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Exact(5)
Therefore, if is -colorable, then the maximum lifetime on is.
Lemma 2. is -colorable if and only if the maximum lifetime on is.
As a result,,, forms a color partition and so is -colorable if the maximum lifetime on is.
" " part: If the maximum lifetime on is and the corresponding schedule is, then there must exist a mutually disjoint cover set with covers since each sensor has a battery lifetime of unit.
has a lifetime, where is the maximum lifetime on.
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Thus, the maximum lifetime of network in uniform distribution is determined by the survival time C1.
Then, the maximum achievable lifetime on is the same as the maximum achievable lifetime on.
Here, denotes a perimeter scheduling problem instance with a set of sensors, and the maximum lifetime achievable on is.
"Putting a limit on the maximum lifetime costs people may face will allow them to plan ahead for how they wish to meet these costs".
Furthermore, to efficiently solve the optimization problem, we propose a column generation based approach, where a column corresponding to a feasible solution; our idea is to find a column with steepest ascent in lifetime, based on which we iteratively search for the solution of the maximum lifetime problem.
In this scenario, by Property 2, the maximum lifetime.
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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