queue temp

8/2/2019 Queue Temp

1/24

M/M/k Queuing Model

INPUTS Value INPUTS Value

Lambda = 50 0

Mu = 61.52 10

5

OUTPUTS

# Servers L Lq W Wq Pw Rho Cost 0

1 4.340278 3.527534 0.086806 0.070551 0.812744 0.812744 39.33906 0.187256

2 0.973507 0.160763 0.01947 0.003215 0.234843 0.406372 5.67135 0.422099

3 0.832871 0.020127 0.016657 0.000403 0.054165 0.270915 4.264987 0.441356

4 0.815324 0.00258 0.016306 5.16E-05 0.010117 0.203186 4.089517 0.443397

5 0.813048 0.000304 0.016261 6.08E-06 0.001565 0.162549 4.066758 0.443615

6 0.812776 3.22E-05 0.016256 6.44E-07 0.000205 0.135457 4.064041 0.443637

7 0.812747 3.06E-06 0.016255 6.13E-08 2.33E-05 0.116106 4.06375 0.443639

8 0.812744 2.64E-07 0.016255 5.27E-09 2.33E-06 0.101593 4.063722 0.443639

9 0.812744 2.06E-08 0.016255 4.13E-10 2.08E-07 0.090305 4.063719 0.44363910 0.812744 1.48E-09 0.016255 2.96E-11 1.67E-08 0.081274 4.063719 0.443639

11 0.812744 9.79E-11 0.016255 1.96E-12 1.23E-09 0.073886 4.063719 0.443639

12 0.812744 6E-12 0.016255 1.2E-13 8.25E-11 0.067729 4.063719 0.443639

13 0.812744 3.42E-13 0.016255 6.84E-15 5.13E-12 0.062519 4.063719 0.443639

14 0.812744 1.83E-14 0.016255 3.66E-16 2.96E-13 0.058053 4.063719 0.443639

15 0.812744 8.88E-16 0.016255 1.78E-17 1.6E-14 0.054183 4.063719 0.443639

16 0.812744 0 0.016255 0 8.1E-16 0.050796 4.063719 0.443639

17 0.812744 0 0.016255 0 3.86E-17 0.047808 4.063719 0.443639

18 0.812744 0 0.016255 0 1.74E-18 0.045152 4.063719 0.443639

19 0.812744 0 0.016255 0 7.41E-20 0.042776 4.063719 0.443639

20 0.812744 0 0.016255 0 3.01E-21 0.040637 4.063719 0.443639

21 0.812744 0 0.016255 0 1.16E-22 0.038702 4.063719 0.443639

22 0.812744 0 0.016255 0 4.28E-24 0.036943 4.063719 0.44363923 0.812744 0 0.016255 0 1.51E-25 0.035337 4.063719 0.443639

24 0.812744 0 0.016255 0 5.11E-27 0.033864 4.063719 0.443639

25 0.812744 0 0.016255 0 1.66E-28 0.03251 4.063719 0.443639

26 0.812744 0 0.016255 0 5.18E-30 0.031259 4.063719 0.443639

27 0.812744 0 0.016255 0 1.56E-31 0.030102 4.063719 0.443639

28 0.812744 0 0.016255 0 4.51E-33 0.029027 4.063719 0.443639

29 0.812744 0 0.016255 0 1.26E-34 0.028026 4.063719 0.443639

30 0.812744 0 0.016255 0 3.42E-36 0.027091 4.063719 0.443639

Server Cost =

Goodwill Cost When Waiting =

Goodwill Cost While Being Served =

Probabiility

in the Syst

8/2/2019 Queue Temp

2/24

1 2 3 4 5 6 7 8 9

0.152191 0.123693 0.10053 0.081705 0.066406 0.053971 0.043864 0.03565 0.028975

0.343058 0.139409 0.056652 0.023022 0.009355 0.003802 0.001545 0.000628 0.000255

0.358709 0.145769 0.039491 0.010699 0.002898 0.000785 0.000213 5.76E-05 1.56E-05

0.360369 0.146444 0.039674 0.008061 0.001638 0.000333 6.76E-05 1.37E-05 2.79E-06

0.360546 0.146516 0.039693 0.008065 0.001311 0.000213 3.46E-05 5.63E-06 9.15E-07

0.360563 0.146523 0.039695 0.008065 0.001311 0.000178 2.41E-05 3.26E-06 4.41E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.39E-06 2.78E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 2.13E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-070.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-070.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

