Notes on the Operational Utility of Monotonicity in Optimization

1983 ◽  
Vol 105 (2) ◽  
pp. 174-180 ◽  
Author(s):  
P. Papalambros ◽  
Heng Lung Li
Keyword(s):  
Optimality Criteria ◽  
Solution Strategies ◽  
Monotonic Properties ◽  
Mathematical Programing

Modeling and solution strategies of mathematical programing formulations of designs problems can benefit from existing monotonic properties. The concepts involved are reviewed and their utility in various optimization operations is discussed. Examples include optimality criteria, boundedness tests, Johnson’s method, and a general approach to optimization strategies.

The Solution Strategy as an Indicator of the Developmental Stage of Preschool Children’s Mental-Rotation Ability

2010 ◽  
Vol 31 (2) ◽  
pp. 95-100 ◽  
Author(s):  
Claudia Quaiser-Pohl ◽  
Anna M. Rohe ◽  
Tobias Amberger
Keyword(s):  
Preschool Children ◽  
Mental Rotation ◽  
Latent Class ◽  
Preschool Age ◽  
Stage Model ◽  
Solution Strategy ◽  
Thinking Aloud ◽  
Transition Analysis ◽  
Solution Strategies ◽  
Close Relationship

The solution strategies of preschool children solving mental-rotation tasks were analyzed in two studies. In the first study n = 111 preschool children had to demonstrate their solution strategy in the Picture Rotation Test (PRT) items by thinking aloud; seven different strategies were identified. In the second study these strategies were confirmed by latent class analysis (LCA) with the PRT data of n = 565 preschool children. In addition, a close relationship was found between the solution strategy and children’s age. Results point to a stage model for the development of mental-rotation ability as measured by the PRT, going from inappropriate strategies like guessing or comparing details, to semiappropriate approaches like choosing the stimulus with the smallest angle discrepancy, to a holistic or analytic strategy. A latent transition analysis (LTA) revealed that the ability to mentally rotate objects can be influenced by training in the preschool age.

Strategies to overcome barriers and to effectively achieve sustainable urban stormwater management: A review

2020 ◽  
Author(s):  
Anaí Floriano Vasconcelos ◽  
Ademir Paceli Barbassa
Keyword(s):  
Literature Review ◽  
Stormwater Management ◽  
Urban Sustainability ◽  
The Other ◽  
Urban Stormwater ◽  
Urban Stormwater Management ◽  
Solution Strategies ◽  
Other Hand ◽  
Common Barriers

Sustainable urban stormwater management (SUSM) is essential to urban sustainability. However, barriers to adopting it are observed even in places where SUSM is more widespread. Recent studies have evaluated strategies for overcoming some types of barriers. However, any study has systematically analyzed the strategies available for overcoming the most common barriers, contributing to widely adopting SUSM. Thus, this article aimed to provide a literature review on these strategies. Sixty-six documents were evaluated, resulting in eight solution strategies, detailed by 81 implementation measures, which were critically analyzed. The interrelationships among the solution strategies and their applicability to overcome the SUSM-related barriers were evaluated. This analysis showed that the solution strategies are interdependent, so it would be inefficient to adopt the strategies in isolation. On the other hand, adopting a strategy can help overcome several barriers, also enhancing other strategies, and consequently contributing to the global scenario of effective SUSM adoption. The availability of this systematized information helps break through common barriers and optimizing efforts to adopt SUSM where it is incipient.

Topology Optimization Using Node-Based Smoothed Finite Element Method

2015 ◽  
Vol 07 (06) ◽  
pp. 1550085 ◽  
Author(s):  
Z. C. He ◽  
G. Y. Zhang ◽  
L. Deng ◽  
Eric Li ◽  
G. R. Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Topology Optimization ◽  
Optimization Design ◽  
Solid Mechanics ◽  
Optimality Criteria ◽  
Topology Optimization Problem ◽  
Design Variables ◽  
Smoothed Finite Element Method ◽  
Element Method

The node-based smoothed finite element method (NS-FEM) proposed recently has shown very good properties in solid mechanics, such as providing much better gradient solutions. In this paper, the topology optimization design of the continuum structures under static load is formulated on the basis of NS-FEM. As the node-based smoothing domain is the sub-unit of assembling stiffness matrix in the NS-FEM, the relative density of node-based smoothing domains serves as design variables. In this formulation, the compliance minimization is considered as an objective function, and the topology optimization model is developed using the solid isotropic material with penalization (SIMP) interpolation scheme. The topology optimization problem is then solved by the optimality criteria (OC) method. Finally, the feasibility and efficiency of the proposed method are illustrated with both 2D and 3D examples that are widely used in the topology optimization design.

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