35
36
37
38
A B C D E G H I J K
22 0.00071801
23 0.00053851
24 0.00040388
25 0.00030291
Number of Customers in System
1
2
3
4
5
6
7
8
9
10
25
26
27
28
29
30
31
32
33
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 3 (mean arrival rate) L = 3.35422741 LG4
m = 1 (mean service rate)
Lq = 0.35422741 Lambda C4
s = 5 (# servers) Lq G5
W = 1.1180758 Mu C5
Pr(W > t) = 0.008318
Wq = 0.1180758 n F13:F38
when t = 5 P0 G13
r = 0.6 Pn G13:G38
Prob(Wq > t) = 1.07E-05 Rho G10
12 0.00264429
13 0.00158658
14 0.00095195
15 0.00057117
16 0.0003427
17 0.00020562
18 0.00012337
19 7.4023E-05
20 4.4414E-05
35
36
37
38
A B C D E G H I J K
22 1.5989E-05
23 9.5934E-06
24 5.7561E-06
25 3.4536E-06
1
2
3
4
5
6
7
8
9
10
11
12
13
14
39
40
41
42
43
44
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 0.5 (mean arrival rate) L = 1 L G4
m = 1 (mean service rate)
Lq = 0.5 Lambda C4
s = 1 (# servers) Lq G5
W = 2 Mu C5
Pr(W > t) = 0.08208
Wq = 1 n F13:F38
when t = 5 P0 G13
r = 0.5 Pn G13:G38
Prob(Wq > t) = 0.04104 Rho G10
when t = 5 n
PnsC6
00.5 Time1 C9
10.25 Time2 C12
lL
LqWWqProb(W>5)
10.5 2 1 0.082084999
0.5 10.5 2 1 0.082084999
0.9 98.1 10 90.60653066
0.99 99 98.01 100 99 0.951229425
1
2
3
4
5
6
7
8
9
10
11
12
13
14
39
40
41
42
43
44
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 0.5 (mean arrival rate) L = 1.333333333 LG4
m = 0.5 (mean service rate)
Lq = 0.333333333 Lambda C4
s = 2 (# servers) Lq G5
W = 2.666666667 Mu C5
Pr(W > t) = 0.15049
Wq = 0.666666667 n F13:F38
when t = 5 P0 G13
r = 0.5 Pn G13:G38
Prob(Wq > t) = 0.02736 Rho G10
when t = 5 n
PnsC6
00.333333333 Time1 C9
10.333333333 Time2 C12
lL
LqWWqProb(W>5)
1.33333 0.33333 2.66667 0.66667 0.150489164
0.5 1.33333 0.33333 2.66667 0.66667 0.150489164
0.9 9.47368 7.67368 10.5263 8.52632 0.641033664
0.99 99.4975 97.5175 100.503 98.5025 0.955686118
1
2
3
4
5
6
7
8
9
10
13
18
19
25
26
27
28
29
30
31
32
33
34
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 0.166667 (mean arrival rate) L = 5 L G4
m = 0.2 (mean service rate)
Lq = 4.16666667 Lambda C4
s = 1 (# servers) Lq G5
W = 30 Mu C5
Pr(W > t) = 0.716531
Wq = 25 n F13:F38
when t = 10 P0 G13
r = 0.83333333 Pn G13:G38
00.16666667 0.16666667 Time1 C9
50.0669796 0.66510202
60.05581633 0.72091835
12 0.01869278
13 0.01557731
14 0.01298109
15 0.01081758
16 0.00901465
17 0.00751221
18 0.00626017
19 0.00521681
20 0.00434734
21 0.00362279
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
Probability
35
36
37
38
A B C D E G H I J K
22 0.00301899
23 0.00251582
24 0.00209652
25 0.0017471
Number of Customers in System
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 = 150 (mean arrival rate) L = 6.01123596 LG4
m = 60 (mean service rate)
Lq = 3.51123596 Lambda C4
s = 3 (# servers) Lq G5
