Linear Programming (MAE631K)

Undergraduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Undergraduate
Course Code	ΜΑΕ631K
Semester	6
Course Title	Linear Programming
Independent Teaching Activities	Lectures (Weekly Teaching Hours: 3, Credits: 6)
Course Type	Special Background
Prerequisite Courses	-
Language of Instruction and Examinations	Greek
Is the Course Offered to Erasmus Students	Yes
Course Website (URL)	See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes	The course learning outcomes are: the introduction of the students to linear programming formulation, the comprehension of the mathematical properties of linear programming problems, the understanding of the theory underlying the simplex algorithm, the understanding of the dual theory and its interpretation, the use of LINDO software package to solve linear programming problems. Upon successful completion of the course the student will be able to: to model linear programming problems. to solve linear programming problems with the Simplex method. to apply the appropriate modifications of Simplex method when it is necessary. to validate and interpret the results obtained when linear programming problems are solved using LINDO software.
General Competences	Working independently Decision-making Adapting to new situations Production of free, creative and inductive thinking Synthesis of data and information, with the use of the necessary technology.

Syllabus

Linear programming problems formulation
Graphical solution
The Simplex Method
The Big M method
The Two-Phase Simplex Method
Dual theory
Sensitivity analysis
Transportation problem
Assignment problem

Teaching and Learning Methods - Evaluation

Delivery

Face-to-face

Use of Information and Communications Technology

Lindo Software, Email, class web

Teaching Methods

Activity	Semester Workload
Lectures	39
Independent study	78
Fieldwork (3-4 set of homework)	33
Course total	150

Student Performance Evaluation

LANGUAGE OF EVALUATION: Greek
METHODS OF EVALUATION: Final exam (100%)

Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

Βασιλείου Β. και Τσαντας Ν., Εισαγωγή Στην Επιχειρησιακή Έρευνα, Εκδόσεις Ζητη 2000.
Κολετσος Κ., Στογιαννης Δ. Επιχειρησιακή Έρευνα Θεωρία, Αλγόριθμοι Και Εφαρμογές, Εκδόσεις, Συμεών, 2021.
Κουνιας Σ. και Φακινος Φ., Γραμμικός Προγραμματισμός, Εκδόσεις Ζητη, Θεσσαλονίκη 1999.
Παπαρριζος Π., Γραμμικός Προγραμματισμός. Εκδόσεις Ζυγός, Θεσσαλονίκη 1999.
Σισκος Γ., Γραμμικός Προγραμματισμός, Εκδόσεις Νέων Τεχνολογιών, Αθήνα 1998.
Υψηλαντης Π. Μέθοδοι και Τεχνικές Λήψης Αποφάσεων, Εκδόσεις Προπομπός, 2015.
Φακινου Δ. Και Οικονομου Α., Εισαγωγή Στην Επιχειρησιακή Έρευνα- Θεωρία Και Ασκήσεις, Αθήνα 2003.
Βertsimas D. And J. N. Τsitsiklis Introduction to Linear Optimization, Athena Scientific, 1997.
Κουνετάς, Κ., Χατζησταμούλου, Ν., 2015. Εισαγωγή Στην Επιχειρησιακή Έρευνα Και Στον Γραμμικό Προγραμματισμό. Λύσεις Προβλημάτων Με Το Πρόγραμμα R. [Ηλεκτρ. Βιβλ.] Αθήνα: Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών. Διαθέσιμο Στο: Http://Hdl.Handle.Net/11419/5699.
Gass S. Linear Programming Methods and Applications, Mcgraw-Hill 1985.
Hadley G. Linear Programming, Addison-Wesley Publishing Company, Inc, 1965.
Hillier F. S. And G. J. Lieberman Introduction Operations Research. The Mcgraw-Hill Companies, 2001.
RardinL. R. Βελτιστοποίηση στην Επιχειρησιακή Έρευνα, ΕκδοσειςΚλειδαριθμος, 2022.
TahaH., Εισαγωγή Στην Επιχειρησιακή Έρευνα, 10η Έκδοση, Eκδόσεις Α. Τζιολα & YιοιA.E., 2017.
Winston W. L., Operations Research (Applications And Algorithms). Duxbury Press (International Thomson Publishing) 1994.
[Περιοδικό / Journal] Mathematical Programming Journal, Series A and Series B.
[Περιοδικό / Journal] INFORMS Transactions on Education (ITE).