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The phrase "a satisfactory solution for" is correct and usable in written English.
It can be used when discussing a resolution or answer that meets the needs or expectations of a particular issue or problem.
Example: "After much deliberation, we finally arrived at a satisfactory solution for the ongoing conflict."
Alternatives: "an acceptable resolution for" or "a suitable answer for".
Exact(16)
In previous work, neither mathematical models nor optimization algorithms offered a satisfactory solution for this multi-objective disassembly problem.
In the meantime, employees at the factory fret by its front gates, where banners call for solidarity and a satisfactory solution for the factory.
None of the currently available distemper vaccines provides a satisfactory solution for the immunization of very young carnivores in the face of maternal-derived immunity.
This paper has two contributions: First, it is shown that in some cases, single-objective optimization may not be able to provide a satisfactory solution for the problem.
As such, probabilistic planning based on a genetic algorithm is designed to resolve the minimum cost consensus models based on China's urban demolition negotiation, which can better simulate the consensus decision-making process and obtain a satisfactory solution for the random optimization consensus models.
Neath Port Talbot council said it was working to find a satisfactory solution for all parties in the talks.
Similar(44)
It is demonstrated that the derived designs yield a satisfactory solution of the optimal design problem for this type of model in the sense that these designs are efficient and robust with respect to misspecification of the unknown parameters.
To apply this method, decision makers need to change their tolerance value at each iterative step and this might cause a delay in arriving at a satisfactory solution, especially for large problems.
By offering each owner the option to modify their car's response in case of an accidental scenario, manufacturers seemed to have found a satisfactory solution that worked for everybody.
Despite the variety of products available with differing results and efficiencies, a completely satisfactory solution for hair graying remains incomplete.
Metaheuristics are integrated to efficiently search for a satisfactory solution in order to reduce the computational time, which is crucial for the success of emergency response operations.
More suggestions(18)
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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