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IOSO (Indirect
Optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfiel ...
on the basis of
Self-Organization Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order and disorder, order arises from local interactions between parts of an initially disordered system. The process can be spont ...
) is a multiobjective, multidimensional nonlinear optimization technology.


IOSO approach

IOSO Technology is based on the
response surface methodology In statistics, response surface methodology (RSM) explores the relationships between several explanatory variables and one or more response variables. RSM is an empirical model which employs the use of mathematical and statistical techniques to r ...
approach. At each IOSO iteration the internally constructed response surface model for the objective is being optimized within the current search region. This step is followed by a direct call to the actual mathematical model of the system for the candidate optimal point obtained from optimizing internal response surface model. During IOSO operation, the information about the system behavior is stored for the points in the neighborhood of the extremum, so that the response surface model becomes more accurate for this search area. The following steps are internally taken while proceeding from one IOSO iteration to another: *the modification of the experiment plan; *the adaptive adjustment of the current search area; *the
function type In computer science and mathematical logic, a function type (or arrow type or exponential) is the type of a variable or parameter to which a function has or can be assigned, or an argument or result type of a higher-order function taking or return ...
choice (global or middle-range) for the response surface model; *the adjustment of the response surface model; *the modification of both parameters and structure of the optimization algorithms; if necessary, the selection of the new promising points within the search area.


History

IOSO is based on the technology being developed for more than 20 years b
Sigma Technology
which grew out of IOSO Technology Center in 2001. Sigma Technology is headed by prof . Egorov I. N., CEO.


Products

IOSO is the name of the group of
multidisciplinary design optimization Multi-disciplinary design optimization (MDO) is a field of engineering that uses optimization methods to solve design problems incorporating a number of disciplines. It is also known as multidisciplinary system design optimization (MSDO), and mul ...
software that runs on
Microsoft Windows Windows is a Product lining, product line of Proprietary software, proprietary graphical user interface, graphical operating systems developed and marketed by Microsoft. It is grouped into families and subfamilies that cater to particular sec ...
as well as on
Unix Unix (, ; trademarked as UNIX) is a family of multitasking, multi-user computer operating systems that derive from the original AT&T Unix, whose development started in 1969 at the Bell Labs research center by Ken Thompson, Dennis Ritchie, a ...
/
Linux Linux ( ) is a family of open source Unix-like operating systems based on the Linux kernel, an kernel (operating system), operating system kernel first released on September 17, 1991, by Linus Torvalds. Linux is typically package manager, pac ...
OS and was developed b
Sigma Technology
It is used to improve the performance of complex systems and technological processes and to develop new materials based on a search for their optimal parameters. IOSO is easily integrated with almost any
computer aided engineering Computer-aided engineering (CAE) is the general usage of technology to aid in tasks related to engineering analysis. Any use of technology to solve or assist engineering issues falls under this umbrella. Overview Following alongside the cons ...
(CAE) tool. IOSO group of software consists of: * IOSO NM: Multi-objective optimization; * IOSO PM: Parallel multi-objective optimization; * IOSO LM: Multilevel multi-objective optimization with adaptive change of the object model fidelity (low-, middle-, high fidelity models); * IOSO RM: Robust design optimization and robust optimal control software;


Purpose


Performance improvement and design optimization

IOSO NM is used to maximize or minimize system or object characteristics which can include the performance or cost of or loads on the object in question. The search for optimal values for object or system characteristics is carried out by means of optimal change to design, geometrical or other parameters of the object.


Search for optimal system management laws

It is often necessary to select or co-ordinate management parameters for the system while it is in operation in order to achieve a certain effect during the operation of the system or to reduce the impact of some factors on the system.


Identification of mathematical models

When the design process involves the use of any mathematical models of real-life objects, whether commercial or corporate, there is the problem of co-ordinating the experiment findings and model computation results. All models imply a set of unknown factors or constants. Searching for the optimal values thereof makes it possible to co-ordinate the experiment findings and model computation results.


