Research Article

Finite Queueing Modeling and Optimization: A Selected Review

Table 3

Results for the joint buffer-server allocation problem.


5.0 0.5 1 : 8 (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) 48 48 0 4.9996 5.76
1 : 4 (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) 48 48 0 4.9996 10.0
1 : 2 (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) 48 48 0 4.9996 16.4
1 : 1 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9998 22.2
2 : 1 (2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 32 44 12 4.9989 26.5
4 : 1 (3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3) (3 5 5 5 5 3 3 3 3 3 3 3 3 5 5 3) 20 60 40 4.9974 26.6
8 : 1 (1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1) (11 6 6 6 6 4 4 4 4 4 4 4 4 6 6 11) 16 90 74 4.9994 23.0
1.0 1 : 8 (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3) 48 48 0 4.9994 5.94
1 : 4 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9997 9.09
1 : 2 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9997 15.0
1 : 1 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9997 22.3
2 : 1 (3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3) (3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3) 34 40 6 4.9984 26.2
4 : 1 (2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 3) (6 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4) 25 60 35 4.9989 28.1
8 : 1 (1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1) (13 6 6 6 6 4 4 4 4 4 4 4 4 6 6 13) 16 94 78 4.9987 24.1
1.5 1 : 8 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9996 5.24
1 : 4 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9996 9.15
1 : 2 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9996 15.0
1 : 1 (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) (5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 5) 44 44 0 4.9996 22.4
2 : 1 (3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3) (3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3) 34 40 6 4.9979 26.8
4 : 1 (2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 3) (6 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4) 25 60 35 4.9983 28.7
8 : 1 (1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1) (15 7 7 7 7 4 4 4 4 4 4 4 4 7 7 15) 16 104 88 4.9986 25.4