of n Customers

m where n =

8/2/2019 Queue Temp

3/24

10 11 12 13 14 15 16 17 18

0.023549 0.019139 0.015555 0.012643 0.010275 0.008351 0.006787 0.005516 0.004483

0.000104 4.21E-05 1.71E-05 6.96E-06 2.83E-06 1.15E-06 4.67E-07 1.9E-07 7.71E-08

4.23E-06 1.15E-06 3.1E-07 8.41E-08 2.28E-08 6.17E-09 1.67E-09 4.53E-10 1.23E-10

5.67E-07 1.15E-07 2.34E-08 4.76E-09 9.67E-10 1.96E-10 3.99E-11 8.11E-12 1.65E-12

1.49E-07 2.42E-08 3.93E-09 6.39E-10 1.04E-10 1.69E-11 2.74E-12 4.46E-13 7.25E-14

5.98E-08 8.1E-09 1.1E-09 1.49E-10 2.01E-11 2.73E-12 3.69E-13 5E-14 6.78E-15

3.23E-08 3.75E-09 4.35E-10 5.05E-11 5.86E-12 6.81E-13 7.91E-14 9.18E-15 1.07E-15

2.16E-08 2.2E-09 2.23E-10 2.27E-11 2.3E-12 2.34E-13 2.38E-14 2.41E-15 2.45E-16

1.71E-08 1.54E-09 1.39E-10 1.26E-11 1.14E-12 1.03E-13 9.26E-15 8.37E-16 7.56E-171.54E-08 1.25E-09 1.02E-10 8.25E-12 6.71E-13 5.45E-14 4.43E-15 3.6E-16 2.93E-17

1.54E-08 1.14E-09 8.39E-11 6.2E-12 4.58E-13 3.39E-14 2.5E-15 1.85E-16 1.37E-17

1.54E-08 1.14E-09 7.69E-11 5.21E-12 3.53E-13 2.39E-14 1.62E-15 1.1E-16 7.43E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 3.01E-13 1.88E-14 1.18E-15 7.35E-17 4.59E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.62E-14 9.41E-16 5.46E-17 3.17E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 8.2E-16 4.44E-17 2.41E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.9E-17 1.98E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.76E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18


