Application of Optimization Methods to Solid Phase Analysis of Combustion Gases Desulphurization Products
Abstract The variations in calcium and sulphur concentrations measured along cross-sections of limestone-lime sulphated particles in scanning electron microscope (EDS microanalysis) and the computation of the sum of oxides CaO+SO 3 , ( s ) and the molar ratio CaO/SO 3 , ( r ) are essential to identifying the compounds which could appear. A method of estimating the phase of sulphation limestone/lime products is presented in this paper. The aim of this method is to find such component proportions which minimize the differences between the measured and the calculated values of s and r . The method is developed using the software package CAMOS and enables one to calculate automatically the component proportions for the given system. In the paper the CaS–CaSO 4 –CaO–CaCO 3 and CaS–CaSO 4 –CaO–Ca(OH) 2 systems are considered. Some experimental examples are also shown.
Computer Aided Multicriterion Optimization System in Use
In the paper software package called Computer Aided Multicriterion Optimization System (CAMOS) is briefly described. The system enables the designer to solve single and multicriterion optimization problems for nonlinear programming models with continuous, integer, discrete and mixed design variables. The system is designed to facilitate the interactive processes considering both input/output information arrangement and multicriterion decision making problems. Several engineering design examples are presented to show the advantages of the use of the system. These examples deal with design and optimization of helical springs, hydrostatic journal bearings, helical gearsets multiple clutch brakes. Multicriterion optimization models for all the examples are briefly described and the computer aided design sessions with CAMOS are presented. The structure of CAMOS and the subroutine which describes the design problem are arranged in the way that the analysis, optimization and decision making phases are one entity. The analysis and decision making phases can be supported by a graphical illustration of the problem formulation and the solution obtained. Both the system and problem oriented computer aided optimum design modules are coded in FORTRAN and prepared for an IBM PC/XT/AT.
Interactive Multicriteria Optimization in Design Process
In this chapter MO-procedures treated in Chapter 2 will be developed into interactive procedures which integrate the decision making process into optimization algorithms. The interactive procedures provide the Decision Maker (DM) with a selection of Pareto-optimal solutions which to some extent are representative for the whole set of available solutions. This procedure consists of a sequence of decision and computation phases. In the decision phase the DM decides whether or not a solution is optimal with respect to his implicit preferences. In the latter case he must give some information about the direction in which he expects to obtain a better solution. In the computation phase the new solution is generated for the next decision phase. The procedure is stopped when the optimal solution which reflects the DM’s preferences is found. Such a dialogue does not only improve the implicit preferences of the decision maker but also supports and simplifies the process of decision making.