Solutions_Problems_OM_11e_Stevenson
Work Station I Eligible a b,c,e, (tie) Assign A B C E D F G H Time Remaining 1.1 0.7 0.4 0.3 0.0 0.5 0.2 0.1 Idle Time 0.3 0.0 0.2 0.1 0.6 II III d f,g IV
h 3. Idle percent??(idle time).6??11.54 percent
NxCT4(1.3)
4. Output?OT420 min./day??323.1 (rounds to 323)copiers/day CT1.3 min./cycleTotal time4.6??2.3 minutes N2
b. 1. Total time?4.6, CT?
2. Assign a, b, c, d, and e to station 1: 2.3 minutes [no idle time]
Assign f, g, and h to station 2: 2.3 minutes
3. Output?4.
OT420 ??182.6 copiers/day CT2.3Maximum Ct is 4.6. Output?420 min./day?91.30 copiers/day
4.6 min./cycle7.
1 3 6 5 8 2 4 7 6 / 22
Solutions_Problems_OM_11e_Stevenson
Chapter 06 - Work Design and Measurement
3.
Element PR OT 1 2 3 4
Total
.90
.46
NT AFjob ST
.414 1.15 .476
.85 1.505 1.280 1.15 1.472 1.10
.83
.913 1.15 1.050
1.00 1.16 1.160 1.15 1.334
4.332
8. A = 24 + 10 + 14 = 48 minutes per 4 hours
A?
48?.20240
NT?6(.95)?5.70min.ST?5.70x1?7.125min.1?.20 9.
a.
b.
Element PR OT 1 2 3
NT A ST
1.10 1.19 1.309 1.15 1.505 1.15 1.05
.83 .56
.955 1.15 1.098 .588 1.15 .676
x?.83
s?.034?zs??2(.034)? n????67.12~68observations ???.01(.83)ax???z?2.00?A?.012222
7 / 22
?zs??2(.034)?c. e = .01 minutes n???????46.24, round to 47
?e??.01?Solutions_Problems_OM_11e_Stevenson
Chapter 07- Location Planning and Analysis
1.
Factor Local bank 1. Convenience for
customers H 2. Attractiveness of
building H 3. Nearness to raw
materials L 4. Large amounts of
power L 5. Pollution controls L 6. Labor cost and
availability L 7. Transportation
costs L 8. Construction
costs M
Steel mill
L L H H
H M M–H H
Food warehouse
M–H M L L L L M–H M
Public school
M–H M–H M L L L M M–H
4.
Factor
1. Business Services 2. Community Services 3. Real Estate Cost 4. Construction Costs 5. Cost of Living 6. Taxes 7. Transportation
Total
Location (a) A B C 9 7 3 5 4 5 6 39
5 6 8 6 7 5 44
5 7 7 5 8 5
Weight 1/9 1/9 1/9 1/9
Location (b) A B 7/9 3/9 4/9 5/9
6/9 8/9 7/9 5/9
C 7/9 7/9 8/9 4/9
2/9 18/9 10/9 10/9
2/9 10/9 12/9 10/9
7 8 45
1/9 6/9 7/9 8/9 1.0 53/9 55/9 54/9
Each factor has a weight of 1/7.
39 44 45 7 7 7
a. Composite Scores
B or C is the best and A is least desirable.
b. Business Services and Construction Costs both have a weight of 2/9; the other factors each have a weight of 1/9.
5 x + 2 x + 2 x = 1 ? x = 1/9
c. Composite Scores
A B C 53/9 55/9 54/9
B is the best followed by C and then A.
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Solutions_Problems_OM_11e_Stevenson
5.
Location A
B C D E Totals
x y
3 7 8 2 4 6 4 1
6 4 25 20
= 25 = 5.0
5
?y =
?yi n
= 20
5
= 4.0
?x =
?xi n
Hence, the center of gravity is at (5,4) and therefore the optimal location.
Chapter 08 - Management of Quality
1.
Checksheet Work Type Lube and Oil Brakes Tires Battery Transmission
Total
Pareto 12 Lube & Oil
Frequency
12 7 6 4 1 30
7 6 4 1 Brakes
Tires
Battery
Trans.
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Solutions_Problems_OM_11e_Stevenson
2 .
The run charts seems to show a pattern of errors possibly linked to break times or the end of the shift. Perhaps workers are becoming fatigued. If so, perhaps two 10 minute breaks in the morning and again in the afternoon instead of one 20 minute break could reduce some errors. Also, errors are occurring during the last few minutes before noon and the end of the shift, and those periods should also be given management’s attention.
3 2 1 ? 0
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
?
? ? ? ? ? ? ?
?
break lunch break
4
Person Missing Didn’t turn completely on Lamp Burned out Loose Lamp fails to light Not plugged in Power off Outlet defective Other
10 / 22
Defective Cord