Homework 6: Due on Wednesday, March 9
Problem 1: Consider a Newsvendor Model with p = 3 and h = 1. Demand X
is a random variable with the following distributions:
x
probability Pr(X = x)
1
0.2
3
0.15
4
0.25
7
0.2
9
0.15
11
0.05
Questions:
1. Determine the
Homework (submission optional)
Problem 1: A supplier makes a product at the per-unit cost h = 2. A retailer
sells it at the per-unit price p = 7. The table below gives demand distribution
units
probability
0
0.15
1
0.1
2
0.2
3
0.1
4
0.15
5
0.2
6
0.1
Quest
IE 361 Spring 2016
Homework 2
1. Given
^x ( t )=x ( t1 ) + ( 1 ) ^x ( t1)
where,
^x ( t ) is the forecast for period t and
x ( t ) is observed value in period t.
We know,
^x ( t )=[ 1( 1 )
t1
t1
] +(1 )t1 + (1 )i1 t i
i=1
The component of
^x ( 1 ) has (1
Homework 5 Solution
Problem1
Given: A = 12, d = 4, h = 3, I* = 4
To find: c, t1* + t2*, Q*
Optimal Peak Inventory
2 Ad
d
(1 )
h
c
4=
2124
4
(1 )
3
c
Thus,
c=8
t 1 =
I=
I
4
=
=1
cd 84
t 1 =1
I 4
t 2 = = =1
d 4
t 1 +t 2=2
Q =c t 1 = 8*1
Q =8
Problem2
Q
t
=
Mid-Term Exam Answers
Problem 1: Suppose that exponential smoothing is used to forecast sales. Let
xt be the observed value and x
t be the forecast in period t (t = 1, .,). Denote
the forecast error in period t by
t |
xt xt |, t = 1, .
Question: show that
Homework 7: Due on Wednesday, April 6
Problem 1: Suppose that you make one product from two components. The
lead time of component A is one day and the lead time of component B is three
days. As of today, the backlog is 10 units, and you have 4 units of c
Homework 4: Due on Wednesday, February 24
Problem
Consider the following six-month production planning problem: the table below
gives the demands in each month:
month
demand
1
3
2
6
3
15
4
12
5
17
6
6
Regular production is limited to 10 units per month. T
Homework 1: January 25 (Due on February 3, Wednesday)
Self-study: learn to use Excel to carry out least square estimation
Problem 1: Suppose that you are estimating the relationship between sales
(Y ) and spending on the sales force (X)
Y = 0 + 1 X
by app
IE 240 HW1 Due 9/9/2016
Name: Mengke Ding
Problem 1.
Define:
Index:
i = 1,2: index of types of wooden toys - Soldiers & Trains.
j = 1,2: index of types of labor needed.
Parameters:
ci: Profit of product i ($)
aij: Labor(hrs) needed for type j labor on pro
IEOR 240 - Fall 2015
Homework 1
Due 09/09/2016 at 11:59 pm
Homework requirement
Homework 1 is due on Friday September 9th at 11:59 pm midnight, electronically on
bCourses.
Submit your homework (typed, scanned or photographed) in a single .pdf file and t
IE 240 HW2 Due 9/16/2016
Name: Mengke Ding
Problem 1.
Define:
Index:
i = 1,2,3,4: Index of the next four months.
Parameters:
pi: production cost of each month i ($/ton);
di: demand of each month i (tons)
Ii: Inventory of each month i (tons)
Decision Varia
IEOR 240 - Fall 2016
Homework 2
Due 09/16/2016 at 11:59pm
Homework requirement
Homework 2 is due on Friday September 16th at 11:59pm midnight, electronically on
bCourses.
Submit your homework (typed, scanned or photographed) in a single .pdf and the
cor
Answers to Homework and Mid-Term Review Problems
Problem 1
1. The supply chains profit maximizing problem is
maxcfw_pE[min(X, y)] hy = maxcfw_7E[min(X, y)] 2y,
y
y
(1)
so the optimal order quantity is
h
2
= min y : Pr(X > y) <
= 5.
y = min y : Pr(X > y) <