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A good agreement between the obtained solution and some well-known results has been demonstrated.
Relative percentage deviation is defined as the relative difference between the obtained solution and the best solution for a given instance.
The reduction in the gap between the obtained solution and the lower-bound due to AugNN over single-pass heuristics ranged from 24.4%to50%0%.
Nevertheless, the L-CG-MEC approach provides the gap between the obtained solution and the optimal one, even when the algorithm is stopped before completion.
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Two series of paired t test were conducted to analyze significant difference between the obtained solutions of the metaheurstic algorithms for two states of ignoring reliability and considering reliability, respectively.
The obtained solution serves as starting solution for LNS.
Filter the obtained solution.
We verified that the reported results are robust to changes in the value of β m by varying it between 0.75 and 0.99 and analyzing the obtained solutions.
The obtained solutions were proceeded as described.
For statistics is used the percentage relative error, (PER) where the absolute error is the absolute difference between best solution and the obtain solution from Table 1.
As indicated in Table 2, negative gap in the test problem ten which is the gap between the best obtained solution of GAMS in the time limitation of 1000 s which is not optimal and the genetic solution, shows that the proposed two phase genetic even in small size problems, has an acceptable performance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com