Resource allocation problem in a two-sector economic model of special form

被引：1

作者：

Kiselev, Yu. N. ^{[1
]}

Avvakumov, S. N. ^{[1
]}

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

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Optimal Control Problem; Adjoint Equation; Singular Part; Switching Function; Resource Allocation Problem;

D O I：

10.1134/S0012266109120106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study the resource allocation problem for a two-sector economic model of special form, which is of interest in applications. The optimization problem is considered on a given finite time interval. We show that, under certain conditions on the model parameters, the optimal solution contains a singular mode. We construct optimal solutions in closed form. The theoretical basis for the obtained results is provided by necessary optimality conditions (the Pontryagin maximum principle) and sufficient optimality conditions in terms of constructions of the Pontryagin maximum principle.

引用

页码：1791 / 1810

页数：20

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