TYPE OF COURSE UNIT | Compulsory Course |
LEVEL OF COURSE UNIT | Doctorate Of Science |
YEAR OF STUDY | - |
SEMESTER | - |
NUMBER OF ECTS CREDITS ALLOCATED | 10 |
NAME OF LECTURER(S) | Professor İmdat Kara
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LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students; 1) To have the theoretical knowledge about the Stochastic modeling techniques. 2) To be able to select the proper techniques during the analysis and design of of the queue systems those are encountered in the production and service processes. 3) To be able to choose the appropriate technique for the estimation of the parameters required to solve the problems. 4) To be able to use the proper technique for the planning and control of service enterprises.
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MODE OF DELIVERY | Face to face |
PRE-REQUISITES OF THE COURSE | No |
RECOMMENDED OPTIONAL PROGRAMME COMPONENT | None |
COURSE DEFINITION | |
COURSE CONTENTS | WEEK | TOPICS |
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1st Week | Probability spaces and classification of stochastic processes | 2nd Week | Bernoulli Processes | 3rd Week | Poisson Processes | 4th Week | Markov chains | 5th Week | Applications of Markov chains and Limit Theorems | 6th Week | Applications of Markov chains and Limit Theorems | 7th Week | Continuous-time Markov chains | 8th Week | Midterm | 9th Week | Continuous-time Markov chains | 10th Week | Renewal theory | 11th Week | Markovian renewal theory | 12th Week | Markovian renewal theory | 13th Week | Stochastic order relations | 14th Week | Stochastic order relations |
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RECOMENDED OR REQUIRED READING | (1) Ross, S. M. (1995). Stochastic Processes. New York. (2) J. Wiley Lawler, G.F. (2000), Introduction to Stochastic Processes, Chapmann&Hall/CRC Probability. (3) Papoulis, A., (1991). Probability, Random Variables and Stochastic Processes, Third edition, McGRAW-HILL International, Singapore.
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PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Experiment,Problem Solving,Questions/Answers,Lecture |
ASSESSMENT METHODS AND CRITERIA | | Quantity | Percentage(%) |
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Mid-term | 1 | 35 | Assignment | 1 | 8 | Project | 1 | 7 | Total(%) | | 50 | Contribution of In-term Studies to Overall Grade(%) | | 50 | Contribution of Final Examination to Overall Grade(%) | | 50 | Total(%) | | 100 |
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ECTS WORKLOAD |
Activities |
Number |
Hours |
Workload |
Midterm exam | 1 | 2 | 2 | Preparation for Quiz | | | | Individual or group work | 14 | 12 | 168 | Preparation for Final exam | 1 | 25 | 25 | Course hours | 14 | 3 | 42 | Preparation for Midterm exam | 1 | 25 | 25 | Laboratory (including preparation) | | | | Final exam | 1 | 2 | 2 | Homework | 2 | 14 | 28 | Total Workload | | | 292 |
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Total Workload / 30 | | | 9,73 |
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ECTS Credits of the Course | | | 10 |
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LANGUAGE OF INSTRUCTION | Turkish |
WORK PLACEMENT(S) | No |
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