Table 4 The results of experiments on number of services

FCFS

Max-Min

Min-Min

RR

100

8.46E+03

1.02E+04

1.23E+04

\(\mathbf {8.32E+03^{2}}\)

1.00E+04

1.29E+04

8.66E+04

1.06E+04

1.34E+04

9.31E+03

1.08E+04

1.37E+04

500

4.07E+04

4.38E+04

4.82E+04

4.09E+04

4.41E+04

4.84E+04

4.12E+04

4.36E+04

\(\mathbf {4.50E+04^{3}}\)

4.06E+04

4.33E+04

4.76E+04

1000

7.85E+04

8.46E+04

9.11E+04

7.79E+04

8.26E+04

8.77E+04

8.05E+04

8.45E+04

8.98E+04

7.79E+04

8.69E+04

9.40E+04

3000

\(\mathbf {2.24E+05^{3}}\)

2.34E+05

2.44E+05

2.30E+05

2.36E+05

2.45E+05

2.29E+05

2.34E+05

2.40E+05

2.25E+05

2.34E+05

2.50E+05

5000

3.81E+05

3.92E+05

4.15E+05

3.85E+05

3.97E+05

4.22E+05

3.72E+05

3.86E+05

4.01E+05

3.81E+05

3.89E+05

4.00E+05

6000

\(\mathbf {4.47E+05^{3}}\)

4.64E+05

4.81E+05

4.52E+05

4.64E+05

4.79E+05

4.58E+05

4.64E+05

4.80E+05

4.49E+05

4.60E+05

4.77E+05

7000

5.27E+05

5.39E+05

5.66E+05

\(\mathbf {5.15E+05^{3}}\)

5.29E+05

5.38E+05

5.21E+05

5.31E+05

5.46E+05

5.22E+05

5.37E+05

5.58E+05

8000

5.95E+05

6.07E+05

6.28E+05

6.03E+05

6.09E+05

6.21E+05

5.97E+05

6.10E+05

6.23E+05

5.98E+05

6.14E+05

6.46E+05

9000

6.71E+05

6.82E+05

6.97E+05

\(\mathbf {6.59E+05^{3}}\)

6.76E+05

6.95E+05

6.62E+05

6.78E+05

6.89E+05

6.71E+05

6.88E+05

7.00E+05

10000

7.38E+05

7.52E+05

7.63E+05

7.34E+05

7.53E+05

\(\mathbf {7.56E+05^{3}}\)

7.39E+05

7.52E+05

7.63E+05

7.39E+05

7.52E+05

7.68E+05

PSO

GA

RHGA

100

8.66E+03

9.11E+03

\(\mathbf {1.03E+04^{2}}\)

\(\mathbf {8.35E+03^{3}}\)

8.86E+03

\(\mathbf {1.18E+04^{3}}\)

\(\mathbf {6.96E+03^{1}}\)

\(\mathbf {7.10E+03}\)

\(\mathbf {7.36E+03^{1}}\)

500

\(\mathbf {3.87E+04^{2}}\)

4.15E+04

\(\mathbf {4.34E+04^{2}}\)

\(\mathbf {3.91E+04^{3}}\)

4.34E+04

4.57E+04

\(\mathbf {3.54E+04^{1}}\)

\(\mathbf {3.60E+04}\)

\(\mathbf {3.65E+04^{1}}\)

1000

\(\mathbf {7.51E+04^{2}}\)

8.07E+04

8.41E+04

\(\mathbf {7.59E+04^{3}}\)

7.90E+04

\(\mathbf {8.16E+04^{2}}\)

\(\mathbf {7.09E+04^{1}}\)

\(\mathbf {7.26E+04}\)

\(\mathbf {8.06E+04^{1}}\)

3000

2.25E+05

2.30E+05

\(\mathbf {2.34E+05^{2}}\)

\(\mathbf {2.24E+05^{2}}\)

2.28E+05

\(\mathbf {2.36E+05^{3}}\)

\(\mathbf {2.14E+05^{1}}\)

\(\mathbf {2.15E+05}\)

\(\mathbf {2.16E+05^{1}}\)

5000

\(\mathbf {3.72E+05^{3}}\)

3.80E+05

\(\mathbf {3.84E+05^{3}}\)

\(\mathbf { 3.70E+05^{2}}\)

3.77E+05

\(\mathbf {3.83E+05^{2}}\)

\(\mathbf {3.58E+05^{1}}\)

\(\mathbf {3.63E+05}\)

\(\mathbf {3.80E+05^{1}}\)

6000

4.48E+05

4.55E+05

\(\mathbf {4.65E+05^{3}}\)

\(\mathbf {4.43E+05^{2}}\)

4.53E+05

\(\mathbf {4.58E+05^{2}}\)

\(\mathbf {4.30E+05^{1}}\)

\(\mathbf {4.32E+05}\)

\(\mathbf {4.34E+05^{1}}\)

7000

5.18E+05

5.24E+05

\(\mathbf {5.30E+05^{3}}\)

\(\mathbf {5.10E+05^{2}}\)

5.18E+05

\(\mathbf {5.23E+05^{2}}\)

\(\mathbf {5.03E+05^{1}}\)

\(\mathbf {5.08E+05}\)

\(\mathbf {5.17E+05^{1}}\)

8000

\(\mathbf {5.93E+05^{3}}\)

6.02E+05

\(\mathbf {6.08E+05^{2}}\)

\(\mathbf {5.90E+05^{2}}\)

5.99E+05

\(\mathbf {6.10E+05^{3}}\)

\(\mathbf {5.74E+05^{1}}\)

\(\mathbf {5.76E+05}\)

\(\mathbf {5.77E+05^{1}}\)

9000

6.61E+05

6.71E+05

\(\mathbf {6.80E+05^{3}}\)

\(\mathbf {6.57E+05^{2}}\)

6.69E+05

\(\mathbf {6.79E+05^{2}}\)

\(\mathbf {6.45E+05^{1}}\)

\(\mathbf {6.47E+05}\)

\(\mathbf {6.50E+05^{1}}\)