12971 - Operations Research for Environmental and Resource Management Modulübersicht

Module Number: 12971
Module Title:Operations Research for Environmental and Resource Management
  Operations Research für Umwelt- und Ressourcenmanagement
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Fügenschuh, Armin
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 6
Learning Outcome:Students get familiar with basic concepts of mathematical optimization (in particular, linear, nonlinear, and mixed-integer optimization) and graph theoretic concepts. They will gain the ability to formalize an applied optimization problem e.g. from the field of environmental sciences and resource management and solve them with mathematical means, and will know how use computer software (modeling languages and solvers) to formulate and solve optimization problems.
Contents:Graphs, algorithmic problems on graphs (shortest path, spanning trees, Steiner trees, maximum flow, minimum cut, assignment, coloring, and others), Dantzig's simplex linear optimization method, non-linear optimization methods, integer optimization methods, multi-criteria (multi-objective) optimization, stochastic optimization, robust optimization, bilevel optimization, modeling languages to formulate optimization problems, analysis of case studies e.g. from the field of environmental sciences and resource management.
Recommended Prerequisites:Knowledge of the contend of modules
  • 11110 : Mathematics of Engineering I
  • 11111 : Mathematics of Engineering II
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 3 Hours per Week per Semester
  • Exercise / 1 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:
  • S. Nickel, O. Stein: Operations Research, Springer Verlag, 2014.
  • W. Domschke, A. Drexl: Einführung in Operations Research, 9. Aufl., Springer-Gabler Verlag, 2015.
  • V. Chvatal: Linear Programming, W.H. Freeman & Co, 1983. (Englisch)
Further might be announced by the lecturer at the beginning of the course.
Module Examination:Continuous Assessment (MCA)
Assessment Mode for Module Examination:
  • 4 written examinations, 30 minutes each, of which the best 3 contribute to the final module grade with a weighting of 1/3 each
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • Master (research-oriented) / Energietechnik und Energiewirtschaft / PO 2021
  • Bachelor (research-oriented) / Environmental and Resource Management / PO 2015
  • Master (research-oriented) / Environmental and Resource Management / PO 2011
  • Master (research-oriented) - Double Degree / Environmental and Resource Management / PO 2021
  • Master (research-oriented) / Environmental and Resource Management / PO 2021
  • Master (research-oriented) / Physics / PO 2021
  • Abschluss im Ausland / Wirtschaftsingenieurwesen / keine PO
Remarks:
  • Study programme Environmental and Resource Management B.Sc.: Compulsory elective module
  • Study programme Environmental and Resource Management M.Sc.: Compulsory elective module
  • Study programme Physics M. Sc.: Compulsory elective module in complex „Minor Subject“
Module Components:
  • Lecture: Operations Research for Environmental and Resource Management
  • Accompanying exercise
  • Related examination
Components to be offered in the Current Semester:
  • no assignment