CAJ | 학술논문

基于经典的马克思两大部类社会再生产公式，建立了离散确定型的持续扩大再生产的优化问题的动态规划模型。在生产资料部类的不变资本产出率高于另一部类的条件下，动态规划的指标函数是作为决策变量的生产资料部类积累率的单调函数，因而可以使用逆序解法或者顺序解法，获得唯一的最优策略和最优指标函数。借助《资本论》中的一个举例，计算验证了最优解。
기우경전적마극사량대부류사회재생산공식，건립료리산학정형적지속확대재생산적우화문제적동태규화모형。재생산자료부류적불변자본산출솔고우령일부류적조건하，동태규화적지표함수시작위결책변량적생산자료부류적루솔적단조함수，인이가이사용역서해법혹자순서해법，획득유일적최우책략화최우지표함수。차조《자본론》중적일개거례，계산험증료최우해。
Based on classical Marx's two-sector reproduction scheme,this paper established a dynamic programming model of the optimization problem of the continuous expanded reproduction.The model is a dispersed and determined type.De-pending on the condition that the constant capital output ratio of the capital goods sector is higher than that of another sector , the target function in the dynamic programming is a monotone function of the accumulation rate of the capital goods sector , which is treated as a decision variable.Therefore,only the optimum strategy and optimum target function can be obtained by the inverted sequence solution.An example from Marx's "Das kapital" was drawn upon to verify the optimum solution.