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Chaotic neurodynamics in the frequency assignment problem

机译:频率分配问题中的混沌神经动力学

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The frequency assignment problem belongs to the quite difficult to deal with class of NP (nondeterministic polynomian)-hard cominatorial optimiszation problems [3]. Its computational complexity directs researchers in the field at developing efficient techniques for finding solutions realizing minimum (or maximum) values of an objective function subject to a set of, often conflicting, constraints. To seek an optimal (or near optimal) solution, many methods have been proposed, such as dynamic programming methods, branch and bound methods, etc., and, lately, some heuristic algorothms relating to physical and biological phenomena. They include tabu search, genetic algorithms, simulated annealing and artificial neural networks [4]. We propose a Hopfield neural network model with chaotic neurodynamics to overcome the obstacle of local minima in the energy function and obtain optimal solutions in less iteration than the time-consuming converget dynamics.
机译:频率分配问题属于很难处理的NP(不确定性多项式)-硬约束优化问题[3]。它的计算复杂性指导该领域的研究人员开发有效的技术,以找到实现目标函数的最小值(或最大值)的值的方法,这些值受一组(通常是相互冲突的)约束的约束。为了寻求最佳(或接近最佳)的解决方案,已经提出了许多方法,例如动态规划方法,分支定界方法等,以及最近一些与物理和生物学现象有关的启发式算法。它们包括禁忌搜索,遗传算法,模拟退火和人工神经网络[4]。我们提出了一种具有混沌神经动力学的Hopfield神经网络模型,以克服能量函数中局部极小值的障碍,并在比耗时的converget动力学少的迭代中获得最优解。

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