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We examine first the weighted problem with a fixed number of due dates and we design a pseudopolynomial algorithm for it.
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First, we employ artificial benchmark problems: the Weighted LPTNO problem (a generalization of the well-studied LOTZ problem), and the well-studied COCZ problem, for studying the effect of recombination.
end{aligned}When all the vertices of the input graph (G) have equal weights, the Weighted Coloring Problem is equivalent to the Vertex Coloring Problem.
Always in the framework of unbounded domains, no-weighted problems weakening the hypotheses of [2] have been studied.
Although the overall objective function is non-convex, each sub-problem is a weighted lasso problem and is therefore convex.
Problem (1)–(2) is called a weighted eigenvalue problem in some literature and ω is called a weight function.
Then the scheduling problems specified by (3) and (4) correspond to the classical Maximum Weighted Matching Problem (MWMP) and the Maximum Matching Problem (MMP), respectively.
In the more general Weighted Tree Augmentation problem, F should be of minimum weight.
The main idea of the algorithm is to further break down each of the p sub-problems into d weighted lasso problems, starting with the observations at the most recent time lag, T − 1.
Then we can solve the resulting weighted LLS problem (3).
The obtained results can be applied to the weighted Girth problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com