Robust design optimization and robust optimal control


Introduction

Practical application of the numerical optimization results is difficult because any complex technical system is a stochastic system and the characteristics of this system have probabilistic nature. We would like to emphasize that, speaking about the stochastic properties of a technical system within the frame of optimization tasks, we imply that the important parameters of any system are stochastically spread. Normally it occurs during the production stage despite the up-to-date level of modern technology. Random deviations of the system parameters lead to a random change in system efficiency. An efficiency extreme value, obtained during the optimization problem while solving in traditional (deterministic) approach, is simply a maximum attainable value and can be considered as just conventional optimum from the point of view of its practical realization. Thus, one can consider two different types of optimization criteria. One of them is an ideal efficiency which can be achieved under the conditions of absolutely precise practical replication of the system parameters under consideration. Other optimization criteria are of probabilistic nature. For example: mathematical expectation of the efficiency; the total probability of assuring preset constraints; variance of the efficiency and so on It is evident that the extreme of the one of these criteria doesn't guarantee the assurance of the high level of another one. Even more, these criteria may contradict to each other. Thus, in this case we have a
multiobjective optimization Multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of MCDM, multiple-criteria decision making that is concerned ...
problem.


IOSO robust design optimization concept

IOSO concept of robust design optimization and robust optimal control allows to determine the optimal practical solution that could be implemented with the high probability for the given technology level of the production plants. Many modern probabilistic approaches either employ the estimation of probabilistic efficiency criteria only at the stage of the analysis of obtaining deterministic solution, or use significantly simplified assessments of probabilistic criteria during optimization process. The distinctive feature of our approach is that during robust design optimization we solve the optimization problem involving direct stochastic formulation, where the estimation of probabilistic criteria is accomplished at each iteration. This procedure reliably produces fully robust optimal solution. High efficiency of the robust design optimization is provided by the capabilities of IOSO algorithms to solve
stochastic optimization Stochastic optimization (SO) are optimization methods that generate and use random variables. For stochastic optimization problems, the objective functions or constraints are random. Stochastic optimization also include methods with random iter ...
problems with large level of noise.


References

*I.N. Egorov. Indirect Optimization Method on the Basis of Self-Organization. ICOTA'98, Perth, Australia, July 1...3, 1998 Conference Proceedings, vol.2, pp. 683–690
Brian H. Dennis, Igor N. Egorov, Helmut Sobieczky, George S. Dulikravich, Shinobu Yoshimura. PARALLEL THERMOELASTICITY OPTIMIZATION OF 3-D SERPENTINE COOLING PASSAGES IN TURBINE BLADES. GT2003-38180, Proceedings of Turbo Expo 2003; Power for Land, Sea, and Air; June 16–19, 2003, Atlanta, Georgia, USABrian H. Dennis, Igor N. Egorov, George S. Dulikravich, Shinobu Yoshimura. OPTIMIZATION OF A LARGE NUMBER OF COOLANT PASSAGES LOCATED CLOSE TO THE SURFACE OF A TURBINE BLADE. GT2003-38051, Proceedings of Turbo Expo 2003; 2003 ASME Turbo Expo; Atlanta, Georgia, June 16–19, 2003Egorov, I.N., Kretinin, G.V. and Leshchenko, I.A. "Robust Design Optimization Strategy of IOSO Technology". WCCM V, Fifth World Congress on Computational Mechanics, July 7–12, 2002, Vienna, AustriaEgorov, I.N., Kretinin, G.V. and Leshchenko, I.A. "How to Execute Robust Design Optimization" (.pdf, 395Kb), 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 04–06 September 2002, Atlanta, Georgia


External links


IOSO technology website
Application examples
Optimization of the Gas Turbine Engine Parts Using Methods of Numerical Simulation (pdf, 1500Kb)Sam146 Fan Stress Characteristics Optimization by IOSO (pdf, 120Kb)Parallel Thermoelasticity Optimization of 3-D Serpentine Cooling Passages in Turbine Blades (pdf, 260Kb)Optimization of Turbine Disk aimed to Mass and Stress Reduction (pdf, 680Kb)Calibration of Microprocessor Control Systems (pdf, 480Kb)Optimization of concentrations of alloying elements in steel (pdf, 370 Kb)Application of IOSO NM and ABAQUS at Civil Structures of NPP (pdf, 550Kb)
Mathematical optimization software Computer system optimization software Computer-aided engineering software Computer-aided design software Optimization algorithms and methods