Optimization, Modeling and Planning, 6 credits

Optimering, modellering och planering, 6 hp

TNSL05

Main field of study

Applied Mathematics Logistics

Course level

First cycle

Course type

Programme course

Examiner

Joakim Ekström

Director of studies or equivalent

Erik Bergfeldt

Education components

Preliminary scheduled hours: 50 h
Recommended 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 2018) 2 1 Swedish Norrköping C
6KLOG Civic Logistics, Bachelor's Programme 3 (Autumn 2018) 2 1 Swedish Norrköping C

Main field of study

Applied Mathematics, Logistics

Course level

First cycle

Advancement level

G2X

Course 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

    TEN1Written examination2 creditsU, 3, 4, 5
    LAB1Laboratory work2 creditsU, G
    UPG1Group assignments2 creditsU, G

    Grades

    Four-grade scale, LiU, U, 3, 4, 5

    Department

    Institutionen för teknik och naturvetenskap

    Director of Studies or equivalent

    Erik Bergfeldt

    Examiner

    Joakim Ekström

    Education components

    Preliminary scheduled hours: 50 h
    Recommended self-study hours: 110 h

    Course 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.
Code Name Scope Grading scale
TEN1 Written examination 2 credits U, 3, 4, 5
LAB1 Laboratory work 2 credits U, G
UPG1 Group assignments 2 credits U, G

Course syllabus

A syllabus has been established for each course. The syllabus specifies the aim and contents of the course, and the prior knowledge that a student must have in order to be able to benefit from the course.

Timetabling

Courses are timetabled after a decision has been made for this course concerning its assignment to a timetable module. A central timetable is not drawn up for courses with fewer than five participants. Most project courses do not have a central timetable.

Interrupting a course

The vice-chancellor’s decision concerning regulations for registration, deregistration and reporting results (Dnr LiU-2015-01241) states that interruptions in study are to be recorded in Ladok. Thus, all students who do not participate in a course for which they have registered must record the interruption, such that the registration on the course can be removed. Deregistration from a course is carried out using a web-based form: www.lith.liu.se/for-studenter/kurskomplettering?l=sv. 

Cancelled courses

Courses with few participants (fewer than 10) may be cancelled or organised in a manner that differs from that stated in the course syllabus. The board of studies is to deliberate and decide whether a course is to be cancelled or changed from the course syllabus. 

Regulations relating to examinations and examiners 

Details are given in a decision in the university’s rule book: http://styrdokument.liu.se/Regelsamling/VisaBeslut/622678.

Forms of examination

Examination

Written and oral examinations are held at least three times a year: once immediately after the end of the course, once in August, and once (usually) in one of the re-examination periods. Examinations held at other times are to follow a decision of the board of studies.

Principles for examination scheduling for courses that follow the study periods:

  • courses given in VT1 are examined for the first time in March, with re-examination in June and August
  • courses given in VT2 are examined for the first time in May, with re-examination in August and October
  • courses given in HT1 are examined for the first time in October, with re-examination in January and August
  • courses given in HT2 are examined for the first time in January, with re-examination at Easter and in August.

The examination schedule is based on the structure of timetable modules, but there may be deviations from this, mainly in the case of courses that are studied and examined for several programmes and in lower grades (i.e. 1 and 2). 

  • Examinations for courses that the board of studies has decided are to be held in alternate years are held only three times during the year in which the course is given.
  • Examinations for courses that are cancelled or rescheduled such that they are not given in one or several years are held three times during the year that immediately follows the course, with examination scheduling that corresponds to the scheduling that was in force before the course was cancelled or rescheduled.
  • If teaching is no longer given for a course, three examination occurrences are held during the immediately subsequent year, while examinations are at the same time held for any replacement course that is given, or alternatively in association with other re-examination opportunities. Furthermore, an examination is held on one further occasion during the next subsequent year, unless the board of studies determines otherwise.
  • If a course is given during several periods of the year (for programmes, or on different occasions for different programmes) the board or boards of studies determine together the scheduling and frequency of re-examination occasions.

Registration for examination

In order to take an examination, a student must register in advance at the Student Portal during the registration period, which opens 30 days before the date of the examination and closes 10 days before it. Candidates are informed of the location of the examination by email, four days in advance. Students who have not registered for an examination run the risk of being refused admittance to the examination, if space is not available.

Symbols used in the examination registration system:

  ** denotes that the examination is being given for the penultimate time.

  * denotes that the examination is being given for the last time.

Code of conduct for students during examinations

Details are given in a decision in the university’s rule book: http://styrdokument.liu.se/Regelsamling/VisaBeslut/622682.

