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This problem is converted into a binary quadratic programming problem and solved efficiently via the branch and bound algorithm.
As a result, this problem can be transformed into a convex optimization problem and solved efficiently by utilizing the convex form transformation explained in [17].
Nevertheless, this problem is solved efficiently using Ipopt, demonstrating the effectiveness of interior-point methods on complex, large-scale nonlinear programming problems.
The systematic reduction was formulated as an integer programming problem and solved efficiently with a greedy algorithm.
Then, with the aid of the displacement compatibility and the contact forces equilibrium along the pile soil contact surface, the dynamic pile soil interaction problem is solved efficiently.
When can such problems be solved efficiently, and if so, how efficiently?
The problem is then solved efficiently as follows.
The approximated problem can be solved efficiently using common optimization routines.
By using linear matrix inequalities and convex optimization techniques, the controller design problem can be solved efficiently.
Some special models of the problem have been solved efficiently, especially in the case of uncapacitated serial or tree chains.
This problem can be solved efficiently via an alternating optimization approach which includes continuous and discrete variables.
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