1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

8/2/2019 Queue Temp

4/24

19 20 21 22 23 24 25 26 27

0.003644 0.002961 0.002407 0.001956 0.00159 0.001292 0.00105 0.000854 0.000694

3.13E-08 1.27E-08 5.17E-09 2.1E-09 8.54E-10 3.47E-10 1.41E-10 5.73E-11 2.33E-11

3.33E-11 9.01E-12 2.44E-12 6.61E-13 1.79E-13 4.85E-14 1.31E-14 3.56E-15 9.65E-16

3.35E-13 6.8E-14 1.38E-14 2.81E-15 5.71E-16 1.16E-16 2.36E-17 4.79E-18 9.73E-19

1.18E-14 1.92E-15 3.11E-16 5.06E-17 8.23E-18 1.34E-18 2.17E-19 3.53E-20 5.74E-21

9.18E-16 1.24E-16 1.68E-17 2.28E-18 3.09E-19 4.19E-20 5.67E-21 7.68E-22 1.04E-22

1.24E-16 1.44E-17 1.67E-18 1.94E-19 2.25E-20 2.61E-21 3.03E-22 3.52E-23 4.09E-24

2.49E-17 2.53E-18 2.57E-19 2.61E-20 2.66E-21 2.7E-22 2.74E-23 2.78E-24 2.83E-25


1.01E-18 7.45E-20 5.51E-21 4.07E-22 3.01E-23 2.22E-24 1.64E-25 1.21E-26 8.96E-28

5.03E-19 3.41E-20 2.31E-21 1.56E-22 1.06E-23 7.17E-25 4.85E-26 3.29E-27 2.23E-28

2.87E-19 1.8E-20 1.12E-21 7.02E-23 4.39E-24 2.74E-25 1.72E-26 1.07E-27 6.7E-29

1.84E-19 1.07E-20 6.21E-22 3.6E-23 2.09E-24 1.21E-25 7.05E-27 4.09E-28 2.38E-29

1.3E-19 7.07E-21 3.83E-22 2.07E-23 1.12E-24 6.09E-26 3.3E-27 1.79E-28 9.69E-30

1.01E-19 5.12E-21 2.6E-22 1.32E-23 6.71E-25 3.41E-26 1.73E-27 8.79E-29 4.47E-30

8.4E-20 4.02E-21 1.92E-22 9.18E-24 4.39E-25 2.1E-26 1E-27 4.79E-29 2.29E-30

7.49E-20 3.38E-21 1.53E-22 6.9E-24 3.11E-25 1.41E-26 6.35E-28 2.87E-29 1.29E-30

7.1E-20 3.04E-21 1.3E-22 5.55E-24 2.38E-25 1.02E-26 4.35E-28 1.86E-29 7.96E-31

7.1E-20 2.88E-21 1.17E-22 4.76E-24 1.94E-25 7.86E-27 3.2E-28 1.3E-29 5.28E-31

7.1E-20 2.88E-21 1.12E-22 4.32E-24 1.67E-25 6.47E-27 2.5E-28 9.69E-30 3.75E-31


7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.67E-28 5.66E-30 1.92E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.21E-30 1.7E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.57E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

8/2/2019 Queue Temp

5/24

28 29 30 >30

0.000564 0.000458 0.000372 0.001616456

9.47E-12 3.85E-12 1.56E-12 1.07025E-12

2.61E-16 7.08E-17 1.92E-17 4.44089E-16

1.98E-19 4.02E-20 8.16E-21 -4.44089E-16

9.34E-22 1.52E-22 2.47E-23 0

1.41E-23 1.91E-24 2.59E-25 2.22045E-16

4.75E-25 5.51E-26 6.4E-27 1.11022E-16

2.87E-26 2.92E-27 2.97E-28 0

2.72E-27 2.46E-28 2.22E-29 1.11022E-163.68E-28 2.99E-29 2.43E-30 3.33067E-16

6.62E-29 4.89E-30 3.61E-31 1.11022E-16

1.51E-29 1.02E-30 6.92E-32 3.33067E-16

4.19E-30 2.62E-31 1.64E-32 1.11022E-16

1.38E-30 8E-32 4.65E-33 3.33067E-16

5.25E-31 2.84E-32 1.54E-33 1.11022E-16

2.27E-31 1.15E-32 5.85E-34 1.11022E-16

1.1E-31 5.24E-33 2.5E-34 1.11022E-16

5.84E-32 2.64E-33 1.19E-34 1.11022E-16

3.4E-32 1.46E-33 6.23E-35 1.11022E-16

2.14E-32 8.72E-34 3.54E-35 1.11022E-16

1.45E-32 5.62E-34 2.17E-35 1.11022E-16

1.05E-32 3.87E-34 1.43E-35 1.11022E-168.03E-33 2.84E-34 1E-35 1.11022E-16

6.49E-33 2.2E-34 7.44E-36 1.11022E-16

5.51E-33 1.79E-34 5.82E-36 1.11022E-16

4.9E-33 1.53E-34 4.79E-36 1.11022E-16

4.54E-33 1.37E-34 4.12E-36 1.11022E-16

4.38E-33 1.27E-34 3.69E-36 1.11022E-16

4.38E-33 1.23E-34 3.44E-36 1.11022E-16

4.38E-33 1.23E-34 3.33E-36 1.11022E-16

8/2/2019 Queue Temp

6/24

M/M/k Queuing Model


Lambda = 50 0

Mu = 61.52 10

5

OUTPUTS


1 4.340278 3.527534 0.086806 0.070551 0.812744 0.812744 39.33906 0.187256

2 0.973507 0.160763 0.01947 0.003215 0.234843 0.406372 5.67135 0.422099

3 0.832871 0.020127 0.016657 0.000403 0.054165 0.270915 4.264987 0.441356

4 0.815324 0.00258 0.016306 5.16E-05 0.010117 0.203186 4.089517 0.443397

5 0.813048 0.000304 0.016261 6.08E-06 0.001565 0.162549 4.066758 0.443615

6 0.812776 3.22E-05 0.016256 6.44E-07 0.000205 0.135457 4.064041 0.443637

7 0.812747 3.06E-06 0.016255 6.13E-08 2.33E-05 0.116106 4.06375 0.443639

8 0.812744 2.64E-07 0.016255 5.27E-09 2.33E-06 0.101593 4.063722 0.443639

9 0.812744 2.06E-08 0.016255 4.13E-10 2.08E-07 0.090305 4.063719 0.44363910 0.812744 1.48E-09 0.016255 2.96E-11 1.67E-08 0.081274 4.063719 0.443639

