefan Engevall
- Scheduled hours
- 50 h
- Main field of study
- Tillämpad matematik, Logistik