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In this context, we suggest a wavelength assignment procedure that improves the node performance in comparison with simple random or balanced schemes.
In various test problems the obtained balanced schemes show improvements in comparison with the standard versions of the proposed type schemes, as well as with some other first- and second-order numerical schemes.
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More importantly, this is achieved with minimal process information, i.e., material balances and characteristics of the balanced scheme.
However, the balanced scheme may lead to rather complex control configurations, especially for composition control.
As the link threshold increases, the balanced scheme achieves lower maximum energy consumption.
To obtain the criteria for longer network lifetime of the balanced scheme in the 2D case, we first analyze the energy consumption of the lowest ETX scheme and the balanced scheme with the MHR in 2D case.
The energy consumption of the balanced scheme should be less than that of the lowest ETX scheme.
The scheme proposed in [31] requires bits to be stored in each sensor node for the balanced scheme and bits for the unbalanced scheme with connectivity of 67%.
We compare two localized tree construction schemes (i.e., the lowest scheme without the MHR and the balanced scheme) with the global optimal value.
As shown in Figure 12, the balanced scheme with the MHR does not always achieve longer network lifetime than the lowest ETX scheme.
The balanced scheme maintains the initial network operation for longer time and the random selection scheme has relatively longer network lifetime, too.
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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