OPERATIONS RESEARCH METHODOLOGIES
Διδάσκοντας/ουσα:
Κωδικός Μαθήματος:
IΙ-5
Τύπος Μαθήματος:
Υποχρεωτικό Μάθημα Κατεύθυνσης
Έτος Σπουδών:
Α'
Εξάμηνο Σπουδών:
Χειμερινό
Αριθμός Πιστωτικών Μονάδων (ECTS):
6
Γλώσσα Διδασκαλίας:
Greek
Περιγραφή:
The purpose of the course is to provide students with knowledge of basic mathematical programming tools for decision-making in management and operations systems.
Προαπαιτήσεις:
None
Περιεχόμενο του μαθήματος (Syllabus):
- Introduction to operations research.
- Linear programming.
- Modelling.
- Simplex method.
- Big M method.
- Duality, sensitivity analysis.
- IOR Tutorial and Excel Solver.
- Network optimization, graphs and networks.
- The shortest path, minimum spanning trees.
- Maximum flow problem, minimal cost flow problem.
- Dynamic Programming.
- System Reliability.
- Elements of stochastic modelling.
Συνιστώμενη Βιβλιογραφία προς μελέτη:
Α) Suggested bibliography:
F.S. Hillier, G. J. Lieberman, Introduction to Operations Research, 8th edition, Mc Graw-Hill International Edition
Β)Related academic journals:
Operations Research: Applications and Algorithms
W. L. Winston
Duxbury Press, 2003
ISBN 978-0534380588
1440 Pages
Linear Programming
J.P. Ignizio, T.M. Cavalier
Prentice Hall, 1993
ISBN 978-0131837575
666 Pages
Operations Research: Principles and Practice
A. Ravindran, D.T. Philips, J.J. Solberg
Wiley, 1987
ISBN 978-0471086086
656 Pages
Linear Programming and Network Flows
M. S. Bazaraa, J.J. Jarvis, H.D. Sherall
Wiley, 1990
ISBN
684 Pages
Introduction to Operations Research Techniques
H. G. Daellenbach, J. A. George
Allyn and Bacon, 1983
ISBN 978-0205079742
750 Pages
Model Building in Mathematical Programming
H. P. Williams
Wiley, 1999
ISBN 978-0471997887
368 Pages
An Introduction to Management Science: Quantitative Approaches to Decision Making
D.R. Anderson, D.J. Sweeney, T.A. Williams, J.D. Camm, R.K. Martin
South-Western College Pub, 2011
ISBN 978- 1111532222
896 Pages
Tools for Thinking: Modelling in Management Science
M. Pidd
Wiley, 2003
ISBN 978-0470847954
332 Pages
Introduction to Management Science
B.W. Taylor,
Prentice Hall, 2009
ISBN 978-0136064367
840 Pages
A. Practical Introduction to Management Science
D.A. Waters
Addison Wesley Publishing Company, 1998
ISBN 978-0201178470
584 Pages
Introduction to Stochastic Processes,
E. Cinlar,
Prentice-Hall, Engenwood Cliffs, 1975
Probability and Statistics with Reliability, Queuing, and Computer Science Applications
K.S. Trivedi
Wiley-Interscience, 2002
ISBN 978-0471333418
830 Pages
Introduction to Probability Models
S.M. Ross
Academic Press, 2009
ISBN 978-0123756862
800 Pages
Διδακτικές και Μαθησιακές Μέθοδοι:
Distance learning (ΒΒΒ και Moodle)
Use of ICT in teaching, use of specific software
Μέθοδοι αξιολόγησης / βαθμολόγησης:
- Essay writing 40% of final grade
- Final examination 60% of Final grade
Αντικειμενικοί Στόχοι μαθήματος (επιδιωκόμενα μαθησιακά αποτελέσματα):
After the successful completion of the course, the student will have:
- to know and understand the basic concepts of mathematical programming theory.
- to know and understand the basic concepts of mathematical modelling.
- to be in position to recognize and classify problems into different categories, i.e., linear programming, integer programming, etc.
- to perform the modelling of mathematical programming problems.
- to be able to solve efficiently linear programming models
- to recognize and apply the appropriate tools for solving linear programming problems.
- to analyze, recognize and apply the most suitable methodologies and respective algorithms to solve particular linear programming cases.
- To know and understand the basic concepts of Reliability Modelling.
- To know and understand the basic concepts of Reliability, Availability and Maintainability measures
- To perform the modelling of Reliability Engineering problems
- To be in position to perform computations of Reliability, Availability and Maintainability
- To recognize, understand and apply the appropriate tools for solving Reliability Engineering problems
- to know and understand the basic concepts of dynamic programming theory
- to be able to solve efficiently dynamic programming problems
Περίγραμμα του Μαθήματος:
