OPERATIONS RESEARCH II

 Title ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΕΡΕΥΝΑ ΙΙ / OPERATIONS RESEARCH II Code 221 Faculty Engineering School Mechanical Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Georgios Tagaras Common Yes Status Active Course ID 20000308

Programme of Study: UPS of School of Mechanical Engineering

Registered students: 7
OrientationAttendance TypeSemesterYearECTS
EnergyElective Courses belonging to the other745
Design and StructuresElective Courses belonging to the other745
Industrial ManagementCompulsory Course belonging to the selected specialization (Compulsory Specialization Course)745

 Academic Year 2020 – 2021 Class Period Winter Faculty Instructors Weekly Hours 4 Class ID 600170957
Course Type 2016-2020
• Background
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
• Distance learning
Digital Course Content
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
General Prerequisites
A good working knowledge of probability theory and random variables is very desirable and useful.
Learning Outcomes
The course presents the theoretical basics and practical applications of stochastic methods of operations research. The specific objective for the students is to understand the basic concepts of stochastic processes - Markov chains and queuing theory and to be able to apply them for solving relevant problems.
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work autonomously
• Advance free, creative and causative thinking
Course Content (Syllabus)
Stochastic processes and discrete-time Markov chains: classification of states, long-run properties. Markovian processes with rewards, control and otimization. Applications in inventory control and maintenance management. Continuous-time Markov chains, birth-and-death processes. Queuing theory: classes and examples of queuing phenomena. Markovian queuing models with a single or multiple servers, finite or infinite queue, finite or infinite population. Priority in service queues. Queuing networks. Optimisation of queuing systems.
Keywords
Stochastic processes, Queueing
Educational Material Types
• Notes
• Video lectures
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
Part of the lectures and final exams through Skype for Business and Zoom. Notes, announcements and general information about the course are available at eLearning (https://elearning.auth.gr/course/view.php?id=7423).
Course Organization
Lectures521.7
Written assigments130.4
Exams50.2
Total1505
Student Assessment
Description
The final grade M is a combination of the grades in the final written examination (T), the midterm examination (Π) and the project/homework (E) as follows: • If either Τ < 4,5 or (Τ+Π)/2 < 4, then the final grade is Μ = (0,8)Τ. • In every other case the final grade is Μ = max {(0,6)Τ + (0,3)Π + (0,2)Ε, (0,8)T}.
Student Assessment methods
• Written Exam with Short Answer Questions (Summative)
• Written Assignment (Summative)
• Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Βασιλείου, Π.-Χ. Γ. "Στοχαστικές μέθοδοι στις επιχειρησιακές έρευνες", εκδ. Ζήτη, Θεσσαλονίκη, 1999. 2. Μπερτσεκάς, Δ.Π. και Τσιτσικλής, Γ.Ν. "Εισαγωγή στις πιθανότητες", εκδ. Τζιόλα, Θεσσαλονίκη, 2010. 3. Χρυσαφίνου, Ο. "Εισαγωγή στις στοχαστικές ανελίξεις", εκδ. Σοφία, Θεσσαλονίκη, 2012. 4. Taha, H.A. "Επιχειρησιακή έρευνα", εκδ. Τζιόλα, Θεσσαλονίκη, 2017. 5. Hillier, F.S. and Lieberman, G.J. "Εισαγωγή στην επιχειρησιακή έρευνα", εκδ. Τζιόλα, Θεσσαλονίκη, 2017.
Last Update
25-09-2020