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Vibrational Genetic Algorithm (Vga) for Solving Continuous Covering Location Problems

机译:振动遗传算法(Vga)解决连续覆盖位置问题

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This paper deals with a continuous space problem in which demand centers are independently served from a given number of independent, uncapacitated supply centers. Installation costs are assumed not to depend on either the actual location or actual throughput of the supply centers. Transportation costs are considered to be proportional to the square Euclidean distance travelled and a mini-sum criteria is adopted. In order to solve this location problem, a new heuristic method, called Vibrational Genetic Algorithm (VGA), is applied. VGA assures efficient diversity in the population and consequently provides faster solution. We used VGA using Vibrational mutation and for the mutational manner, a wave with random amplitude is introduced into population periodically, beginning with the initial step of the genetic process. This operation spreads out the population over the design space and increases exploration performance of the genetic process. This makes passing over local optimums for genetic algorithm easy. Since the problem is recognized as identical to certain cluster analysis and vector quantization problems, we also applied Kohonen maps which are Artificial Neural Networks (ANN) capable of extracting the main features of the input data through a self-organizing process based on local adaptation rules. The numerical results and comparison will be presented.
机译:本文讨论了一个连续的空间问题,其中需求中心独立于给定数量的独立,无能力的供应中心提供服务。假定安装成本不取决于供应中心的实际位置或实际吞吐量。运输成本被认为与所走的欧几里得平方距离成比例,并且采用了最小和标准。为了解决该位置问题,应用了一种新的启发式方法,称为振动遗传算法(VGA)。 VGA确保了群体的有效多样性,因此提供了更快的解决方案。我们使用通过振动突变的VGA进行突变,从遗传过程的初始步骤开始,周期性地将随机振幅的波引入种群。此操作将种群分散到设计空间中,并提高了遗传过程的探索性能。这使得通过遗传算法的局部最优值变得容易。由于该问题被认为与某些聚类分析和矢量量化问题相同,因此我们还应用了Kohonen映射,这是一种人工神经网络(ANN),能够根据局部适应规则通过自组织过程提取输入数据的主要特征。将给出数值结果并进行比较。

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