Optimal resource allocation program in a two-sector economic model with a Cobb-Douglas production function

被引：2

作者：

Kiselev, Yu N. ^{[1
]}

Orlov, M. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 12期

关键词：

Cauchy Problem; Maximum Principle; Optimal Control Problem; Planning Horizon; Adjoint Equation;

D O I：

10.1134/S0012266110120086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the resource allocation problem for a two-sector economic model with a two-factor Cobb-Douglas production function on a finite time horizon with a terminal functional. The problem is reduced to some canonical form by a scaling of the phase variables and time. We prove the optimality of the extremal solution constructed on the basis of the maximum principle. The solution of the boundary value problem of the maximum principle is constructed in closed form for three cases of location of the initial plant state.

引用

页码：1750 / 1766

页数：17

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