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Yanfang Shen Seksan Kiatsupaibul Zelda B. Zabinsky Robert L. Smith 《Journal of Global Optimization》2007,38(3):333-365
We present an analytically derived cooling schedule for a simulated annealing algorithm applicable to both continuous and
discrete global optimization problems. An adaptive search algorithm is used to model an idealized version of simulated annealing
which is viewed as consisting of a series of Boltzmann distributed sample points. Our choice of cooling schedule ensures linearity
in the expected number of sample points needed to become arbitrarily close to a global optimum. 相似文献
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Huseyin Onur Mete Yanfang Shen Zelda B. Zabinsky Seksan Kiatsupaibul Robert L. Smith 《Journal of Global Optimization》2011,50(4):597-627
We develop new Markov chain Monte Carlo samplers for neighborhood generation in global optimization algorithms based on Hit-and-Run.
The success of Hit-and-Run as a sampler on continuous domains motivated Discrete Hit-and-Run with random biwalk for discrete
domains. However, the potential for efficiencies in the implementation, which requires a randomization at each move to create
the biwalk, lead us to a different approach that uses fixed patterns in generating the biwalks. We define Sphere and Box Biwalks that are pattern-based and easily implemented for discrete and
mixed continuous/discrete domains. The pattern-based Hit-and-Run Markov chains preserve the convergence properties of Hit-and-Run
to a target distribution. They also converge to continuous Hit-and-Run as the mesh of the discretized variables becomes finer,
approaching a continuum. Moreover, we provide bounds on the finite time performance for the discrete cases of Sphere and Box
Biwalks. We embed our samplers in an Improving Hit-and-Run global optimization algorithm and test their performance on a number
of global optimization test problems. 相似文献
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Seksan Suttisong Phadungsak Rattanadecho 《Experimental Thermal and Fluid Science》2011,35(8):1530-1534
In the present study an experimental investigation of heat transport and water infiltration in granular packed bed (unsaturated porous media) due to supplied water flux is carried out. The study is focus on the one-dimensional flow in a vertical granular packed bed column assuming local thermal equilibrium between water and particles at any specific space. This experimental study described the dynamics of heat transport and water infiltration in various testing condition. Experimentally, the influences of particle sizes, supplied water flux and supplied water temperature on heat transport and water infiltration during unsaturated flow are clarified in details. The results showed that the granular packed bed with larger particle size results in faster infiltration rate and form a wider infiltration depth. Furthermore, the increase of the supplied water flux and supplied water temperature corresponds to faster infiltration rate, but the results not linearly related to the interference between the heat transport and hydrodynamics characteristics in granular packed bed. 相似文献
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