IE 341 • Midterm II + Final • Simulation

Introduction

Linear Congruential Method

LCM Example

Characteristic of a Good Generator

Full Period

Full Period Example

Maximum Period

Maximum Period Example

Maximum Period 2

Maximum Period Example 2

Combined Linear Congruential Generator

Combined Linear Congruential Generator Example

Test for Random Number

Autocorrelation

Autocorrelation Example

Introduction

Inverse Transform Method

Inverse Transform Method T/F Example

Inverse Transform Method-Example

Emprical Distribution

Emprical Distribution Example

Frequency Distribution

Frequency Distribution Example

Random Number Generation Question 1

Random Number Generation Question 2

Random Number Generation Question 3

Random Number Generation Question 4

Random Number Generation Question 5

Random Number Generation Question 6

Random Number Generation Question 7

Random Number Generation Question 8

Random Number Generation Question 9

Inverse Transform Method- Exponential 1

Inverse Transform Method- Exponential 2

Inverse Transform Method- Exponential 3

Inverse Transform Method- Uniform 1

Inverse Transform Method- Uniform 2

Inverse Transform Method- Uniform 3

Inverse Transform Method- with a given distribution 1

Inverse Transform Method- with a given distribution 2

Inverse Transform Method- with a given distribution 3

Inverse Transform Method- discrete 1

Inverse Transform Method- discrete 2

Inverse Transform Method- discrete 3

Inverse Transform Method- Binomial

Inverse Transform Method -Normal

Inverse Transform Method Mixed Question

Inverse Transform Method + Basic Rejection Technique Mixed Question

Hand Simulation + Random Variate Generation Question 1

Hand Simulation + Random Variate Generation Question 2

Hand Simulation + Random Variate Generation Question 3 (Monte Carlo Simulation)

Emprical Distribution Question 1

Emprical Distribution Question 2

Emprical Distribution Question 3

Emprical Distribution Question 4

Emprical Frequency Distribution Question 1

Emprical Frequency Distribution Question 2

Introduction

Reminder 1

Reminder 2

Method of Moment

Example 1 -Method of Moments (Exponential)

Example 2- Method of Moments (Normal)

Maximum Likelihood Estimation

Example 3 - Maximum Likelihood (Exponential)

Example 4- Maximum Likelihood (Normal)

Example 5 - Mixed (Uniform)

Introduction

Hypothesis Testing

Generating Null and Alternative Hypothesis Practice 1

Generating Null and Alternative Hypothesis Practice 2

Reject or Not Reject Ho

Hypothesis Testing Example

Introduction

Input

Example - What is Input ?

Goodness of fit tests

Distributions

Histogram

Example -Creating a Histogram

Histogram and Distributions

Chi Square Test

Chi Square Test - Learning with an Example

Kolmogorov Smirnov

Kolmogorov Smirnov Example

Q-Q Plot

Q-Q Plot Example

Quantile

Unbiased Estimator Question

Method of Moments (Exponential) Question

Method of Moments (Normal) Question

Method of Moments (Poisson) Question

Maximum Likelihood (Exponential) Question 1

Maximum Likelihood (Exponential) Question 2

Maximum Likelihood (for a given pdf) Question 1

Maximum Likelihood (for a given pdf) Question 2

Maximum Likelihood (for a given pdf) Question. 3

Maximum Likelihood (for a given pdf ) Question 4

Maximum Likelihood (for a given pdf) Question 5

Parameter Estimation Mixed Questions 1 (Bernoulli)

Parameter Estimation - Mixed Questions 2 (Geometric)

Parameter Estimation- Mixed Questions 3 (T/F)

Parameter Estimation -Mixed Questions 4 (Uniform)

Hypothesis Testing Question 1

Hypothesis Testing Question 2

Hypothesis Testing Question 3 - Variance

Distribution Types Question

Input Analyzer Question

Chi Square Test - Exponential Question

Chi Square Test - Uniform Question

Chi Square Test - Poisson Question

Chi Square Test - Normal Question

Kolmogorov Smirnov Question 1

Kolmogorov Smirnov Question 2

Kolmogorov Smirnov Question 3

Kolmogorov Smirnov Question 4

Kolmogorov Simirnov Question 5

Q-Q Plot Question 1

Input Modelling- Mixed Questions 1

Input Modelling -Mixed Questions 2

Input Modelling - Mixed Questions 3

Input Modelling - Mixed Question 4

Input Modelling - Mixed Question 5

Random Number Generation + Input Modelling - Mixed Questions 1

Random Number Generation + Input Modelling - Mixed Question 2

Random Number Generation + Input Modelling- Mixed Question 3

Random Number Generation + Input Modelling- Mixed Question 4

Introduction

Exponential-Poisson Example

Exponential-Poisson Numeric Example

Homogeneous Poisson Process - Non Homogeneous Poisson Process

Non Homogeneous Poisson Process Example

Non Homogeneous Poisson Process Example 2

Introduction

Terminating Non-Terminating Simulation

Example 1 - Sample mean , sample standart deviation

Confidence Interval

Tally - Time Persistent

Non-Terminating Simulation

Comparing two system

Sampling Types

Independent Sampling

Comparing Several Systems

Non-stationary Arrival Processes Mixed Questions 1

Non-stationary Arrival Processes Mixed Questions 2

Non-stationary Arrival Processes Mixed Questions 3

Non-stationary Arrival Processes Mixed Questions 4

Non-stationary Arrival Processes Mixed Question 5

Non-stationary Arrival Processes Mixed Question 6

Confidence Interval Nonnumeric Question 1

Confidence Interval numeric Question 1

Halfwidth Question 1

Replication Number Question 1

Replication Number Question 2

Comparison of Output Data Between Two Systems Question 1

Comparison of Output Data Between Two Systems Question 2

Comparison of Output Data Between Two Systems 3

Comparison of Output Data Between Two Systems 4

Comparison of Output Data Between Two Systems 5

Comparison of Output Data Between Three Systems

Nonterminating Simulation Open Ended Question 1

Nonterminating Simulation Numeric Question 1

Tally-Time Persistent Statistics Open Ended Questions 1

Output Analysis Mixed Questions 1

Output Analysis Mixed Questions 2

Output Analysis Mixed Question 3

Output Analysis Mixed Questions T/F