An optimality criteria based method for discrete design optimization taking into account buildability constraints

Optimization in a realistic structural engineering context: Redesign of the Market Hall in Ghent

“…However, the corresponding solution is not necessarily an optimum of the discrete problem; it might be sub-optimal or infeasible. Alternative approaches include heuristic optimization methods, such as the fully constrained design technique by Flager et al [27] and the discrete variant of the Optimality Criteria method by Schevenels et al [28], or metaheuristic methods.…”

A Mixed-Integer Linear Programming Approach for Global Discrete Size Optimization of Frame Structures

“…Equation (7) ensures that the member forces are zero when profile j is not selected for member i. The displacements at predefined locations of member i are limited by the constraints given by equation (8). The stresses at predefined locations of member i are limited by the constraints given by equation (9).…”

“…These include branch-and-bound for nonlinear problems, sequential linearization, dynamic rounding-off, penalty approach and various stochastic methods, among others. Some of the more recent approaches include the discrete Lagrangian-based algorithm [7], and a scheme based on the optimality criteria method [8].…”

15.13: Discrete sizing optimization of trussed steel portal frames according to Eurocode 3

“…These include branch-and-bound for nonlinear problems, sequential linearization, dynamic rounding-off, penalty approach and various stochastic methods, among others. Some of the more recent approaches include the discrete Lagrangian-based algorithm [5], and a scheme based on the optimality criteria method [6]. However, these methods have in common that they cannot guarantee that the global optimum is found.…”