DCSN 205 Homework Solution Chapter 9, Fall 2015
American University of Beirut · Operations Management · 3 pages · with solution
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Solution Chapter 9 exercises
(9.5,9.17)
9.5
Load Distance
A B:
450 30 =
13,500
A C:
550 60 =
33,000
A D:
50 90 =
4,500
B A:
350 30 =
10,500
B C:
200 30 =
6,000
C D:
750 30 =
22,50
0
90,000
Note: Work areas are “fixed” if using the software to reach this initial answer.
(a) Initial layout:
Interstation Distance Matrix—Original Layout
Pick Up
Pick Up
Verification
Paperwork Advising
Class
of Status
and Forms
Station
Cards
and Payment
(A)
(B)
(C)
(D)
Paperwork/
Forms (A)
0
30
60
90
Advising (B)
30
0
30
60
Class Cards (C)
60
30
0
30
Verification/
Payment (D)
90
60
30
0
Interstation Distance Matrix—Improved Layout
Pick Up
Pick Up
Verification
Paperwork Advising
Class
of Status
and Forms
Station
Cards
and Payment
(A)
(B)
(C)
(D)
Paperwork/
Forms (A)
0
30
30
60
Advising (B)
30
0
60
90
Class Cards (C)
30
60
0
30
Verification/
Payment (D)
60
90
30
0
(b) Improved layout:
9.17
Performance Time
Task Must Follow
Task
(in minutes)
This Task
A
1
—
B
1
A
C
2
A
D
1
C
E
3
C
F
1
C
G
1
D, E, F
H
2
B
I
1
G, H
13
(a)
Load Distance
A B:
450 30 =
13,500
A C:
550 30 =
16,500
A D:
50 60 =
3,000
B A:
350 30 =
10,500
B C:
200 60 =
12,000
C D:
750 30 =
22,500
78,000
(b)
or Efficiency 78% with a cycle time of 3.33. Multiple layouts with this efficiency exist.
(d) Idle time 1 1 2 min per cycle
60 cycles (boats) 2 min
120 min; so it’s 2 hours per day