The method investigated in this paper is concerned with the multivariate global optimization with box constraints. A new quadratic lower bound in a branch and bound framework is proposed. For a continuous, twice differentiable function f, the new lower bound is given by a difference of the...

We describe a class of adaptive algorithms for approximating the global minimum of a function defined on a compact subset of Rd. The algorithms are adaptive versions of Monte Carlo search and use a memory of a fixed number of past observations. By choosing a large enough memory, the convergence...

This paper presents an analysis of an adaptive random search (ARS) algorithm, a global minimization method. A probability model is introduced to characterize the statistical properties of the number of iterations required to find an acceptable solution. Moreover, based on this probability model,...

Different problems addressed to the efficiency of the water use and allocation are of great importance in numerous regions including Middle East. Water scarcity is the foremost problem for which solutions are urgently needed. Water prices can be considered as an instrument for satisfactory water...

In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically describe transport processes. Since hyperbolic equations usually propagate discontinuities of initial or boundary...

The present paper deals with the application of the feedforward neural network in feedback control for dynamic systems. First, the problem of non-linear control is solved using the optimal control approach. Then assuming that prior knowledge is available in a certain form (input/output data-base...

This paper describes the functionality and implementation of COOPT. This software package implements a direct method with modified multiple shooting type techniques for solving optimal control problems of large-scale differential–algebraic equation (DAE) systems. The basic approach in COOPT is...

The interaction between economic and ecologic dynamic systems is analyzed with a multi-player dynamic game, in which each player invests and allocates available capital to the production or consumption of natural resources and goods, and evaluates the outcome of all players’ actions as well as...

An optimal control methodology is proposed for plant growth. This methodology is demonstrated by solving a water supply problem for optimal sunflower fruit filling. The functional–structural sunflower growth is described by a dynamical system given soil water conditions. Numerical solutions...

This paper is devoted to the optimal control of an age-structured system, describing the evolution of normal and leukemic hematopoietic stem cells (HSC) under therapy. The optimal control represents the drug dosage over a fixed length of time. We give evidence that the discrete scheme, derived...