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6IC7S1
Course Title: Operational research

TCSAA

Operational research

Credits : 4 ECTS

TCS31

Duration : 30 hours

Credits : 4 ECTS 

Semester: S7

Person(s) in charge :

Henri Amet, Associate professor; Frédéric Sur, Associate professor, henri.amet@mines-nancy.univ-lorraine.fr, frederic.sur@mines-nancy.univ-lorraine.fr 

Keywords : Graphs, linear programming, dynamic programming, stochastic

Prerequisites : none

Objectives: Knowing the main models of operational research

Content :

This course aims to provide the fundamentals of operational research, a science that gives powerful means of modelling as well as practical methods to solve a large panel of industrial issues. Operational research is thus naturally transverse.

The following points will be tackled:

• Introduction to linear programming

• Simplex algorithm

• Post-optimal analysis and stability

• Duality

• Introduction to graphs

• Routing problems – fixed point

• PERT and potential scheduling

• Dynamic programming

• Dynamic stochastic programming

• Complexity of the problems

• Markov chains

• Waiting phenomena

Abilities:   

Levels

 Description and operationnal verbs

Know 

The main models in operations research

Understand 

The essential algorithms, and the underlying theoretical difficulties

Apply 

Applying these models and algorithms

Analyse 

Analysing the problems that are written in "natural language", and determine the most appropriate method to obtain the best results

Summarise

 

Evaluate

 

Evaluations :

  •  Written test
  •  Continuous Control
  •  Oral report
  •  Project
  •  Written Report