Vol.2, No 8, 1998 pp. 819 - 820
300 YEARS OF OPTIMIZATION
SANU, December 17, 1997
In the organization of Department for Mechanics Mathematical Institute
and Department of Technical sciences of Serbian Academy of sciences and
arts, the scientific symposium "Three hundred years of optimization" was
organized on december 17, 1997 in Belgrade. The organization Board of the
Symposium were academician SASA Petar Miljanić, secretary of Department
of Techanical Sciences SASA, academician Academy of nonlinear sciences
Veljko Vujičić, head of Department of Mechanics Mathematical Institute
of SASA, prof. dr Radivoj Petrović, Traffic Faculty Belkgrade and academician
SASA Miomir Vukobratović.
We can take the year 1697 as the year when the sciences of Optimizations
were established. In the same year J. Bernoulli has assigned mathematical-geometric
problem in the form of a call for solution. Problem consisted of search
for a line between A and B points through which heavy point moves in the
field of gravitation and arrives in the shortest time from one point to
Six solutions for the problem arrived, given by: Lajbnic, L'Hopital,
Isac Newton, brothers Bernoulli, i Tschrihaus. They were the most famous
names of the epoch. The problem of brahistohrone was hereby set. This had
been recorded by the Journal Acta Euditorium from Groningen 1697.
In the period from 1700 to 1900 the famous names of optimization were:
Johan Bernoulli, L. Euler, J. Lagrange, Ostrogradski, Hamilton, Jacobi,
In this century, an important foundation of the optimization theory
was given by Lev. Simonović Pontrjagin 1956. with his Principle maximum
and Richard Bellman 1957 with his Principle optimality.
In Yugoslavia first research project on optimization, by initiation
of mathematician, 1961-63 was in the organization of the three Institutes
for nuclear sciences from Belgrade, Zagreb and Ljubljana.
The program of this Simposium, dedicated to three hundred years of
foundation of Optimization, included the following hystorical and reserch
Petrović R.: 300 years of Optimization Theory - Retrospectives.
Dajović S.: Intersection Principles in Calculus of Variations and Optimal
Kovačević-Vujičić V. Stabilization of internal Methods for Linear Optimization.
Maksimović S.: Calculation of Big Structural Systems on the basis FTE
and Criteries of Optimization.
Cvetković D.: Combinatorial Optimization and the Graph isomorphism
Opricović S.: Multycriterial Optimization and Compromise Solution.
Bilen B.: Optimal Control of Ships on the initial Shipsway.
Vujičić V.: About Action Principle and Optimal Control of the Mechanial
Vujanović B.: About Kanonical Bilinear Forms of Variational Principles
in Heat Conduction.
Bačlić B.: Optimal Linearization of Nonlinear Diffuzion Problems.
Spasić D.: About Lagrange's Problem: Optimal Forms of Coulmn.
Atanacković T.: About some Variational Principle and Applications.
Stojić M.: Principle of Optimization and Appliations in Sciences and
Vuković J. i Obradović A.: Optimization of System Bodies Motion under
the limitations with internal Reactions.
Vukobratović M.: About Researh Problems of Operational Criteries of
Activ Systems Optimalization.
Miljanić P.: Review on the Simposium Contributions.
V. Vujičić, in a short lecture, established the Principle of action
in the new form using total work of active forces and of inertia force.
In the closing lecture, academician Petar Miljanić gave positive evaluation
of the results of participants.
The Symposium pointed out the importance of optimization both in applying
to different areas of science, enginnering technology, and to different
areas of working and living spheres of human activity. It also pointed
out the importance of optimization elements in education and proffesional
study of young generation.
K. S. H.