最优控制理论已经广泛地应用于核反应工程领域,如核反应堆设计、核反应堆运行等。其中一个重要的问题是燃料最少问题,即在装料尽可能少的情况下使反应堆达到临界。前人以扩散近似理论为基础,证明了为达此目的必须使中子通量分布尽可能平坦。我们以中子迁移理论为基础,证明了使 Optimal control theory has been widely used in nuclear reaction engineering, such as nuclear reactor design, nuclear reactor operation. One of the important issues is the least fuel problem, which is to reach the reactor with as little loading as possible. On the basis of the diffusion approximation theory, it has been demonstrated by previous authors that the neutron flux distribution must be made as flat as possible for this purpose. Based on the theory of neutron migration, we prove that