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131.
132.
The general context of this paper is to support the design of spillways by a direct mathematical approach instead of trial-and-error methods. First, a two-dimensional model is formulated to determine the free surface and the discharge for a stationary, incompressible, homogeneous, non-viscous and irrotational flow over a fixed spillway. The flow satisfies the Laplace equation and the Bernoulli equation (potential flow). An important feature of the model is that it can be extended to design the spillway structure when the spillway is not fixed but the pressure on the spillway is described by a cavitation criterion. Next, the continuous model is discretized by the boundary element method (BEM). We use a non-linear programming algorithm to calculate the pressures and the shape of the spillway. A computer-aided design package is developed on a PC using the equations describing the free surface, the BEM and standard optimization techniques. The input and output of the model are realized using graphical routines. Finally, we discuss the convergence and the computation time of the algorithms. 相似文献
133.
Victoria Gesheva 《Applied biochemistry and biotechnology》2009,158(1):20-24
Experimental mathematical designs were applied for optimization of a nutrient medium for biosynthesis of the antifungal antibiotic
AK-111-81 by phosphate-deregulated mutant of Streptomyces hygroscopicus 111-81. Antifungal antibiotic AK-111-81 possesses well-expressed activity against Fusarium graminearum and other phytopathogenic fungi. The level of the production of the antibiotic AK-111-81 on this medium is more than three
times higher than on the initial medium. The optimized quantitative composition of the nutrient culture media is (g/l): glucose,
20; soy meal, 18; ammonium succinate, 3; CaCO3, 1. 相似文献
134.
Steven Prestwich 《Annals of Operations Research》2007,156(1):129-141
Branch-and-bound uses relaxation to prune search trees but sometimes scales poorly to large problems. Conversely, local search
often scales well but may be unable to find optimal solutions. Both phenomena occur in the construction of low-autocorrelation
binary sequences (LABS), a problem arising in communication engineering. This paper proposes a hybrid approach to optimization:
using relaxation to prune local search spaces. An implementation gives very competitive results, showing the feasibility of
the approach. 相似文献
135.
It is widely accepted that the Weibull distribution plays an important role in reliability applications. The reliability of a product or a system is the probability that the product or the system will still function for a specified time period when operating under some confined conditions. Parameter estimation for the three parameter Weibull distribution has been studied by many researchers in the past. Maximum likelihood has traditionally been the main method of estimation for Weibull parameters along with other recently proposed hybrids of optimization methods. In this paper, we use a stochastic optimization method called the Markov Chain Monte Carlo (MCMC) to carry out the estimation. The method is extremely flexible and inference for any quantity of interest is easily obtained. 相似文献
136.
图的超常边连通度是图的边连通度概念的推广,对于n阶点可迁或正则边可迁的简单连通图来说,它的h阶超常边连通度λ_h一定存在(1≤h≤n/2)。本文证明了:当d_-正则的n_-阶点可迁简单连通图满足n≥6,d≥4且围长g≥5时,或d_-正则的n_-阶边可迁简单连通图满足n≥6,d≥4且围长g≥4时,对于任何的h:1≤h≤min{g-1,n/2},λ_h达到其最大可能值,即λ_h=hd-2(h-1)。 相似文献
137.
Optimization of separations of alkyl-substituted phenolate anions by capillary zone electrophoresis 总被引:1,自引:0,他引:1
Anions of alkylphenols have very similar electrophoretic mobilities in CZE owing to their very small differences in size and the narrow range of their pKa values. By studying electrophoretic mobility as a function both of pH and of the amount of acetonitrile in the electrolyte solution, optimum separation conditions were determined. It was possible to separate a group of methyl-substituted phenols, including several positional isomers. Mixtures containing n-propyl and isopropyl phenols and 1°, 2°, and 3° butylphenols could be resolved. 相似文献
138.
Jie Lu Chenggen Shi Guangquan Zhang Tharam Dillon 《Journal of Global Optimization》2007,38(4):597-608
When multiple followers are involved in a bilevel decision problem, the leader’s decision will be affected, not only by the
reactions of these followers, but also by the relationships among these followers. One of the popular situations within this
bilevel multi-follower issue is where these followers are uncooperatively making their decisions while having cross reference
to decision information of the other followers. This situation is called a referential-uncooperative situation in this paper.
The well-known Kuhn–Tucker approach has been previously successfully applied to a one-leader-and-one-follower linear bilevel
decision problem. This paper extends this approach to deal with the above-mentioned linear referential-uncooperative bilevel
multi-follower decision problem. The paper first presents a decision model for this problem. It then proposes an extended
Kuhn–Tucker approach to solve this problem. Finally, a numerical example illustrates the application of the extended Kuhn–Tucker
approach. 相似文献
139.
本文对带有不定二次约束且目标函数为非凸二次函数的最优化问题提出了一类新的确定型全局优化算法,通过对目标函数和约束函数的线性下界估计,建立了原规划的松弛线性规划,通过对松弛线性规划可行域的细分以及一系列松弛线性规划的求解过程,得到原问题的全局最优解.我们从理论上证明了算法能收敛到原问题的全局最优解. 相似文献
140.
We establish a duality formula for the problem Minimize f(x)+g(x) for h(x)+k(x)<0 where g, k are extended-real-valued convex functions and f, h belong to the class of functions that can be written as the lower envelope of an arbitrary family of convex functions. Applications in d.c. and Lipschitzian optimization are given. 相似文献