最优控制在人材分配方面的应用

The application of optimal control on assigning science person

对于科学人材的合理分配问题 ,本文给出了含有控制变量的数学模型 ,而且控制变量u(t) (即分配比例 )受如下约束 :0 <u0 ≤u(t)≤ u1<1。为了在给定计划期 [0 ,T]内 ,使末时刻的科学人材总数最大 ,本文利用庞特里雅金最大值原理对这一问题进行了讨论 ,最后得出了一个最优分配策略 ,即最优控制 u* (t) =u1, t∈ [0 ,T]

About the question of proper assigning science person,we give a mathematic model with control variable and the control variable u(t) is subject to 0<u 0≤u(t)≤u 1<1 .In order to get a maximal total of science person at point T within [0,T] ,we discuss the problem of assigning science person using maximum principle and obtain an optimal assigning strategy,namely optimal control u *(t)=u 1,t∈[0,T] .