European Journal of Operational Research, Mar 1, 2008
... Fig. 1. Steps of the basic VNS. View Within Article. The idea of VNS is to define a set of ne... more ... Fig. 1. Steps of the basic VNS. View Within Article. The idea of VNS is to define a set of neighborhood structures View the MathML source , k = 1, … , k max , that can be used in a systematic way to conduct a search through the solution space. ... Values of radii ρ i ,i = 1, … , k ...
International Journal of Non-linear Mechanics, May 1, 2018
Abstract We consider the brachistochrone problem of the particle with a preselected interval for ... more Abstract We consider the brachistochrone problem of the particle with a preselected interval for the normal reaction force value as well as the terminal position of the particle lying on an arbitrary planar curve. We use optimal control theory to solve the formulated brachistochrone problem. Here we treat the brachistochrone curve as a bilateral ideal constraint. We study the cases of symmetrically and unsymmetrically preselected intervals for the normal reaction force value. We show that in the case of a symmetrically preselected interval for the normal reaction force value, the brachistochrone curve is a two-segment curve, and in the case of an unsymmetrically preselected interval, it is a three-segment curve. We present a numerical procedure for the identification of the global minimum time of motion. Finally, we present several examples to illustrate the approach proposed in the paper.
This paper gives a brief survey of Tabu search methodology - one of the widely used modern genera... more This paper gives a brief survey of Tabu search methodology - one of the widely used modern general heuristics, originally designed to solve combinatorial optimization problems. The power of this methodology is illustrated by applications to two different types of real-life large dimensional problems: a combinatorial assign- ment problem and a continuous optimal design problem.
European Journal of Operational Research, Mar 1, 2008
... Fig. 1. Steps of the basic VNS. View Within Article. The idea of VNS is to define a set of ne... more ... Fig. 1. Steps of the basic VNS. View Within Article. The idea of VNS is to define a set of neighborhood structures View the MathML source , k = 1, … , k max , that can be used in a systematic way to conduct a search through the solution space. ... Values of radii ρ i ,i = 1, … , k ...
International Journal of Non-linear Mechanics, May 1, 2018
Abstract We consider the brachistochrone problem of the particle with a preselected interval for ... more Abstract We consider the brachistochrone problem of the particle with a preselected interval for the normal reaction force value as well as the terminal position of the particle lying on an arbitrary planar curve. We use optimal control theory to solve the formulated brachistochrone problem. Here we treat the brachistochrone curve as a bilateral ideal constraint. We study the cases of symmetrically and unsymmetrically preselected intervals for the normal reaction force value. We show that in the case of a symmetrically preselected interval for the normal reaction force value, the brachistochrone curve is a two-segment curve, and in the case of an unsymmetrically preselected interval, it is a three-segment curve. We present a numerical procedure for the identification of the global minimum time of motion. Finally, we present several examples to illustrate the approach proposed in the paper.
This paper gives a brief survey of Tabu search methodology - one of the widely used modern genera... more This paper gives a brief survey of Tabu search methodology - one of the widely used modern general heuristics, originally designed to solve combinatorial optimization problems. The power of this methodology is illustrated by applications to two different types of real-life large dimensional problems: a combinatorial assign- ment problem and a continuous optimal design problem.
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Papers by Milan Drazic