Solving nonconvex nonlinear programs with reverse convex constraints by sequential linear programming

2019 ◽  
Vol 27 (3) ◽  
pp. 1320-1342 ◽  
Author(s):  
Zvi Drezner ◽  
Pawel Kalczynski
Keyword(s):  
Linear Programming ◽  
Sequential Linear Programming ◽  
Convex Constraints ◽  
Nonlinear Programs ◽  
Reverse Convex Constraints ◽  
Reverse Convex

Fuzzy Heuristics for Sequential Linear Programming

1998 ◽  
Vol 120 (1) ◽  
pp. 17-23 ◽  
Author(s):  
E. L. Mulkay ◽  
S. S. Rao
Keyword(s):  
Fuzzy Logic ◽  
Linear Programming ◽  
Path Following ◽  
Human Observer ◽  
Sequential Linear Programming ◽  
Algorithm Performance ◽  
Primal Dual ◽  
Improve Algorithm ◽  
Range Of Values ◽  
Better Than

Numerical implementations of optimization algorithms often use parameters whose values are not strictly determined by the derivation of the algorithm, but must fall in some appropriate range of values. This work describes how fuzzy logic can be used to “control” such parameters to improve algorithm performance. This concept is shown with the use of sequential linear programming (SLP) due to its simplicity in implementation. The algorithm presented in this paper implements heuristics to improve the behavior of SLP based on current iterate values of design constraints and changes in search direction. Fuzzy logic is used to implement the heuristics in a form similar to what a human observer would do. An efficient algorithm, known as the infeasible primal-dual path-following interior-point method, is used for solving the sequence of LP problems. Four numerical examples are presented to show that the proposed SLP algorithm consistently performs better than the standard SLP algorithm.

Crash worthiness design optimization using multipoint sequential linear programming

1996 ◽  
Vol 12 (4) ◽  
pp. 222-228 ◽  
Author(s):  
L. F. P. Etman ◽  
J. M. T. A. Adriaens ◽  
M. T. P. Slagmaat ◽  
A. J. G. Schoofs
Keyword(s):  
Linear Programming ◽  
Design Optimization ◽  
Sequential Linear Programming

Design of Micro-Gripper With Topology Optimal Compliant Mechanisms

2004 ◽  
Author(s):  
Shyh-Chour Huang ◽  
Chien-Ching Chiu
Keyword(s):  
Linear Programming ◽  
Compliant Mechanisms ◽  
Compliant Mechanism ◽  
New Method ◽  
Sequential Linear Programming ◽  
Analysis Method ◽  
Electrothermal Actuator ◽  
Design Considerations ◽  
Micro Gripper

The objective of this paper describes a new method to design a micro-gripper. In the paper, we use compliant mechanism actuated by micro combined V-shape electrothermal actuator to design a microgripper that the claw can clip the micro object. The compliant mechanism employs flexible to generate movement without any hinge; therefore, it is suitable for MEMS manufacture. The design of micro-gripper is accomplished in compliant mechanism with topology optimum and solved by sequential linear programming (SLP) methods. The design considerations, the analysis method, and the design results are discussed.

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