Mar 1, 2003 · A new SLP algorithm called LESLP was tested in 20 weight minimisation problems of truss structures and four non-truss problems ranging from mathematical programming examples to structures to be designed under multiple loading conditions.

Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization problems. [1] It is related to, but distinct from, quasi-Newton methods.

Feb 18, 2025 · Numerical examples demonstrate that for stress-constrained truss optimization problem with the lower bound of cross-sectional area as 0, the proposed algorithm can directly yield a global optimum solution rather than a local optimal solution.

Jul 30, 2000 · Two different approaches (CGML and LEAML) for the definition of the move limits in Sequential Linear Programming are described and compared in terms of numerical efficiency in the solution of six problems of weight minimisation of bar trusses structures.

Oct 11, 2020 · Solve constrained, nonlinear, parameter optimization problems using sequential linear programming with trust region strategy (slp_trust), sequential quadratic programming with trust region strategy (sqp_trust), or sequential quadratic programming with line search (sqp), similar to fmincon in the Optimization Toolbox.

Numerical approaches for optimization problems can be analogous to the numerical techniques, such as Lunge-Kutta method and Simpson rule, for mathematical solutions of differentiation and integration.

Numerical examples demonstrate the effectiveness of the proposed approach on sparse data set and its robustness with respect to the existence of noise and outliers in the data set. Classical computational mechanics theories and algorithms are always developed based on specific constitutive mod-els.

In the aim of leveraging the advantages of LP while retaining the accuracy of NLP interior-point methods (IPMs), this paper pro-poses a sequential linear programming (SLP) approach consisting of a sequence of carefully constructed supporting hyperplanes and halfspaces.

Sequential linear programming and sequential quadratic programming (SQP), for example, are two Lagrangian approaches that have proven to be quite effective. SQP

Nov 8, 2022 · In this article, an efficient sequential linear programming algorithm (SLP) for uncertainty analysis-based data-driven computational mechanics (UA-DDCM) is presented.