35
36
37
38
A B C D E G H I J K
22 5.3463E-05
23 3.5642E-05
24 2.3761E-05
25 1.5841E-05
1
2
3
4
5
6
7
8
9
10
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 5 (mean arrival rate) L = 2 L G4
m = 7.5 (mean service rate)
Lq = 1.33333333 Lambda C4
s = 1 (# servers) Lq G5
W = 0.4 Mu C5
Pr(W > t) = 0.082085
Wq = 0.26666667 n F13:F38
when t = 1 P0 G13
r = 0.66666667 Pn G13:G38
Prob(Wq > t) = 0.054723 Rho G10
35
36
37
38
A B C D E G H I J K
22 4.4552E-05
23 2.9702E-05
24 1.9801E-05
25 1.3201E-05
1
2
3
4
5
6
7
8
9
10
11
12
A B C D E F G H I J
Template for M/D/1 Queueing Model
Data Results
Range Name
Cell
l = 0.2 (mean arrival rate) L = 1.05 LG4
m = 0.333333 (mean service rate)
Lq = 0.45 Lambda C4
s = 1 (# servers) Lq G5
W = 5.25 Mu C5
Wq = 2.25 P0 G12
Rho G10
r = 0.6 sC6
WG7
P0 = 0.4 Wq G8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
19
20
21
22
A B C D E F G H
Template for M/M/s Nonpreemptive Priorities Queueing Model
Data
1n = 2 (# of priority classes)
0
m = 20 (mean service rate)
0s = 1 (# servers)
0
0
0
liLLq WWq
0Priority Class 1 2 0.1666667 0.0666667 0.0833333 0.0333333
0Priority Class 2 10 1.3333333 0.8333333 0.1333333 0.0833333
0 Priority Class 3 1 0.2642857 0.2142857 0.2642857 0.2142857
0 Priority Class 4 1 0.3357143 0.2857143 0.3357143 0.2857143
0 Priority Class 5 1 0.45 0.4 0.45 0.4
0
0l = 12
0r = 0.6
0
0
0
0
Results
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
A B C D E F G H I J
Template for M/M/1 Preemptive Priorities Queueing Model
Data
n = 3 (# of priority classes)
m = 3 (mean service rate)
s = 1 (# servers)
liLLq WWq Wq (minutes)
Priority Class 1 0.2 0.0714286 0.0047619 0.3571429 0.0238095 0.93333333 1.42857143
Priority Class 2 0.6 0.2922078 0.0922078 0.487013 0.1536797 0.73333333 9.22077922
Priority Class 3 1.2 1.6363636 1.2363636 1.3636364 1.030303 0.33333333 61.8181818
Priority Class 4 1 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0
Priority Class 5 1 #DIV/0! #DIV/0! #DIV/0! #DIV/0! -0.3333333
l = 2
r = 0.6666667
Results
1
2
3
4
5
6
7
8
9
10
13
15
16
17
18
19
20
21
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 2 (mean arrival rate) L = 2 L G4
m = 3 (mean service rate)
Lq = 1.33333333 Lambda C4
s = 1 (# servers) Lq G5
W = 1 Mu C5
Pr(W > t) = 0.367879
Wq = 0.66666667 n F13:F38
when t = 1 P0 G13
r = 0.66666667 Pn G13:G38
00.33333333 Time1 C9
20.14814815 WG7
30.09876543 Wq G8
40.06584362
50.04389575
60.02926383
70.01950922
80.01300615
0.15
0.2
0.25
0.3
0.35
Probability
35
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37
38
A B C D E G H I J K
22 4.4552E-05
23 2.9702E-05
24 1.9801E-05
25 1.3201E-05
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
A B C D E F G H I J
Template for M/M/1 Preemptive Priorities Queueing Model
Data
n = 3 (# of priority classes)
m = 3 (mean service rate)
s = 1 (# servers)
liLLq WWq Wq (minutes)
Priority Class 1 0.225 0.0810811 0.0060811 0.3603604 0.027027 0.925 1.62162162
Priority Class 2 0.675 0.3474903 0.1224903 0.5148005 0.1814672 0.7 10.8880309
Priority Class 3 1.35 2.5714286 2.1214286 1.9047619 1.5714286 0.25 94.2857143
Priority Class 4 1 -16 -16.33333 -16 –16.33333 –0.0833333
Priority Class 5 1 9.6 9.2666667 9.6 9.2666667 -0.4166667
l = 2.25
r = 0.75
Results
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
A B C D E F G H
Template for M/M/s Nonpreemptive Priorities Queueing Model
Data
1n = 3 (# of priority classes)
3
m = 4 (mean service rate)
5s = 4 (# servers)
5
0
0
liLLq WWq
0Priority Class 1 6 1.8056604 0.3056604 0.3009434 0.0509434
0Priority Class 2 4 1.5433962 0.5433962 0.3858491 0.1358491
0Priority Class 3 2 1.1792453 0.6792453 0.5896226 0.3396226
0 Priority Class 4 1 0.9292453 0.6792453 0.9292453 0.6792453
0 Priority Class 5 1 1.6084906 1.3584906 1.6084906 1.3584906
0
0l = 12
0r = 0.75
Results
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
19
20
21
22
A B C D E F G H
Template for M/M/s Nonpreemptive Priorities Queueing Model
Data
1n = 3 (# of priority classes)
3
m = 4 (mean service rate)
5s = 5 (# servers)
5
3
0
liLLq WWq
0Priority Class 1 6 1.6012078 0.1012078 0.266868 0.016868
0Priority Class 2 4 1.1349438 0.1349438 0.2837359 0.0337359
0Priority Class 3 2 0.6180758 0.1180758 0.3090379 0.0590379
0 Priority Class 4 1 0.3343399 0.0843399 0.3343399 0.0843399
0 Priority Class 5 1 0.3624531 0.1124531 0.3624531 0.1124531
0
0l = 12
0
0
0
0
Results