Chapter0

Probability and Stochastic Processes References: Wolff, Stochastic Modeling and the Theory of Queues , Chapter 1 Altiok, Performance Analysis of Manufacturing Systems , Chapter 2 Chapter 0

Basic Probability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Random Variables ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0 A random variable is “a number that you don’t know… yet” Sam Savage, Stanford University

Functions of Random Variables ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Conditioning ( Wolff ) ,[object Object],[object Object],[object Object],Chapter 0

Convolution ,[object Object],[object Object],[object Object],[object Object],Chapter 0

Moments of Random Variables ,[object Object],[object Object],[object Object],[object Object],Chapter 0

Linear Functions of Random Variables ,[object Object],[object Object],[object Object],Chapter 0

Transforms and Generating Functions ,[object Object],[object Object],[object Object],[object Object],Chapter 0

Special Distributions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Bernoulli Distribution ,[object Object],[object Object],Chapter 0

Binomial Distribution ,[object Object],[object Object],Chapter 0

Geometric Distribution ,[object Object],[object Object],[object Object],Chapter 0

z -Transform for Geometric Distribution ,[object Object],[object Object],Chapter 0

Poisson Distribution ,[object Object],[object Object],Chapter 0

Uniform Distribution ,[object Object],Chapter 0 a b

Exponential Distribution ,[object Object],[object Object],Chapter 0

Gamma Distribution ,[object Object],[object Object],Chapter 0

Normal Distribution ,[object Object],[object Object],Chapter 0

m.g.f.’s of Exponential and Erlang ,[object Object],[object Object],[object Object],Chapter 0

Stochastic Processes ,[object Object],[object Object],Chapter 0 A stochastic process is a random variable that changes over time, or a sequence of numbers that you don’t know yet.

Stochastic Processes ,[object Object],[object Object],[object Object],Chapter 0

Poisson Process ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Poisson Process and Exponential Dist’n ,[object Object],[object Object],[object Object],[object Object],Chapter 0

When are Poisson arrivals reasonable? ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

More Exponential Distribution Facts ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Continuous Time Markov Chains ,[object Object],[object Object],[object Object],[object Object],Chapter 0

CTMC Another Way ,[object Object],[object Object],[object Object],[object Object],Chapter 0

CTMC Infinitesimal Generator ,[object Object],[object Object],[object Object],Chapter 0

Long Run (Steady State) Probabilities ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 0

Phase-Type Distributions ,[object Object],[object Object],[object Object],Chapter 0

Chapter0

Recommended

Recommended

More Related Content

What's hot

What's hot (20)

Similar to Chapter0

Similar to Chapter0 (20)

Recently uploaded

Recently uploaded (20)

Chapter0