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991.
Home owners are typically charged differently when they consume power at different periods within a day. Specifically, they are charged more during peak periods. Thus, in this paper, we explore how scheduling algorithms can be designed to minimize the peak energy consumption of a group of homes served by the same substation. We assume that a set of demand/response switches are deployed at a group of homes to control the activities of different appliances such as air conditioners or electric water heaters in these homes. Given a set of appliances, each appliance is associated with its instantaneous power consumption and duration, our objective is to decide when to activate different appliances in order to reduce the peak power consumption. This scheduling problem is shown to be NP-Hard. To tackle this problem, we propose a set of appliance scheduling algorithms under both offline and online settings. For the offline setting, we propose a constant ratio approximation algorithm (with approximation ratio \(\frac{1+\sqrt{5}}{2}+1\)). For the online setting, we adopt a greedy algorithm whose competitive ratio is also bounded. We conduct extensive simulations using real-life appliance energy consumption data trace to evaluate the performance of our algorithms. Extensive evaluations show that our schedulers significantly reduce the peak demand when compared with several existing heuristics. 相似文献
992.
In this paper, we obtain universal inequalities for the eigenvalues of the Dirichlet problem and clamped plate problem of drifting Laplacian on (\(n+1\))-dimensional (\(n\ge 4\)) complete noncompact simply connected smooth metric measure spaces which meet some conditions of the sectional curvature and radial weighted Ricci curvature. 相似文献
993.
Yiheng Wei Bin Du Songsong Cheng Yong Wang 《Journal of Optimization Theory and Applications》2017,174(1):122-138
This paper deals with the time-optimal control problem for a class of fractional order systems. An analytic solution of the time-optimal problem is proposed, and the optimal transfer route is provided. Considering it is usually adopted in the discrete situation for actual control system, the sampling date may induce chattering phenomenon, an alternative sub-optimal solution is constructed. Additionally, the special and meaningful application of fractional order tracking differentiator is introduced to explain our main results. The effectiveness and advantages of the proposed method have been illustrated by numerical examples. 相似文献
994.
Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan D. Repovš 《Journal of Optimization Theory and Applications》2017,175(2):293-323
We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the left). We prove the existence of three nontrivial smooth solutions, two of constant sign and the third nodal. We also show the existence of extremal constant sign solutions. The tools come from nonsmooth critical point theory and from global optimization (direct method). 相似文献
995.
The formulism of a two-equation model for heat conduction in porous media, developed in a previous paper, is applied to the case of steady state one-dimensional heat transfer in a porous medium that is made up of geometrically similar units of similar size and of ordered spatial distribution. For this case study, the model-predicted locally volume-averaged temperature distributions for the solid and the fluid phase are compared to a numerical solution at a microscopic level, showing excellent agreement. 相似文献
996.
The asymptotic field near an interface crack tip is analyzed with the fully nonlinear theory. By dividing the crack tip field
into narrowing sectors and an expanding sector, the asymptotic equations for the crack tip field are derived and solved. The
singular characters of stress and strain near the crack tip are revealed. 相似文献
997.
998.
999.
板带轧制过程中的三维接触摩擦模型 总被引:3,自引:0,他引:3
为解决压力加工中工具与工件间的接触摩擦问题,根据金属流动对摩擦的反作用,在轧辊和工件之间引入了一层极薄的摩擦单元并将其编入三维弹塑性大变形有限元程序。通过调节摩擦元尺寸厚度和β因子,实现了对薄板轧制过程中间介质的几何尺寸模拟和物理特征模拟。该法不用对摩擦力大小、方向及中性点位置进行假定,通过计算能够得到全部有关信息。 相似文献
1000.
General coupled solution of anisotropic piezoelectric materials with an elliptic inclusion 总被引:1,自引:0,他引:1
In this investigation, the Stroh formalism is used to develop a general solution for an infinite, anisotropic piezoelectric
medium with an elliptic inclusion. The coupled elastic and electric fields both inside the inclusion and on the interface
of the inclusion and matrix are given.
The project supported by the National Natural Science Foundation of China 相似文献