11 0.812744 9.79E-11 0.016255 1.96E-12 1.23E-09 0.073886 4.063719 0.443639

12 0.812744 6E-12 0.016255 1.2E-13 8.25E-11 0.067729 4.063719 0.443639

13 0.812744 3.42E-13 0.016255 6.84E-15 5.13E-12 0.062519 4.063719 0.443639

14 0.812744 1.83E-14 0.016255 3.66E-16 2.96E-13 0.058053 4.063719 0.443639

15 0.812744 8.88E-16 0.016255 1.78E-17 1.6E-14 0.054183 4.063719 0.443639

16 0.812744 0 0.016255 0 8.1E-16 0.050796 4.063719 0.443639

17 0.812744 0 0.016255 0 3.86E-17 0.047808 4.063719 0.443639

18 0.812744 0 0.016255 0 1.74E-18 0.045152 4.063719 0.443639

19 0.812744 0 0.016255 0 7.41E-20 0.042776 4.063719 0.443639

20 0.812744 0 0.016255 0 3.01E-21 0.040637 4.063719 0.443639

21 0.812744 0 0.016255 0 1.16E-22 0.038702 4.063719 0.443639

22 0.812744 0 0.016255 0 4.28E-24 0.036943 4.063719 0.44363923 0.812744 0 0.016255 0 1.51E-25 0.035337 4.063719 0.443639

24 0.812744 0 0.016255 0 5.11E-27 0.033864 4.063719 0.443639

25 0.812744 0 0.016255 0 1.66E-28 0.03251 4.063719 0.443639

26 0.812744 0 0.016255 0 5.18E-30 0.031259 4.063719 0.443639

27 0.812744 0 0.016255 0 1.56E-31 0.030102 4.063719 0.443639

28 0.812744 0 0.016255 0 4.51E-33 0.029027 4.063719 0.443639

29 0.812744 0 0.016255 0 1.26E-34 0.028026 4.063719 0.443639

30 0.812744 0 0.016255 0 3.42E-36 0.027091 4.063719 0.443639

in the Syst

Probabiility

Server Cost =



8/2/2019 Queue Temp

7/24

1 2 3 4 5 6 7 8 9

0.152191 0.123693 0.10053 0.081705 0.066406 0.053971 0.043864 0.03565 0.028975

0.343058 0.139409 0.056652 0.023022 0.009355 0.003802 0.001545 0.000628 0.000255

0.358709 0.145769 0.039491 0.010699 0.002898 0.000785 0.000213 5.76E-05 1.56E-05

0.360369 0.146444 0.039674 0.008061 0.001638 0.000333 6.76E-05 1.37E-05 2.79E-06

0.360546 0.146516 0.039693 0.008065 0.001311 0.000213 3.46E-05 5.63E-06 9.15E-07

0.360563 0.146523 0.039695 0.008065 0.001311 0.000178 2.41E-05 3.26E-06 4.41E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.39E-06 2.78E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 2.13E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-070.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-070.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

