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The phrase "a relaxation for this problem" is correct and usable in written English.
It can be used in contexts where you are discussing a simplified version or an alternative approach to solving a problem.
Example: "In order to make progress, we need to consider a relaxation for this problem that allows for more flexible constraints."
Alternatives: "a simplification of this problem" or "an alternative approach to this problem."
Exact(1)
A relaxation for this problem is found and the minimizers of the relaxed problem are characterized through first-order optimality conditions.
Similar(59)
For this reason, a relaxation of this problem is introduced in the following section.
This paper establishes an integer programming model and presents a new Lagrangian relaxation algorithm for this problem.
This paper establishes an integer programming model and proposes a batch decoupling based Lagrangian relaxation algorithm for this problem.
The paper proposes a relaxation for a special class of Boolean controller design problems which are relevant in optimization of heating systems for buildings.
However, a relaxation of this optimization problem [11] can be considered as a geometric programming problem [31].
As shown in Mairal and Yu (2011), the overlapping group Lasso aforementioned is a relaxation of this binary problem.
Fig. 11 Different values of γ for the heuristic that changes budget size (B_{1}^=gamma B_{1}), for different values of B 1. We have investigated the difference between the MDP-based optimal solution and the solution given by a linear programming relaxation for the problem of Ad Network optimization, using the cost per click model.
Apparently, problem (17) is a relaxation of problem (10).
The other methods considered are linearized and comparisons are made for a relaxation problem and a radiation diffusion problem.
A Lagrangean relaxation is used to provide lower bounds for this problem, which are tentatively strengthened by incomplete optimization through the use of CPLEX.
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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