IE 341 • Final • Simulation

Introduction

Queue Discipline

Queueing Notation

L and Lq

L and Lq Example

W and Wq

Little’s Law

Little’s Law Example

Steady State Behaviour

M/M/1

M/G/1

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

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

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

Test for Random Number

Autocorrelation

Autocorrelation Example

Run Tests

Runs Test Example

Uniformity Test - Chi Square Test

Uniformity Test -Kolmogorov Simirnov Test

Queuing Model Question 1

Queuing Model Question 2

Queuing Model Question 3

Queuing Model Question 4

Queuing Model Question 5

Random Number Generation: LCM (LCG) Question 1

Random Number Generation: LCM (LCG) Question 2

Random Number Generation: Full Period Question 1

Random Number Generation: LCM (LCG) Mixed Question

Random Number Generation: Maximum Period Question 1

Random Number Generation: Combined Linear Congruential Generator Question

Input Analysis: Chi Square Test - Uniform Question

Input Analysis: Kolmogorov Smirnov Question 1

Input Analysis: Kolmogorov Smirnov Question 2

Input Analysis: Kolmogorov Smirnov Question 3

Input Analysis: Q-Q Plot Question 1

Input Analysis: -Mixed Questions

Random Number Generation -Tests

Random Number Generation -Tests: Autocorrelation Question

Random Number Generation -Tests: Uniformity Question

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 Variate Generation: Inverse Transform Method- Exponential 1

Random Variate Generation: Inverse Transform Method- Exponential 2

Random Variate Generation: Inverse Transform Method- Uniform 1

Random Variate Generation: Inverse Transform Method- Uniform 2

Random Variate Generation: Inverse Transform Method- with a given distribution 1

Random Variate Generation: Inverse Transform Method- with a given distribution 2

Random Variate Generation: Inverse Transform Method- with a given distribution 3

Random Variate Generation: Inverse Transform Method- discrete 1

Random Variate Generation: Inverse Transform Method- discrete 2

Random Variate Generation: Inverse Transform Method- discrete 3

Random Variate Generation: Inverse Transform Method- Binomial

Random Variate Generation: Inverse Transform Method-Triangular

Random Variate Generation: - Normal distribution

Random Variate Generation: Acceptance-Rejection Technique

Random Variate Generation: Acceptance-Rejection Technique 2

Random Variate Generation: Emprical Distribution Question 1

Random Variate Generation: Emprical Distribution Question 2

Random Variate Generation: Emprical Distribution Question 3

Random Variate Generation: Emprical Frequency Distribution Question 1

Random Variate Generation: Emprical Frequency Distribution Question 2

Mixed Question 1: Random Variate Generation + Discrete Event Simulation

Mixed Question 2: Random Variate Generation + Discrete Event Simulation

Introduction

Terminating Non-Terminating Simulation

Example 1 - Sample mean, sample standart deviation

Confidence Interval

Comparing two system

Tally - Time Persistent

Non-Terminating Simulation

Confidence Interval numeric Question 1

Halfwidth Question 1

Replication Number Question 1

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

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