Discrete Dynamics in Nature and Society

Research Article

A Hybrid Artificial Bee Colony Algorithm for the Service Selection Problem

Table 4

The utilities obtained by the compared algorithms max/min/ave (std.).
AlgorithmCase 1Case 2Case 3Case 4
DiGA0.8327/0.7876/0.8139 (0.0084)0.7452/0.7131/0.7289 (0.0045)0.6418/0.6091/0.6245 (0.0020)0.3781/0.2237/0.3068 (0.0486)
SPSO0.8435/0.8037/0.8345 (0.0062)0.7564/0.7242/0.7425 (0.0036)0.6680/0.6218/0.6684 (0.0060)0.4319/0.3080/0.3888 (0.0412)
MA0.8445/0.8037/0.8226 (0.0115)0.7476/0.7236/0.7364 (0.0028)0.6419/0.6108/0.6298 (0.0055)0.3968/0.2788/0.3442 (0.0380)
MPDACO0.8435/0.8243/0.8376 (0.0055)0.7858/0.7553/0.7750 (0.0032)0.6913/0.6633/0.6750 (0.0042)0.4369/0.4261/0.4321 (0.0036)
h-ABC0.9083/0.9083/0.9083  (0.0000)0.8582/0.8544/0.8562  (0.0010)0.8080/0.7980/0.8068  (0.0001)0.5245/0.5143/0.5170  (0.0020)
AlgorithmCase 5Case 6Case 7Case 8
DiGA0.3800/0.2197/0.2894 (0.0537)0.3358/0.2010/0.2583 (0.0497)0.4051/0.2045/0.2983 (0.0618)0.3744/0.2163/0.2902 (0.0632)
SPSO0.3892/0.2288/0.3510 (0.0578)0.3646/0.2352/0.3010 (0.0409)0.4056/0.2422/0.3597 (0.0561)0.3893/0.2744/0.3367 (0.0433)
MA0.3833/0.2274/0.3161 (0.0478)0.3451/0.2082/0.2731 (0.0493)0.4055/0.2410/0.3290 (0.0506)0.3803/0.2229/0.3124 (0.0564)
MPDACO0.4024/0.3940/0.3976 (0.0030)0.3727/0.3615/0.3653 (0.0030)0.4074/0.3987/0.4017 (0.0020)0.3935/0.3798/0.3859 (0.0046)
h-ABC0.5108/0.4901/0.5026  (0.0051)0.4788/0.4569/0.4650  (0.0048)0.5045/0.4980/0.5002  (0.0025)0.4490/0.4392/0.4405  (0.0010)
AlgorithmCase 9Case 10Case 11Case 12
DiGA0.3651/0.2013/0.3040 (0.0519)0.4133/0.2178/0.3213 (0.0613)0.3896/0.2086/0.3044 (0.0649)0.3564/0.2248/0.2898 (0.0439)
SPSO0.3651/0.2244/0.3363 (0.0376)0.4313/0.2565/0.3665 (0.0527)0.3926/0.2830/0.3609 (0.0345)0.3576/0.2588/0.3301 (0.0306)
MA0.3651/0.2130/0.3195 (0.0433)0.4146/0.2068/0.3397 (0.0577)0.3927/0.2646/0.3336 (0.0443)0.3565/0.2500/0.3159 (0.0372)
MPDACO0.3720/0.3668/0.3684 (0.0014)0.4457/0.4311/0.4378 (0.0043)0.4104/0.3594/0.3945 (0.0123)0.3722/0.3555/0.3621 (0.0044)
h-ABC0.4285/0.4190/0.4225  (0.0022)0.5290/0.5230/0.5268  (0.0022)0.5382/0.4825/0.5105  (0.0124)0.4690/0.4562/0.4630  (0.0044)