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In this case, we propose a numerical example to clarify applicability of the introduced production and inventory model in a three echelons supply chain involving a supplier, a manufacturer and one wholesaler under two scenarios.
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We also proposed a numerical example to show the advantage.
The illustration of the proposed models is performed with a numerical example to demonstrate the applicability in practice.
Furthermore, we also prove the strong convergence theorems for the proposed iterative scheme and give a numerical example to support and illustrate our main theorem.
Compared with the back-analysis methods that uses traditional algorithms, the proposed method is validated by a numerical example to be more effective for multi-objective optimization.
The validity of the proposed method is illustrated by a numerical example to demonstrate effectiveness and performance of the reconfiguration structure.
The theoretical background of the proposed formulation is presented together with a numerical example to indicate how it could be applied in a practical case.
In this section, we provide a numerical example to demonstrate the proposed results.
In this section, we show a numerical example to illustrate the proposed iterative method.
In this section, we provide a numerical example to illustrate the proposed model using Maple mathematical modelling package.
We also give convergence and stability analysis of the new Picard-Mann iterative approximation and propose numerical examples to show that the new Picard-Mann iteration converges more effectively than the Picard iterative process, Mann iterative process, Picard-Mann iterative process due to Khan and other related iterative processes.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com