Course Information
TitleΜΑΘΗΜ. ΜΕΘΟΔΟΙ ΣΤΗΝ ΕΠΙΧΕΙΡ. ΕΡΕΥΝΑ / Mathematical Methods in Operational Research
Code0504
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorAlexandra Papadopoulou
CommonNo
StatusActive
Course ID40000522

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course425.5

Class Information
Academic Year2019 – 2020
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
600147721
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Elements of Probability and Linear Algebra
Learning Outcomes
Learning and analysing basic knowledge of the theory of stochastic processes. Analysis of basic stochastic models. Solving mathematical problems using theoretical tools. Modelling real problems by applying stochastic tools
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Make decisions
  • Work autonomously
  • Design and manage projects
  • Advance free, creative and causative thinking
Course Content (Syllabus)
What is a stochastic process. Markov property. Definition of the discrete time Markov chain. Classification of the states. Description of the evolution of the Markov chain through time. Mean first passage times. Probabilities of the waiting times. Asymptotic behaviour of the discrete Markov chain. Definition of the continuous time Markov chain. Transition rates. Kolmogorov equations. Asymptotic behaviour of the continuous Markov chain Poisson processes and compound Poisson process. Elements of the theory of queues.
Keywords
Markov chains, Poisson processes, Limiting behaviour, Queues
Educational Material Types
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures421.4
Reading Assigment702.3
Exams30.1
homework501.7
Total1655.5
Student Assessment
Description
Written examination
Student Assessment methods
  • Written Exam with Extended Answer Questions (Formative, Summative)
  • Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Στοχαστικές Μέθοδοι στις Επιχειρησιακές Ερευνες, Π.-Χ. Γ. Βασιλείου, Ζήτη, 2000. - Στοχαστικά Μοντέλα στην Επιχειρησιακή Ερευνα : Θεωρία και Εφαρμογές, Δ. Φακίνος, Συμμετρία, 2007. - Εισαγωγή στην Επιχειρησιακή Ερευνα Θεωρία και Ασκήσεις, Δ. Φακίνος, Α. Οικονόμου, Συμμετρία, 2003. - Εισαγωγή στις Στοχαστικές Ανελίξεις, Ο. Χρυσαφίνου, Σοφία A.E., 2004.
Additional bibliography for study
Markov Chains, Gibbs Fields, Monte Carlo Simulation, and Queues, Bremaud, Pierre, Springer, 1999. Finite Markov Chains, Kemeny, John G., Snell, J. Laurie, Springer, 1976
Last Update
04-06-2019