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Optimization, Modeling and Planning, 6 credits
Optimering, modellering och planering, 6 hp
TNSL05
Main field of study
Applied Mathematics LogisticsCourse level
First cycleCourse type
Programme courseExaminer
Joakim EkströmDirector of studies or equivalent
Erik BergfeldtEducation components
Preliminary scheduled hours: 50 hRecommended self-study hours: 110 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6KFTL | Air Transportation and Logistics, Bachelor's Programme | 3 (Autumn 2017) | 2 | 1 | Swedish | Norrköping, Norrköping | C |
| 6KLOG | Civic Logistics, Bachelor´s Programme | 3 (Autumn 2017) | 2 | 1 | Swedish | Norrköping, Norrköping | C |
Main field of study
Applied Mathematics, LogisticsCourse level
First cycleAdvancement level
G2XCourse offered for
- Air Transportation and Logistics, Bachelor's Programme
- Civic Logistics, Bachelor´s Programme
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Basic courses in Math Analyses, Algebra and Logistics.Intended learning outcomes
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
- have the knowledge on how to formulate and analyze optimization models in economic applications.
- understand the basic mathematical theories that are the foundation for models and algorithms.
- Analyze and understand sensitivity analyses for linear programming problems and network problems
- be able to use and draw conclusions from optmization methods for linear programming, especially the Simplex method, for integer prrogramming, especially tree-search methods, and network/graph based methods.
Course content
The course covers the following areas:
- Introduction to mathematical modelling
- Introduction to algortihms for optimization
- Classification of problems
- Optimality conditions
- Modelling of linear programming problems
- Methods for linear programming problems (basic solution concept)
- Sensitivity analyses
- Network modelling
- Basic problem types and methods for network problems (shortest path and minimum cost flow problems)
- Integer programming problems modelling
Teaching and working methods
The lectures introduce concepts and methods. Lessons are used for exercises and computer laborations are used for solving larger optimization models.
Examination
UPG1 Group assignments 2 credits U, G LAB1 Laboratory work 2 credits U, G TEN1 Written examination 2 credits U, 3, 4, 5 Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Institutionen för teknik och naturvetenskapDirector of Studies or equivalent
Erik BergfeldtExaminer
Joakim EkströmEducation components
Preliminary scheduled hours: 50 h
Recommended self-study hours: 110 hCourse literature
Additional literature
Books
- Henningsson, Lundgren, Rönnqvist, Värbrand,, Optimeringslära: övningsbok 2:a uppl
ISBN: 91-44-06760-7 - Lundgren, Jan, Author, Rönnqvist, Mikael, Author, Värbrand, Peter, Author, Linköpings universitet, Institutionen för teknik och naturvetenskap, Originator, Linköpings universitet, Tekniska högskolan, Originator, Linköpings universitet, Matematiska institutionen, Optimeringslära, Originator, (2003) Optimeringslära
Lund: Studentlitteratur, 2003.
- Henningsson, Lundgren, Rönnqvist, Värbrand,, Optimeringslära: övningsbok 2:a uppl
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| UPG1 | Group assignments | 2 credits | U, G |
| LAB1 | Laboratory work | 2 credits | U, G |
| TEN1 | Written examination | 2 credits | U, 3, 4, 5 |
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
Additional literature
Books
Henningsson, Lundgren, Rönnqvist, Värbrand,, Optimeringslära: övningsbok 2:a uppl
ISBN: 91-44-06760-7
Lundgren, Jan, Author, Rönnqvist, Mikael, Author, Värbrand, Peter, Author, Linköpings universitet, Institutionen för teknik och naturvetenskap, Originator, Linköpings universitet, Tekniska högskolan, Originator, Linköpings universitet, Matematiska institutionen, Optimeringslära, Originator, (2003) Optimeringslära
Lund: Studentlitteratur, 2003.
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
X
|
X
|
X
|
LAB1
TEN1
UPG1
|
||
| 1.2 Fundamental engineering knowledge (G1X level) |
|
|
|
|||
| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
X
|
X
|
X
|
LAB1
TEN1
UPG1
|
||
| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
|
|
|
|||
| 1.5 Insight into current research and development work |
|
|
|
|||
| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
X
|
X
|
X
|
LAB1
UPG1
|
||
| 2.2 Experimentation, investigation, and knowledge discovery |
|
|
|
|||
| 2.3 System thinking |
X
|
X
|
X
|
LAB1
TEN1
UPG1
|
||
| 2.4 Attitudes, thought, and learning |
|
|
|
|||
| 2.5 Ethics, equity, and other responsibilities |
|
|
|
|||
| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
|
|
X
|
LAB1
UPG1
|
||
| 3.2 Communications |
|
|
X
|
LAB1
UPG1
|
||
| 3.3 Communication in foreign languages |
|
|
|
|||
| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
X
|
|
|
|||
| 4.2 Enterprise and business context |
|
|
X
|
|||
| 4.3 Conceiving, system engineering and management |
|
X
|
X
|
LAB1
TEN1
|
||
| 4.4 Designing |
|
|
|
|||
| 4.5 Implementing |
|
|
|
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| 4.6 Operating |
|
|
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| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
|
|
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| 5.2 Economic conditions for knowledge development |
|
|
|
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| 5.3 Identification of needs, structuring and planning of research or development projects |
|
|
|
|||
| 5.4 Execution of research or development projects |
|
|
|
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| 5.5 Presentation and evaluation of research or development projects |
|
|
|
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