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Lynce and Marques-Silva recently formulated the problem as an instance of the Boolean satisfiability problem, called SAT [ 7, 8], that can be solved orders of magnitude faster than the existing ILP (integer linear programming) formulation [ 7, 9, 10].
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The comparison shows that the presented approach is more effective to solve order-crossing problems in GOT.
We assume that the subcontractor proposes the subcontracting pricing and the firm follows by determining the subcontracted orders by solving its order acceptance and scheduling problem.
After that, the constraint is solved in order to obtain the Lagrange multiplier.
Akram and Rehman [24] solved eighth-order boundary value problems using the kernel space method.
This expression must be solved in order to obtain the optimal controls.
Two examples have been solved in order to test the effectiveness of the proposed method.
Tricaud and Chen have solved fractional order optimal control problems by means of rational approximation [3].
The above equations can be solved in order to estimate,, and.
Still, many issues remain to be solved in order to improve and personalize the therapy [26].
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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