Table 3 Performance comparison of MSC-PSO with NSGA-II and MOEA/D (30 independent operation results, Mean ± Standard Deviation).

From: Optimization of power grid material warehousing and supply chain distribution path planning based on improved PSO algorithm

Indicator

MSC-PSO

NSGA-II

MOEA/D

Pareto coverage rate (%)

96.78 ± 1.15

89.12 ± 2.30

91.45 ± 1.88

HV

0.842 ± 0.009

0.776 ± 0.018

0.803 ± 0.014

Average delivery cost ($)

23,451 ± 310

26,780 ± 870

25,500 ± 620

Average solution time (s/time)

1.17 ± 0.06

2.05 ± 0.12

1.62 ± 0.09

Convergent Algebra

45 ± 4

78 ± 7

60 ± 5

Cost standard deviation ($)

310

870

620

  1. Note: All algorithms were independently run 30 times under the same evaluation function and random seed strategy; Using a two sample t-test on HV and average cost, MSC-PSO showed significant differences compared to the two control methods at p < 0.05.