A stochastic (adaptive) problem of optimal harvesting
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.92027
author: O. I. Lyashenko
publication date: 2001-09-16T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 91B76
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 1646399
zbMATH Keywords: stochastic (adaptive) problem
zbMATH Keywords: optimal gather in harvest
zbMATH Keywords: population concentration
zbMATH Keywords: adaptive trajectory
MaRDI profile type: Publication
title: A stochastic (adaptive) problem of optimal harvesting
published in: Zhurnal Obchyslyuval'noïta Prykladnoï Matematyky
review text: The author studies the parametric model of optimal gather in harvest NEWLINE\[NEWLINE\int_{0}^{T}y(t,\theta)dt+x(T,\theta)\to \max\limits_{y(t,\theta)\geq 0},NEWLINE\]NEWLINE where the population concentration \(x(t,\theta)\) is a solution of the Cauchy problem NEWLINE\[NEWLINEdx/dt=\phi(x,t,\theta)-y,\quad x(0)=x_0,NEWLINE\]NEWLINE \(\theta\) is a stochastic parameter, and \(y(t,\theta)\) is an adaptive control strategy. In the case when the stochastic parameter is piecewise constant and changes in fixed moments, a synthesis of an adaptive trajectory and strategy of optimal control is constructed. Five simple models of population growth are presented.
reviewed by: Aleksandr D. Borisenko
description: scientific article; zbMATH DE number 1646399