Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-51-11-M-7

Planar Location Theory (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-51-11-M-7 Planar Location Theory 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-OPT] Optimisation
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
4V+2U MAT-51-11-K-7
Planar Location Theory
P 84 h 186 h - - PL1 9.0 irreg.
  • About [MAT-51-11-K-7]: Title: "Planar Location Theory"; Presence-Time: 84 h; Self-Study: 186 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86281 ("Planar Location Theory")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

The basics of planar location theory will be acquired. Current research topics, in which the students can play an active role, will be introduced in the last part of the course.

The following topics are treated:

  • classification of location problems,
  • theory and simulation algorithms depending on the distance functions,
  • location problems with restrictions and barriers,
  • multicriteria location problems,
  • advanced location models and research topics.

Competencies / intended learning achievements

Upon successful completion of this module, the students have acquired a good overview on the established methods to solve planar location problems. These planar location problems are of particular importance for various applications in industry and society. The sudents have learned to classify the problems and to critically evaluate the possibilities and limitations of algorithms. They have been introduced to current research topics.

By completing the given exercises, the students have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture. Moreover, they have learnt how to apply these techniques to new problems, analyze them and develop solution strategies.

Literature

  • H. Hamacher: Mathematische Lösungsverfahren für planare Standortprobleme,
  • R.F. Love, J.G. Morris, G.O. Wesolowski: Facilities location,
  • R.L. Francis, F. McGinnis, J.A. White: Facility Layout and location,
  • S. Nickel, J. Puerto: Location Theory: A Unified Approach.

Requirements for attendance of the module (informal)

Depending on the focus, additional knowledge from the course [MAT-50-11-K-4] is required.

Modules:

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MAT-51-11-M-7]

Module-Pool Name
[MAT-52-MPOOL-7] Specialisation Mathematical Optimisation (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)