Mathematical Problems in Engineering / 2018 / Article / Tab 3

Research Article

Assembly Line Balancing Based on Beam Ant Colony Optimisation

Table 3

(a) Statistical description of precedence graphs of random instances.

OS levelOSNumber of stagesNumber Of beginning nodesNumber Of ending nodesNumber of pairs precedence relations

0.20.2084032551
0.60.6074034862
0.90.90450271079

(b) Statistical description of processing times of random instances.

Statistical information for processing times Information for normal distributions used
TV levelMeanVarTVTypemeanstd.

5-15253.9025899.5423545713.0570.0350.457Bottom25080
501.93822247.1066385513.5720.0630.855central500150
825.69819925.7206999914.4780.0690.999bimodal250 (750)100 (250)
65-75251.1456878.485853967.3750.0080.539Bottom25080
502.03521738.5501498570.3570.0140.985central500150
816.79523440.3241499971.3570.0140.999bimodal250 (750)100 (250)
135-145253.1256818.0704577144.250.0040.577Bottom25080
500.29725632.0597978139.7140.0070.978central500150
832.47219895.0627999142.7140.0070.999bimodal250 (750)100 (250)

Note. Figures in the brackets of last two columns are means and standard deviations of one normal distribution, which is used to generate a bimodal distribution.

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