IE 325 • Tüm Sınavlar • Stochastic Models
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Eğitmen
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Konular
Probability Review
9 konu anlatımı
Counting and Probability
Conditional Probability and Independence
Bayes' Rule
Discrete Random Variables
Continuous Random Variables
Expected Value and Variance
Bernoulli and Binomial Distributions
Continuous Uniform Distribution
Exponential Distribution
QUIZ 1 PRACTICE PROBLEMS
18 soru
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Markov Chains
8 konu anlatımı
What is a Markov Chain?
One-Step Transition Probabilities
Example
n-Step Transition Probabilities
Chapman-Kolmogorov Equations
Example
Unconditional State Probabilities
Example
Limiting Probabilities and State Classifications
7 konu anlatımı
Steady State Distribution
Example
Classes and State Properties
Periodicity and Ergodic Markov Chains
Example
Example
Example
First-step Analysis
5 konu anlatımı
First Passage Times
Example
Expected First Passage Time
Expected Recurrence Time
Example
Absorbing Markov Chains
9 konu anlatımı
What is an Absorbing MC?
Absorption Probabilities
Example
Probability of Ever Visiting a State
Example
Expected Number of State Visits
Example
Expected Time Until Absoption
Example
Poisson Processes
13 konu anlatımı
Counting Processes
Assumptions of Poisson Processes
Example 1
Memoryless Property
Example 2
Minimum of Exponential Random Variables
Example 3
Thinning
Example 4
Superposition
Example 5
Non-homogenous Poisson Processes
Example 6
Exam Practice: Abi en basitten al soruları!
17 soru
Probability Review 1
Probability Review 2
Markov Chains 1
Markov Chains 2
Markov Chains 3
Markov Chains 4
Limiting Probabilities and State Classifications 1
Limiting Probabilities and State Classifications 2
Limiting Probabilities and State Classifications 3
Limiting Probabilities and State Classifications 4
Limiting Probabilities and State Classifications 5
First-step Analysis 1
First-step Analysis 2
Absorbing Markov Chains
Poisson Processes 1
Poisson Processes 2
Poisson Processes 3
Exam Practice: Konuları anladım zorla beni sorularla!
24 soru
Probability Review 1
Probability Review 2
Probability Review 3
Markov Chains 1
Markov Chains 2
Markov Chains 3
Markov Chains 4
Markov Chains 5
Markov Chains 6
Limiting Probabilities and State Classifications 1
Limiting Probabilities and State Classifications 2
Limiting Probabilities and State Classifications 3
Limiting Probabilities and State Classifications 4
Limiting Probabilities and State Classifications 5
First-step Analysis 1
First-step Analysis 2
First-step Analysis 3
First-step Analysis 4
First-step Analysis 5
Absorbing Markov Chains
Poisson Processes 1
Poisson Processes 2
Poisson Processes 3
Poisson Processes 4
Continuous Time Markov Chains
9 konu anlatımı
From Discrete to Continuous
Example 1
Example 2
Example 3
Steady State Distribution
Q Matrix
Example 4
Example 5
Example 6
Birth-and-Death Processes
11 konu anlatımı
A subproblem of CTMC
Random Rates, Finite Chain
Example 1
Random Rates, Infinite Chain
Example 2
Equal Rates, Infinite Chain, Single Server
Example 3
Equal Rates, Finite Chain, Single Server
Example 4
Equal Rates, Finite Chain, Multiple Servers
Example 5
Queueing Models
10 konu anlatımı
Kendall's Notation
Terminology
M/M/1 Queue
Example 1
M/M/s Queue
Example 2
M/M/1/K Queue
Example 3
M/M/s/K Queue
Example 4
Sample Final Problems
23 soru
Continuous Time Markov Chains 1
Continuous Time Markov Chains 2
Continuous Time Markov Chains 3
Birth and Death 1
Birth and Death 2
Birth and Death 3
Birth and Death 4
Birth and Death 5
Birth and Death 6
Birth and Death 7
Birth and Death 8
Queueing Models 1
Queueing Models 2
Queueing Models 3
Queueing Models 4
Queueing Models 5
Queueing Models 6
Queueing Models 7
Queueing Models 8
Queueing Models 9
Queueing Models 10
Queueing Models 11
Queueing Models 12