Homework #1.docx
pdf
keyboard_arrow_up
School
University of Missouri, Columbia *
*We aren’t endorsed by this school
Course
7350
Subject
Industrial Engineering
Date
Feb 20, 2024
Type
Pages
4
Uploaded by KidBat4022
Team 5: Mirieli Estaili da Silva Santos
Sora El-Rjoob
Yu Xuan Ng (Winnie)
Dr. Suchithra Rajendran
ISE 7350
February 11, 2023
Homework 1
1.
A typical supply chain manager has to make the decisions listed below. Categorize each
as
strategic, tactical,
or
operational.
(10 points)
a.
Number of warehouses needed and where to locate them: Strategic.
b.
Assignment of customer orders to inventory or production: Operational.
c.
Choosing vendors to supply critical raw materials: Strategic.
d.
Selecting a transportation provider for shipments to customer: Tactical.
e.
Given the factory capacity, determining the quarterly production schedule: Tactical.
f.
Choosing to produce a part internally or to outsource that part: Strategic.
g.
Setting inventory policies at retail locations: Tactical.
h.
Choosing a transportation mode for shipping: Tactical.
i.
Reordering materials to build inventory: Operational.
j.
Allocating inventory to customer backorders: Operational.
k.
Creating the distribution plan to move finished goods inventory from warehouses to
retail locations: Tactical.
2.
Explain the differences between qualitative and quantitative forecasting methods. Which
method is applicable under what conditions? (5 points)
Qualitative forecasting method
is appropriate when lacking historical data, such as
when launching a new product. It includes market research and analysis, experts’
opinions, and surveys.
Quantitative forecasting method
assumes that the forces that generated past demand
will continue to generate future demand.
3.
N&O
: Chapter 2, #13 (10 points)
Two forecasting methods have been used to evaluate the same economic time series. The
results are:
Forecast from Method 1
Forecast from Method 2
Realized Value
223
210
256
289
320
340
430
390
375
134
112
110
190
150
225
550
490
525
Compare the effectiveness of these methods by computing the MSE, the MAD, and the
MAPE. Do each of the measures of forecasting accuracy indicate that the same
forecasting technique is best? If not, why?
Forecast Method 1
Forecast Method 2
MSE
1523.5
1599.167
MAD
37.166
32.166
MAPE
0.141
0.116
No. There is no major difference between the results obtained from either method.
MSE for method 1 is better as it shows less error value.
MAD for method 2 is better as it shows less error value.
MAPE for method 2 is better as it shows less error value.
Therefore, different forecasting methods can yield more efficient results.
4.
N&O:
Chapter 2, #19. (15 points)
Parts (a) through (c) are based on the following observations of the demand for a certain part
stocked at a parts supply depot during the calendar year. Month
Demand
Month
Demand
January
89
July
223
February
57
August
286
March
144
September
212
April
221
October
275
May
177
November
188
June
280
December
312
a.
Using a four-month moving average, determine the one-step-ahead forecasts for July
through December.
One-Step-Ahead
July
205.5
Avg(280+177+221+144)/4
August
225.5
Avg(223+280+177+221)/4
September
241.5
Avg(286+223+280+177)/4
October
250.25
Avg(212+286+223+280)/4
November
249
Avg(275+212+286+223)/4
December
240
Avg(188+275+212+286)/4
b.
Using a four-month moving average, determine the two-step-ahead forecasts for July
through December. (Hint: the two-step-ahead forecast for July is based on the
observed demands in February through May.)
Two-Step-Ahead
July
149.75
Avg(57+144+221+177)/4
August
205.5
Avg(144+221+177+280)/4
September
225.5
Avg(221+177+280+223)/4
October
241.5
Avg(177+280+223+286)/4
November
250.25
Avg(280+223+286+212)/4
December
249
Avg(223+286+212+275)/4
c.
Compute the MAD for the forecasts obtained in problems (a) and (b). Which method
gave better results? Based on forecasting theory, which method should have given
better results?
MAD Forecast 1
MAD Forecast 2
July
17.5
73.25
August
60.75
80.5
September
29.5
13.25
October
24.75
33.5
November
61
62.25
December
71.75
63
Average
44.20833
54.29166
MAD for the one-step-ahead method is better because it shows smaller errors than the
two-step-ahead method, which means less variation between demand and forecast
and, in other words, a more accurate method.
Generally, two-step-ahead methods capture additional seasonality and trends, and are
potentially more efficient than one-step-ahead methods.
5.
N&O:
Chapter 2, #22 (20 points)
Handy, Inc. produces a solar-powered electronic calculator that has experienced the
following monthly sales for the first four months of the year, in thousands of units.
January
23.3
March
30.3
February
72.3
April
15.5
a.
If the forecast for January was 25, determine the one-step-ahead forecasts for
February through May using exponential smoothing with a smoothing constant of α =
.15.
Forecast α = 0.15
January
25
February
0.15*23.3+0.85*25
24.745
March
0.15*72.3+0.85*24.745
31.87825
April
0.15*30.3+0.85*31.8782
5
31.64151
May
0.15*15.5+0.85*31.6415
1
29.22028
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
b.
Repeat the calculation in part (a) for the value of α = .40. What difference in the
forecasts do you observe?
Forecast α = 0.40
January
25
February
0.40*23.3+0.60*25
24.32
March
0.40*72.3+0.60*24.32
43.512
April
0.40*30.3+0.60*43.512
38.2272
May
0.40*15.5+0.60*38.227
2
29.13632
c.
Compute the MSEs for the forecasts you obtained in parts (a) and (b) for February
through April. Which value of α gave more accurate forecasts, based on the MSE?
MSE = 0.15
MSE = 0.40
February
2261.478025
2302.0804
March
2.490873062
174.556944
April
260.5484258
516.5256198
841.5057746
997.7209879
MSE 0.15 = 841.5057746
MSE 0.40 = 997.7209879
α = .15 gives a more accurate forecast, giving less error than when α = 0.40.