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Umeå University

Integer Programming

The course consists of two elements. Element 1 (6.0 credits): *Mathematical theory for integer optimisation.* This element provides specialised knowledge of optimisation. Particular focus is placed on the properties of integer programmes and techniques used to solve these. Methods include dynamic programming, bra…

  • Higher education
  • Information unavailable
  • 25 March 2027
  • Information unavailable
  • Information unavailable
  • 50 %

Overview

The course consists of two elements. Element 1 (6.0 credits): *Mathematical theory for integer optimisation.* This element provides specialised knowledge of optimisation. Particular focus is placed on the properties of integer programmes and techniques used to solve these. Methods include dynamic programming, branch-and-bound and cutting planes. Different families of cutting planes are studied and utilised to solve and provide stronger formulations of integer problems. Heuristics for finding good upper and lower bounds of the objective function are discussed, including greedy techniques and linear program or Lagrangian relaxation. The concepts of convex hull and total unimodularity are discussed. An introduction is given to complexity theory, with examples of problems of different complexity classes.   Element 2 (1.5 credits): *Computer lab work.* In this element, computers are used to implement and apply some technique for integer optimisation.

Admission scores

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Entry requirements

The course requires 90 ECTS including 15 ECTS in Computer Programming, a course in Linear Algebra and a course in Linear Programming. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies.

The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.

Source, measure and data quality
Source
Skolverket Susa-navet
Period
2027-03-25
Measure
Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
Population
Education offering e.uoh.umu.5ma177.58008.20271
Last checked
2026-09-23T10:39:35.037285+00:00
Limitation
Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.

Programme content

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Study structure

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Application and important dates

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  2. Programme or course ends

Salary and salary distribution

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Common occupations after graduation

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Students

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Geographical background

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Previous upper-secondary schools and programmes

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Completion and outcomes

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About the provider

Umeå University

Provider for the published education offering.

Sources and data quality

Education facts for the selected offering come from Skolverket Susa-navet.

Retrieved . Published . Times are shown in Swedish local time.

Source identity and publication version
Publication version
8e217193-f5fa-4778-b085-a4521fd03e8d
Education identity in the source
i.uoh.umu.5ma177.58008.20271
Offering identity in the source
e.uoh.umu.5ma177.58008.20271
Education-form source code
HS
Education code in the source
5MA177
Change time according to the source
2025-12-11T08:04:37

The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.