0.360565 0.146523 0.039695 0.008066 0.001311 0.000178 2.06E-05 2.09E-06 1.89E-07

m where n =

of n Customers

8/2/2019 Queue Temp

8/24

10 11 12 13 14 15 16 17 18

0.023549 0.019139 0.015555 0.012643 0.010275 0.008351 0.006787 0.005516 0.004483

0.000104 4.21E-05 1.71E-05 6.96E-06 2.83E-06 1.15E-06 4.67E-07 1.9E-07 7.71E-08

4.23E-06 1.15E-06 3.1E-07 8.41E-08 2.28E-08 6.17E-09 1.67E-09 4.53E-10 1.23E-10

5.67E-07 1.15E-07 2.34E-08 4.76E-09 9.67E-10 1.96E-10 3.99E-11 8.11E-12 1.65E-12

1.49E-07 2.42E-08 3.93E-09 6.39E-10 1.04E-10 1.69E-11 2.74E-12 4.46E-13 7.25E-14

5.98E-08 8.1E-09 1.1E-09 1.49E-10 2.01E-11 2.73E-12 3.69E-13 5E-14 6.78E-15

3.23E-08 3.75E-09 4.35E-10 5.05E-11 5.86E-12 6.81E-13 7.91E-14 9.18E-15 1.07E-15

2.16E-08 2.2E-09 2.23E-10 2.27E-11 2.3E-12 2.34E-13 2.38E-14 2.41E-15 2.45E-16


1.54E-08 1.14E-09 8.39E-11 6.2E-12 4.58E-13 3.39E-14 2.5E-15 1.85E-16 1.37E-17

1.54E-08 1.14E-09 7.69E-11 5.21E-12 3.53E-13 2.39E-14 1.62E-15 1.1E-16 7.43E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 3.01E-13 1.88E-14 1.18E-15 7.35E-17 4.59E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.62E-14 9.41E-16 5.46E-17 3.17E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 8.2E-16 4.44E-17 2.41E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.9E-17 1.98E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.76E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18


1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

1.54E-08 1.14E-09 7.69E-11 4.81E-12 2.79E-13 1.51E-14 7.69E-16 3.67E-17 1.66E-18

8/2/2019 Queue Temp

9/24

19 20 21 22 23 24 25 26 27

0.003644 0.002961 0.002407 0.001956 0.00159 0.001292 0.00105 0.000854 0.000694

3.13E-08 1.27E-08 5.17E-09 2.1E-09 8.54E-10 3.47E-10 1.41E-10 5.73E-11 2.33E-11

3.33E-11 9.01E-12 2.44E-12 6.61E-13 1.79E-13 4.85E-14 1.31E-14 3.56E-15 9.65E-16

3.35E-13 6.8E-14 1.38E-14 2.81E-15 5.71E-16 1.16E-16 2.36E-17 4.79E-18 9.73E-19

1.18E-14 1.92E-15 3.11E-16 5.06E-17 8.23E-18 1.34E-18 2.17E-19 3.53E-20 5.74E-21

9.18E-16 1.24E-16 1.68E-17 2.28E-18 3.09E-19 4.19E-20 5.67E-21 7.68E-22 1.04E-22

1.24E-16 1.44E-17 1.67E-18 1.94E-19 2.25E-20 2.61E-21 3.03E-22 3.52E-23 4.09E-24

2.49E-17 2.53E-18 2.57E-19 2.61E-20 2.66E-21 2.7E-22 2.74E-23 2.78E-24 2.83E-25


1.01E-18 7.45E-20 5.51E-21 4.07E-22 3.01E-23 2.22E-24 1.64E-25 1.21E-26 8.96E-28

5.03E-19 3.41E-20 2.31E-21 1.56E-22 1.06E-23 7.17E-25 4.85E-26 3.29E-27 2.23E-28

2.87E-19 1.8E-20 1.12E-21 7.02E-23 4.39E-24 2.74E-25 1.72E-26 1.07E-27 6.7E-29

1.84E-19 1.07E-20 6.21E-22 3.6E-23 2.09E-24 1.21E-25 7.05E-27 4.09E-28 2.38E-29

1.3E-19 7.07E-21 3.83E-22 2.07E-23 1.12E-24 6.09E-26 3.3E-27 1.79E-28 9.69E-30

1.01E-19 5.12E-21 2.6E-22 1.32E-23 6.71E-25 3.41E-26 1.73E-27 8.79E-29 4.47E-30

8.4E-20 4.02E-21 1.92E-22 9.18E-24 4.39E-25 2.1E-26 1E-27 4.79E-29 2.29E-30

7.49E-20 3.38E-21 1.53E-22 6.9E-24 3.11E-25 1.41E-26 6.35E-28 2.87E-29 1.29E-30

7.1E-20 3.04E-21 1.3E-22 5.55E-24 2.38E-25 1.02E-26 4.35E-28 1.86E-29 7.96E-31

7.1E-20 2.88E-21 1.17E-22 4.76E-24 1.94E-25 7.86E-27 3.2E-28 1.3E-29 5.28E-31

7.1E-20 2.88E-21 1.12E-22 4.32E-24 1.67E-25 6.47E-27 2.5E-28 9.69E-30 3.75E-31


7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.67E-28 5.66E-30 1.92E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.21E-30 1.7E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.57E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