Retakes for higher grade

Students at the Institute of Technology at LiU have the right to retake written examinations and computer-based examinations in an attempt to achieve a higher grade. This is valid for all examination components with code “TEN” and "DAT". The same right may not be exercised for other examination components, unless otherwise specified in the course syllabus.

Retakes of other forms of examination

Regulations concerning retakes of other forms of examination than written examinations and computer-based examinations are given in the LiU regulations for examinations and examiners, http://styrdokument.liu.se/Regelsamling/VisaBeslut/622678.

Plagiarism

For examinations that involve the writing of reports, in cases in which it can be assumed that the student has had access to other sources (such as during project work, writing essays, etc.), the material submitted must be prepared in accordance with principles for acceptable practice when referring to sources (references or quotations for which the source is specified) when the text, images, ideas, data, etc. of other people are used. It is also to be made clear whether the author has reused his or her own text, images, ideas, data, etc. from previous examinations.

A failure to specify such sources may be regarded as attempted deception during examination.

Attempts to cheat

In the event of a suspected attempt by a student to cheat during an examination, or when study performance is to be assessed as specified in Chapter 10 of the Higher Education Ordinance, the examiner is to report this to the disciplinary board of the university. Possible consequences for the student are suspension from study and a formal warning. More information is available at https://www.student.liu.se/studenttjanster/lagar-regler-rattigheter?l=sv.

Grades

The grades that are preferably to be used are Fail (U), Pass (3), Pass not without distinction (4) and Pass with distinction (5). Courses under the auspices of the faculty board of the Faculty of Science and Engineering (Institute of Technology) are to be given special attention in this regard.

  1. Grades U, 3, 4, 5 are to be awarded for courses that have written examinations.
  2. Grades Fail (U) and Pass (G) may be awarded for courses with a large degree of practical components such as laboratory work, project work and group work.

Examination components

  1. Grades U, 3, 4, 5 are to be awarded for written examinations (TEN).
  2. Grades Fail (U) and Pass (G) are to be used for undergraduate projects and other independent work.
  3. Examination components for which the grades Fail (U) and Pass (G) may be awarded are laboratory work (LAB), project work (PRA), preparatory written examination (KTR), oral examination (MUN), computer-based examination (DAT), home assignment (HEM), and assignment (UPG).
  4. Students receive grades either Fail (U) or Pass (G) for other examination components in which the examination criteria are satisfied principally through active attendance such as other examination (ANN), tutorial group (BAS) or examination item (MOM).

The examination results for a student are reported at the relevant department.

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. 

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

                            
4.6 Operating

                            
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

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. Click on a file to download and open it.

Name File name Description
Undervisningsplan 2018 Undervisningsplan 2018.pdf
Kursinfo_2018 Kursinfo_2018.pdf
Parindelning Parindelning.xlsx
Föreläsning1 Föreläsning1.pdf
Föreläsning2 Föreläsning2.pdf
Föreläsning3 Föreläsning3.pdf
Föreläsning4 Föreläsning4.pdf
Föreläsning4 Föreläsning4.pdf
Errata Errata.pdf
Föreläsning5 Föreläsning5.pdf
TNSL05_HT2_2018_Grupuppgift1 TNSL05_HT2_2018_Grupuppgift1.pdf
Föreläsning6 Föreläsning6.pdf
Föreläsning8 Föreläsning8.pdf
Lektion_simplex Lektion_simplex.pdf
Föreläsning9 Föreläsning9.pdf
TNSL05_HT2_2018_Grupuppgift3 TNSL05_HT2_2018_Grupuppgift3.pdf
Föreläsning10 Föreläsning10.pdf
ten_20180110_svar ten_20180110_svar.pdf
ten_20180406_svar ten_20180406_svar.pdf
ten_20160116_lösning ten_20160116_lösning.pdf
ten_20160401_lösningsförslag ten_20160401_lösningsförslag.pdf
ten_20180110 ten_20180110.pdf
ten_20170421_svar ten_20170421_svar.pdf
ten_20160401 ten_20160401.pdf
ten_20180830 ten_20180830.pdf
ten_20180830_svar ten_20180830_svar.pdf
ten_20160825_lösning ten_20160825_lösning.pdf
ten_20170114 ten_20170114.pdf
ten_20180406 ten_20180406.pdf
ten_20170114_svar ten_20170114_svar.pdf
ten_20160825 ten_20160825.pdf
ten_20160116_slutversion ten_20160116_slutversion.pdf
ten_20170421 ten_20170421.pdf
ten_20170824_lösning ten_20170824_lösning.pdf
ten_20170824 ten_20170824.pdf
Föreläsning10_känslighetsanalys Föreläsning10_känslighetsanalys.pdf
ten_20190115 ten_20190115.pdf
ten_20190115_svar ten_20190115_svar.pdf