ISE 323 • Tüm Sınavlar • Operations Research II
Yeditepe Üniversitesi ISE 323 (Operations Research II) Midterm sınavına hazırlık paketi.
İşlenen konular: Counting, Axioms of Probability, Conditional Probability & Bayes' Theorem, Discrete Random Variables, Special Discrete Distributions, Continuous Random Variables, Special Continuous Distributions, Discrete Joint Distributions, Continuous Joint Distributions, Markov Chains, States and Steady-State Probabilities, Steady State Probability Applications.
Ayda 999 TL, peşin fiyatına 3 taksit
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
Counting
14 konu anlatımı
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example 1
Identical Objects Example 2
Identical Objects Example 3
Combination
n choose r
Committee Example 1
Committee Example 2
Ball Example 1
Ball Example 2
Axioms of Probability
11 konu anlatımı
Sample Space and Events
Probability
Axioms of Probability
Some Rules
Coin Example
Dice Example
Card Example 1
Card Example 2
Ball Example
Set Example
Birthday Example
Conditional Probability & Bayes' Theorem
14 konu anlatımı
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Discrete Random Variables
12 konu anlatımı
Random Variables
Probability Mass Function
PMF Example 1
PMF Example 2
Cumulative Distribution Function
CDF Example 1
Expected Value
Expected Value Example 1
Expected Value Example 2
Variance
Variance Example 1
Variance Example 2
Special Discrete Distributions
16 konu anlatımı
Discrete Uniform Distribution Part 1
Discrete Uniform Distribution Part 2
Example 1
Example 2
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 3
Example 4
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 5
Example 6
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 7
Example 8
Continuous Random Variables
9 konu anlatımı
Probability Density Function - PDF
Example 1
Cumulative Distribution Function - CDF
Example 2
Expected Value
Expected Value - Example 1
Expected Value - Example 2
Variance
Variance - Example 1
Special Continuous Distributions
12 konu anlatımı
Uniform Distribution
Example 1
Example 2
Exponential Distribution
Example 3
Example 4
Memoryless Property
Example 5
Normal Distribution
Standard Normal Distribution
Reading Z Table
Example 6
Discrete Joint Distributions
10 konu anlatımı
Probability Mass Function
PMF Example
Marginal PMF and CDF
Expected Value
Variance
Expected Value and Variance Example
Conditional PMF and CDF
Conditional Expectation
End of Topic Example - Part I
End of Topic Example - Part II
Continuous Joint Distributions
8 konu anlatımı
Introduction
Marginal PDF and CDF
Expected Value and Variance
Conditional PDF and CDF
Conditional Expectation
Example 1
Example 2
Example 3
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
States and Steady-State Probabilities
7 konu anlatımı
Steady State Distribution
Example
Classes and State Properties
Periodicity and Ergodic Markov Chains
Example
Example
Example
Steady State Probability Applications
5 konu anlatımı
First Passage Times
Example
Expected First Passage Time
Expected Recurrence Time
Example
Sample Exam Problems
45 soru
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Conditional Probability & Bayes' Theorem 1
Conditional Probability & Bayes' Theorem 2
Conditional Probability & Bayes' Theorem 3
Conditional Probability & Bayes' Theorem 4
Conditional Probability & Bayes' Theorem 5
Conditional Probability & Bayes' Theorem 6
Discrete Random Variables 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Discrete Random Variables 5
Special Discrete Distributions 1
Special Discrete Distributions 2
Special Discrete Distributions 3
Special Discrete Distributions 4
Special Discrete Distributions 5
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Special Continuous Distributions 1
Special Continuous Distributions 2
Special Continuous Distributions 3
Special Continuous Distributions 4
Special Continuous Distributions 5
Discrete Joint Distributions 1
Discrete Joint Distributions 2
Continuous Joint Distributions 1
Continuous Joint Distributions 2
Markov Chains 1
Markov Chains 2
Markov Chains 3
Markov Chains 4
States and Steady-State Probabilities 1
States and Steady-State Probabilities 2
States and Steady-State Probabilities 3
States and Steady-State Probabilities 4
States and Steady-State Probabilities 5
States and Steady-State Probabilities 6
States and Steady-State Probabilities 7
Steady State Probability Applications 1
Steady State Probability Applications 2
Absorbing Markov Chains
9 konu anlatımı
Absorbing Markov Chains
Matrix Structure
Inverse of a Matrix
Expected Number of State Visits
Example
Expected Time Until Absoption
Example
Absorption Probabilities
Example
Exponential Distribution & 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
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
Queueing Theory: Birth-Death
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 Theory: Basics and Exponential Queues
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
22 soru
Absorbing Markov Chains 1
Absorbing Markov Chains 2
Poisson Process 1
Poisson Process 2
Poisson Process 3
Poisson Process 4
Poisson Process 5
Poisson Process 6
Continuous Time Markov Chains 1
Continuous Time Markov Chains 2
Birth and Death 1
Birth and Death 2
Birth and Death 3
Birth and Death 4
Queueing Theory 1
Queueing Theory 2
Queueing Theory 3
Queueing Theory 4
Queueing Theory 5
Queueing Theory 6
Queueing Theory 7
Queueing Theory 8