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Exercise 2-1 Solution file from Kelton/Sadowski/Zupick, Simulation With Arena, 6th edition, McGraw-Hill, 2015Define S(t) = the total number of parts in the system (in queue plus in service) at time t, let S denote the area under S(t) up to the event time at a row in the table, and S* be the maximum
value of S(t) observed up to the event time in the row. Table 2-2 is then augmented as follows (the new cells are shaded):
Just-Finished Event Variables Attributes Statistical Accumulators Event Calendar
Entity Time Event Arrival Times:
No. t Type Q(t) B(t) S(t) (In Queue) In Service P N WQ WQ* TS TS* Q Q* B S S* [Entity No., Time, Type]
[1, 0.00, Arr]
– 0.00 Init 0 0 0 () – 0 0 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0 [–, 20.00, End]
[2, 1.73, Arr]
1 0.00 Arr 0 1 1 () 0.00 0 1 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 1 [1, 2.90, Dep]
[–, 20.00, End]
[1, 2.90, Dep]
2 1.73 Arr 1 1 2 (1.73) 0.00 0 1 0.00 0.00 0.00 0.00 0.00 1 1.73 1.73 2 [3, 3.08, Arr]
[–, 20.00, End]
[3, 3.08, Arr]
1 2.90 Dep 0 1 1 () 1.73 1 2 1.17 1.17 2.90 2.90 1.17 1 2.90 4.07 2 [2, 4.66, Dep]
[–, 20.00, End]
[4, 3.79, Arr]
3 3.08 Arr 1 1 2 (3.08) 1.73 1 2 1.17 1.17 2.90 2.90 1.17 1 3.08 4.25 2 [2, 4.66, Dep]
[–, 20.00, End]
[5, 4.41, Arr]
4 3.79 Arr 2 1 3 (3.79, 3.08) 1.73 1 2 1.17 1.17 2.90 2.90 1.88 2 3.79 5.67 3 [2, 4.66, Dep]
[–, 20.00, End]
[2, 4.66, Dep]
5 4.41 Arr 3 1 4 (4.41, 3.79, 3.08) 1.73 1 2 1.17 1.17 2.90 2.90 3.12 3 4.41 7.53 4 [6, 18.69, Arr]
[–, 20.00, End]
[3, 8.05, Dep]
2 4.66 Dep 2 1 3 (4.41, 3.79) 3.08 2 3 2.75 1.58 5.83 2.93 3.87 3 4.66 8.53 4 [6, 18.69, Arr]
[–, 20.00, End]
[4, 12.57, Dep]
3 8.05 Dep 1 1 2 (4.41) 3.79 3 4 7.01 4.26 10.80 4.97 10.65 3 8.05 18.79 4 [6, 18.69, Arr]
[–, 20.00, End]
[5, 17.03, Dep]
4 12.57 Dep 0 1 1 () 4.41 4 5 15.17 8.16 19.58 8.78 15.17 3 12.57 27.74 4 [6, 18.69, Arr]
[–, 20.00, End]
[6, 18.69, Arr]
5 17.03 Dep 0 0 0 () – 5 5 15.17 8.16 32.20 12.62 15.17 3 17.03 32.20 4 [–, 20.00, End]
[7, 19.39, Arr]
6 18.69 Arr 0 1 1 () 18.69 5 6 15.17 8.16 32.20 12.62 15.17 3 17.03 32.20 4 [–, 20.00, End]
[6, 23.05, Dep]
[–, 20.00, End]
7 19.39 Arr 1 1 2 (19.39) 18.69 5 6 15.17 8.16 32.20 12.62 15.17 3 17.73 32.90 4 [6, 23.05, Dep]
[8, 34.91, Arr]
[6, 23.05, Dep]
– 20.00 End 1 1 2 (19.39) 18.69 5 6 15.17 8.16 32.20 12.62 15.78 3 18.34 34.12 4 [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.
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