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Exact(12)
In any iteration of the proposed algorithm, a single objective integer linear programming problem, constrained problem, is solved.
We have setup a shape optimization problem constrained by the elliptic PDEs (12) with random material variations.
The MFNN design problem is converted into a multi-modal objective maximization problem constrained by four objective functions.
Therefore, a RBDO problem becomes a simple, deterministic optimization problem constrained by RDS rather than its deterministic feasible space.
The tangential quadratic problem constrained here is slightly more general than (3.1) in the sense that the Hessian of the Lagrangian is replaced by some positive definite matrix.
In particular, under certain conditions, equilibrium problem, constrained convex minimization problem and split feasibility problem are, respectively, equivalent to a variational inequality problem.
Similar(48)
In this paper, we propose numerical methods for minimization problems constrained to S1 and S2.
The design conditions are expressed in terms of convex problems constrained by Linear Matrix Inequalities.
As applications, we can use this result to solve equilibrium problems, constrained convex minimization problems, and split feasibility problems.
We develop a finite-element based level set method for numerically solve shape optimization problems constrained by semilinear elliptic problems.
Subsequently, the design conditions are given in terms of convex problems constrained by linear matrix inequalities (LMI).
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