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The main results are then applied to optimal design, primarily the stress-constrained minimum weight problem, to illustrate how they can be used to establish existence of solutions and validity of "ε-perturbations" that are common in computational topology optimization.
Moreover, Mela and Koski (2012) have suggested that the stress-constrained minimum weight problem and the compliance minimization problem do not have equal optimal topologies of truss under multiple loading conditions.
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As shown in examples, the minimum weight problems under the constraint of structural reliability are solved for laminated composites.
In this paper, two typical minimum weight covering problems, namely vertex covering problem and edge covering problem, are studied under stochastic environments.
Minimum weight covering problems have played an important role in many real applications.
□ The Algorithn-1 only reports one solution with the minimum weight, even problems in application have multiple solutions with the minimum weight.
Minimum weight edge covering problem, known as a classic problem in graph theory, is employed in many scientific and engineering applications.
This paper models the delay-bounded energy-efficient backbone formation problem in wireless sensor network (WSN) as the degree-constrained minimum weight connected dominating set (CDS) problem, where the residual energy is assumed as the node weight.
A two-stage particle swarm optimization was utilized in this study to solve truss-structure optimization problem achieving minimum weight objective under stress, deflection, and kinematic stability constraints.
The problem of minimum weight design of simple and multi-stage spur gear trains has been a subject of considerable interest, since many high-performance power transmission applications (e.g., automotive, aerospace, machine tools, etc).
Several well-studied examples from structural topology optimization problems of minimum weight and minimum compliance are used to demonstrate its efficiency and versatility.
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