7.1E-20 2.88E-21 1.12E-22 4.12E-24 1.46E-25 4.93E-27 1.6E-28 5.01E-30 1.51E-31

8/2/2019 Queue Temp

10/24

28 29 30 >30

0.000564 0.000458 0.000372 0.001616456

9.47E-12 3.85E-12 1.56E-12 1.07025E-12

2.61E-16 7.08E-17 1.92E-17 4.44089E-16

1.98E-19 4.02E-20 8.16E-21 -4.44089E-16

9.34E-22 1.52E-22 2.47E-23 0

1.41E-23 1.91E-24 2.59E-25 2.22045E-16

4.75E-25 5.51E-26 6.4E-27 1.11022E-16

2.87E-26 2.92E-27 2.97E-28 0

2.72E-27 2.46E-28 2.22E-29 1.11022E-163.68E-28 2.99E-29 2.43E-30 3.33067E-16

6.62E-29 4.89E-30 3.61E-31 1.11022E-16

1.51E-29 1.02E-30 6.92E-32 3.33067E-16

4.19E-30 2.62E-31 1.64E-32 1.11022E-16

1.38E-30 8E-32 4.65E-33 3.33067E-16

5.25E-31 2.84E-32 1.54E-33 1.11022E-16

2.27E-31 1.15E-32 5.85E-34 1.11022E-16

1.1E-31 5.24E-33 2.5E-34 1.11022E-16

5.84E-32 2.64E-33 1.19E-34 1.11022E-16

3.4E-32 1.46E-33 6.23E-35 1.11022E-16

2.14E-32 8.72E-34 3.54E-35 1.11022E-16

1.45E-32 5.62E-34 2.17E-35 1.11022E-16

1.05E-32 3.87E-34 1.43E-35 1.11022E-168.03E-33 2.84E-34 1E-35 1.11022E-16

6.49E-33 2.2E-34 7.44E-36 1.11022E-16

5.51E-33 1.79E-34 5.82E-36 1.11022E-16

4.9E-33 1.53E-34 4.79E-36 1.11022E-16

4.54E-33 1.37E-34 4.12E-36 1.11022E-16

4.38E-33 1.27E-34 3.69E-36 1.11022E-16

4.38E-33 1.23E-34 3.44E-36 1.11022E-16

4.38E-33 1.23E-34 3.33E-36 1.11022E-16

8/2/2019 Queue Temp

11/24

M/En/1 Queuing Model

INPUTS Value

n =

CALCULATED VALUE

OUTPUTS

# Servers L Lq W Wq Pw Rho P01

Lambda =

Mu =

Standard Deviation =

8/2/2019 Queue Temp

12/24

M/G/1 Queuing Model

INPUTS Value

OUTPUTS


Lambda =

Mu =

Standard Deviation =

8/2/2019 Queue Temp

13/24

M/M/1//m Queuing Model

INPUTS Value

Mu =

Probabiility of n Customers

OUTPUTS in the System where n =

# Servers L Lq W Wq Pw Rho 0 1 2

1

Lambda =

m =

8/2/2019 Queue Temp

14/24

M/G/k/k Queuing Model

INPUTS Value

OUTPUTS

# Servers L Lq W Wq Pw Rho 0 1

in the System where n

Probabiility of n Custo

Lambda =

Mu =

k =

8/2/2019 Queue Temp

15/24

2 3 4 5 6 7 8 9 10

=

ers

8/2/2019 Queue Temp

16/24

11 12 13 14 15 16 17 18 19

8/2/2019 Queue Temp

17/24

20 21 22 23 24 25 26 27 28

8/2/2019 Queue Temp

18/24

29 30

8/2/2019 Queue Temp

19/24

M/M/k/F Queuing Model -- Note to use this model F must be greater than k.


Lambda =

Mu =

k =

F (System Capacity) =

OUTPUTS


in the Syst

Server Cost =



Probabiility

8/2/2019 Queue Temp

20/24

1 2 3 4 5 6 7 8 9

m where n =

of n Customers

8/2/2019 Queue Temp

21/24

10 11 12 13 14 15 16 17 18

8/2/2019 Queue Temp

22/24

19 20 21 22 23 24 25 26 27

8/2/2019 Queue Temp

23/24

28 29 30 >30

8/2/2019 Queue Temp

24/24

M/D/1 Queuing Model

INPUTS Value

OUTPUTS


Lambda =

Mu =

queue temp

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