W = 0.04007491 Mu C5
Pr(W > t) = 1.31E-13
Wq = 0.02340824 n F13:F38
when t = 1 P0 G13
r = 0.83333333 Pn G13:G38
Prob(Wq > t) = 0.702247 Rho G10
35
36
37
38
A B C D E G H I J K
22 0.00366349
23 0.00305291
24 0.00254409
25 0.00212008
1
2
3
4
5
6
7
8
9
10
13
25
26
27
28
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 150 (mean arrival rate) L = 5 L G4
m = 180 (mean service rate)
Lq = 4.16666667 Lambda C4
s = 1 (# servers) Lq G5
W = 0.03333333 Mu C5
Pr(W > t) = 9.36E-14
Wq = 0.02777778 n F13:F38
when t = 1 P0 G13
r = 0.83333333 Pn G13:G38
00.16666667 Time1 C9
12 0.01869278
13 0.01557731
14 0.01298109
15 0.01081758
0
Number of Customers in System
35
36
37
38
A B C D E G H I J K
22 0.00301899
23 0.00251582
24 0.00209652
25 0.0017471
1
2
3
4
5
6
7
8
9
10
13
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 16 (mean arrival rate) L = 4 L G4
m = 20 (mean service rate)
Lq = 3.2 Lambda C4
s = 1 (# servers) Lq G5
W = 0.25 Mu C5
Pr(W > t) = 0.018316
Wq = 0.2 n F13:F38
when t = 1 P0 G13
r = 0.8 Pn G13:G38
00.2 Time1 C9
35
36
37
38
A B C D E G H I J K
22 0.00147574
23 0.00118059
24 0.00094447
25 0.00075558
1
2
3
4
5
6
7
8
9
10
13
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 14 (mean arrival rate) L = 2.33333333 LG4
m = 20 (mean service rate)
Lq = 1.63333333 Lambda C4
s = 1 (# servers) Lq G5
W = 0.16666667 Mu C5
Pr(W > t) = 0.002479
Wq = 0.11666667 n F13:F38
when t = 1 P0 G13
r = 0.7 Pn G13:G38
00.3 Time1 C9
35
36
37
38
A B C D E G H I J K
22 0.00011729
23 8.2106E-05
24 5.7474E-05
25 4.0232E-05
1
2
3
4
5
6
7
8
9
10
13
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 30 (mean arrival rate) L = 3.42857143 LG4
m = 20 (mean service rate)
Lq = 1.92857143 Lambda C4
s = 2 (# servers) Lq G5
W = 0.11428571 Mu C5
Pr(W > t) = 5.84E-05
Wq = 0.06428571 n F13:F38
when t = 1 P0 G13
r = 0.75 Pn G13:G38
00.14285714 Time1 C9
35
36
37
38
A B C D E G H I J K
22 0.00050966
23 0.00038224
24 0.00028668
25 0.00021501
1
2
3
4
5
6
7
8
9
10
13
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 30 (mean arrival rate) L = 6.34318243 LG4
m = 17.55 (mean service rate)
Lq = 4.63378072 Lambda C4
s = 2 (# servers) Lq G5
W = 0.21143941 Mu C5
Pr(W > t) = 0.00677
Wq = 0.15445936 n F13:F38
when t = 1 P0 G13
r = 0.85470085 Pn G13:G38
00.07834101 Time1 C9
35
36
37
38
A B C D E G H I J K
22 0.00495371
23 0.00423394
24 0.00361875
25 0.00309295
1
2
3
4
5
6
7
8
9
10
13
A B C D E G H I J K
Template for the M/M/s Queueing Model
Data Results
Range Name
Cells
l = 10 (mean arrival rate) L = 2.4 LG4
m = 7.5 (mean service rate)
Lq = 1.06666667 Lambda C4
s = 2 (# servers) Lq G5
W = 0.24 Mu C5
Pr(W > t) = 0.010449
Wq = 0.10666667 n F13:F38
when t = 1 P0 G13
r = 0.66666667 Pn G13:G38
00.2 Time1 C9