Mathematical Methods in Operational Research

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

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

Registered students: 279
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course425.5

Class Information
Academic Year2015 – 2016
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Language of Instruction
  • Greek (Instruction, Examination)
General Prerequisites
Elements of Probability and Linear Algebra
Learning Outcomes
Εκμάθηση βασικών γνώσεων της θεωρίας ανανέωσης και ανάλυση εξιδικευμένων στοχαστικών μοντέλων. Επίλυση μαθηματικών προβλημάτων με την βοήθεια των θεωρητικών εργαλείων. Εξάσκηση στη μοντελοποίηση με στοχαστικα εργαλεία. Learning and analysing basic knowledge of the theory of stochastic processes and specific stochastic models. Solving mathematical problems using theoretical tools. Practising to modelling 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
  • Design and manage projects
  • Advance free, creative and causative thinking
Course Content (Syllabus)
What is a stochastic process. Queuing Theory: birth-death processes.Some well-known queuing systems. Markov Chains: n-step transition probabilities. Classification of states. Steady-state probabilities and mean first passage times. Absorbing chains. Poisson processes. Elements of queueing theory.
Markov processes, Poisson processes, steady state, queues
Educational Material Types
  • Book
Course Organization
Student Assessment
Written examination
Student Assessment methods
  • Written Exam with Problem Solving (Formative, Summative)
Course Bibliography (Eudoxus)
- Στοχαστικές Μέθοδοι στις Επιχειρησιακές Έρευνες, Π.-Χ. Βασιλείου. - Στοχαστικά Μοντέλα στην Επιχειρησιακή Έρευνα, Δ. Φακίνου. - Εισαγωγή στην Επιχειρησιακή Έρευνα Θεωρία και Ασκήσεις, Δ. Φακίνου, Α. Οικονόμου
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