ISyE 6334
Operations Research II for Supply Chain
Engineers
Homework 1
Due: At the start of class on Thursday, September/3/2015
1. Suppose that a truck dealership has 3 trucks on the lot for sale. They are identical,
except that one is red, one is blue, a
ISyE 6334
Operations Research II for Supply Chain Engineers
Fall 2015
Homework 2
Issued: September 3, 2015
Due: Tuesday, September 15, 2015
1. Section 12.5 Problem 1: I have 100 items of a product in stock. The probability mass function
for the products d
ISyE 6334: Lecture:
Condi5onal Probability and Random
Variables
Alan Erera
School of Industrial and Systems Engineering
Georgia Tech
Condi5onal Probability
Condi5onal probability nota5on
Probability of event
ISyE 6334: Lecture:
Introduc3on to Probability Theory
Alan Erera
School of Industrial and Systems Engineering
Georgia Tech
Randomness
Modeling and randomness
Frequently, when we seek to create a
cij
mathema3
ISyE 6334: Lecture:
Random Variables, Part 3
Alan Erera
School of Industrial and Systems Engineering
Georgia Tech
Exponential Random Variable
Continuous density on non-negative reals
Single parameter
Probability density function
f (x) =
(
e
0
x
x 0
ot
ISyE 6334: Lecture:
Random Variables, Part 2
Alan Erera
School of Industrial and Systems Engineering
Georgia Tech
Random Variables are Functions
Induced Random Variables
Y = f (X)
Outcome space of Y is induced entirely by the
outcome space of X
One-t
ISyE 6334: Lecture:
Random Variables
Alan Erera
School of Industrial and Systems Engineering
Georgia Tech
Random Variables
In quantitative modeling, we are often
interested in experiments that yield
cij
numbers, or vectors of numbers
cfw_i1 , i2 , .,
The Case
Barry L. Nelson
B. L. Nelson
1
Magazine Stocking
Charles Levy Co. distributes magazines to
stores like Target, Walgreens, Jewel, etc.
Stocking check-out pockets is a difficult singleperiod inventory problem
Publisher wants pocket never empty
CL