Table 1.
Summary of literature pertinent to scheduling problem with tool allocation published in recent years.
Fig 1.
Scenario of the proposed BFJSP-TA.
Table 2.
Notations of BFJSP-TA.
Fig 2.
Illustration of the proposed coding method.
Fig 3.
Illustration of the proposed chaotic initialization method.
Fig 4.
Scheme of MPX.
Fig 5.
Illustration of the proposed neighborhood structures.
Table 3.
Parameter settings of the comparative algorithms.
Table 4.
Orthogonal experiment results for parameter tuning and range analysis.
Table 5.
Statistical results of evaluation metrics by KTLBO with its variants.
Table 6.
Statistical results of evaluation metrics by KTLBO and its comparisons.
Fig 6.
Violin plot of IGD metrics.
Table 7.
Average ranking values of algorithms by Friedman test.
Table 8.
Statistics results by the Wilcoxon signed-rank test ( = 0.05).
Table 9.
Comparison results of KTLBO and Gurobi on small-scale instances.
Fig 7.
Pareto front obtained by collaborative optimization (CO) and sequential optimization (SO1-5).