Solution Manual for Simulation with Arena 6th Edition by Kelton-05

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Exercise 2-5 Solution file from Kelton/Sadowski/Zupick, Simulation With Arena, 6th edition, McGraw-Hill, 2015
There are now two “spots” in the server rather than one, shown in the table as two underlined spaces for In Service Arrival Times. Departure records are still placed on the event calendar, but we need to indicate in parentheses after the Arrival Times of entities in service their entity number to match them up with the correct departure records. Table 2-2 becomes:
Just-Finished Event
Variables
Attributes
Statistical Accumulators
Event Calendar
Entity
Time
Event
Arrival Times:
No.
t
Type
Q(t)
B(t)
(In Queue)
In Service
P
N
WQ
WQ*
TS
TS*
Q
Q*
B
[Entity No.,
Time,
Type]


[1,
0.00,
Arr]
–
0.00
Init
0
0
()
–
0
0
0.00
0.00
0.00
0.00
0.00
0
0.00
[–,
20.00,
End]
–
[2,
1.73,
Arr]
1
0.00
Arr
0
1
()
0.00 (1)
0
1
0.00
0.00
0.00
0.00
0.00
0
0.00
[1,
2.90,
Dep]
–
[–,
20.00,
End]
[1,
2.90,
Dep]
2
1.73
Arr
0
2
()
0.00 (1)
0
2
0.00
0.00
0.00
0.00
0.00
0
1.73
[3,
3.08,
Arr]
1.73 (2)
[2,
3.49,
Dep]
[–,
20.00,
End]
[3,
3.08,
Arr]
1
2.90
Dep
0
1
()
–
1
2
0.00
0.00
2.90
2.90
0.00
0
4.07
[2,
3.49,
Dep]
1.73 (2)
[–,
20.00,
End]
[2,
3.49,
Dep]
3
3.08
Arr
0
2
()
3.08 (3)
1
3
0.00
0.00
2.90
2.90
0.00
0
4.25
[4,
3.79,
Arr]
1.73 (2)
[3,
6.47,
Dep]
[–,
20.00,
End]
[4,
3.79,
Arr]
2
3.49
Dep
0
1
()
3.08 (3)
2
3
0.00
0.00
4.66
2.90
0.00
0
5.07
[3,
6.47,
Dep]
–
[–,
20.00,
End]
[5,
4.41,
Arr]
4
3.79
Arr
0
2
()
3.08 (3)
2
4
0.00
0.00
4.66
2.90
0.00
0
5.37
[3,
6.47,
Dep]
3.79 (4)
[4,
8.31,
Dep]
[–,
20.00,
End]
[3,
6.47,
Dep]
5
4.41
Arr
1
2
(4.41)
3.08 (3)
2
4
0.00
0.00
4.66
2.90
0.00
1
6.61
[4,
8.31,
Dep]
3.79 (4)
[6,
18.69,
Arr]
[–,
20.00,
End]
[4,
8.31,
Dep]
3
6.47
Dep
0
2
()
4.41 (5)
3
5
2.06
2.06
8.05
3.39
2.06
1
10.73
[5,
10.93,
Dep]
3.79 (4)
[6,
18.69,
Arr]
[–,
20.00,
End]
[5,
10.93,
Dep]
4
8.31
Dep
0
1
()
4.41 (5)
4
5
2.06
2.06
12.57
4.52
2.06
1
14.41
[6,
18.69,
Arr]
–
[–,
20.00,
End]
[6,
18.69,
Arr]
5
10.93
Dep
0
0
()
–
5
5
2.06
2.06
19.09
6.52
2.06
1
17.03
[–,
20.00,
End]
–
[7,
19.39,
Arr]
6
18.69
Arr
0
1
()
18.69 (6)
5
6
2.06
2.06
19.09
6.52
2.06
1
17.03
[–,
20.00,
End]
–
[6,
23.05,
Dep]
[–,
20.00,
End]
7
19.39
Arr
0
2
()
18.69 (6)
5
7
2.06
2.06
19.09
6.52
2.06
1
17.73
[7,
21.46,
Dep]
19.39 (7)
[6,
23.05,
Dep]
[8,
34.91,
Arr]
[7,
21.46,
Dep]
–
20.00
End
0
2
()
18.69 (6)
5
7
2.06
2.06
19.09
6.52
2.06
1
18.95
[6,
23.05,
Dep]
19.39 (7)
[8,
34.91,
Arr]
This file was downloaded
from the Solutions area of
the website for the 6th ed.
of "Simulation With Arena"
by Kelton, Sadowski, and
Zupick, McGraw-Hill, 2015.
Here are the summary results:
Performance Measure
Value
Result from Table 2-3
Change
Total
production
5 parts
5 parts No change
Average waiting time in queue 0.29 minute per part (7 parts)
2.53 minutes per part
(6 parts) Decreased
Maximum waiting time in queue 2.06 minutes
8.16 minutes Decreased
Average total time in system 3.82 minutes per part (5 parts)
6.44 minutes per part
(5 parts) Decreased
Maximum total time in system 6.52 minutes
12.62 minutes Decreased
Time-average number of parts in queue 0.10 part
0.79 part Decreased
Maximum number of parts in queue 1 part
3 parts Decreased
Drill-press utilization 0.47 [= 18.95/(2  20)]
(dimensionless proportion)
0.92
(dimensionless proportion) Decreased
Congestion is considerably relieved on all measures; the average total time in system is reduced the least since parts must still endure their (same) processing times no matter how little time they have to wait in queue.