INDE 3001 • Tüm Sınavlar • Operations Research III
Işık Üniversitesi INDE 3001 (Operations Research III) Midterm sınavına hazırlık paketi.
İşlenen konular: Markov Chains and First-Step Analysis, Long Run Behavior of Markov Chains, Absorbing Markov Chains.
Ayda 866 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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Probability Review
4 konu anlatımı
Random Variables and Probability Distributions
Conditional Probability
Total Probability Rule
Expected Value
Markov Chains and First-Step Analysis
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
Long Run Behavior of Markov Chains
12 konu anlatımı
Steady State Distribution
Example
Classes and State Properties
Periodicity and Ergodic Markov Chains
Example
Example
Example
First Passage Times
Example
Expected First Passage Time
Expected Recurrence Time
Example
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
Sample Midterm Problems
22 soru
Probability Review 1
Probability Review 2
Probability Review 3
Markov Chains 1
Markov Chains 2
Markov Chains 3
Markov Chains 4
Long Run Behavior of Markov Chains 1
Long Run Behavior of Markov Chains 2
Long Run Behavior of Markov Chains 3
Long Run Behavior of Markov Chains 4
Long Run Behavior of Markov Chains 5
Long Run Behavior of Markov Chains 6
Long Run Behavior of Markov Chains 7
Long Run Behavior of Markov Chains 8
Long Run Behavior of Markov Chains 9
Absorbing Markov Chains 1
Absorbing Markov Chains 2
Applications in Inventory Models 1
Applications in Inventory Models 2
Applications in Inventory Models 3
Applications in Inventory Models 4
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
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 Theory
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 Exam Problems
21 soru
Poisson Processes 1
Poisson Processes 2
Poisson Processes 3
Poisson Processes 4
Poisson Processes 5
Poisson Processes 6
Poisson Processes 7
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