IE 313 • Midterm II + Final • Operations Research III

From Discrete to Continuous

Example 1

Example 2

Example 3

Steady State Distribution

Q Matrix

Example 4

Example 5

Example 6

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

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

Poisson Processes 1

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

Birth and Death 5

Poisson Processes 1 (Fall 23)

Poisson Processes 2 (Spring 23)

Poisson Processes 3 (Spring 22)

CTMC - Birth and Death 1 (Fall 23)

CTMC - Birth and Death 2 (Spring 23)

CTMC - Birth and Death 3 (Spring 22)

Python Question 2 (Spring 23)

Python Question 1 (Fall 23)