scholarly journals Global criterion formation in producer’s decisions

2014 ◽  
Vol 6 (1) ◽  
pp. 102-114
Author(s):  
Yury Vasilyevich Krivolutskiy ◽  
Elena Yuryevna Zakharova

This article delves into decision making in producers activity under shortage of financials, materials and human resources. Every decision to be made is generally a multicriterial task. At the same time these criteria are controversial: amelioration of one criterion leads to degradation of another. That is why solution finding with the use of mathematical methods is worth to consider. Hereafter theoretical stuff and practical exemplification of decision making under multicriterial conditions are presented. In many mathematical methods of decision making multicriterial task is simplified to one criterion. Therefore the main attention is paid to global criterion method, providing a means to define optimum out of several criteria. The point of the method assumes to weigh up the initial criteria and create a single global criterion, serving as a key to decision making. The weight coefficient of each criterion is defined by experts. There are several methods of combining criteria. Nevertheless in practice three methods are used: criteria relation, criteria multiplication and criteria summing up. The methods are analyzed and practical examples are shown in the article. Other approaches to combining criteria are also examined. It is generally agreed that every method of decision making has its own pros and cons, which in turn define the optimum range of its application.

2018 ◽  
Vol 52 (4-5) ◽  
pp. 1233-1243
Author(s):  
Amir Moslemi ◽  
Mirmehdi Seyyed-Esfahani

Response surface methodology involves relationships between different variables, specifically experimental inputs as controllable factors, and a response or responses by incorporating uncontrollable factors named nuisance. In order to optimize these response surfaces, we should have accurate response models. A common approach to estimate a response surface is the ordinary least squares (OLS) method. Since OLS is very sensitive to outliers, some robust approaches have been discussed in the literature. Most problems face with more than one response which are mostly correlated, that are called multi-response problem. This paper presents a new approach which takes the benefits of robust multivariate regression to cope with the mentioned difficulties. After estimating accurate response surfaces, optimization phase should be applied in order to have proper combination of variables and optimum solutions. Global criterion method of multi-objective optimization has also been used to reach a compromise solution which improves all response variables simultaneously. Finally, the proposed approach is described analytically by a numerical example.


1994 ◽  
Vol 9 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Jan A. Karczewski ◽  
Witold M. Paczkowski

Final forming of a space truss used as roof in a sports or market hall is a result of searching for a solution which is the best one according to various criteria such as safety, reliability, economy, functionality and so forth. An illustration of this problem a numerical example of various optimizations of an orthogonal, double layer space truss of dimensions 24 × 24 m made of steel is shown in the paper. First, eight single-criterion objective functions such as: weight of members, weight of nodes, weight of columns, weight of whole truss, weight of walls and roofing elements made of steel, vertical displacements of a node in the middle of the truss, energy of deformation and a certain function of geometry of the truss were investigated assuming the number of divisions and the depth of the truss as decisive variables. The problems were formulated as discrete ones since the element cross-sections were selected from a finite catalogue. The All Variants Inspections Method was employed. For three among the aforementioned objective functions, describing weight of structure, displacement of the central node and the geometry of the truss, a discrete multicriterion optimization problem was formulated and solved. From the set of compromises a preferred sollution has been chosen by using the discrete functions and, the global criterion method.


2019 ◽  
Vol 22 (1) ◽  
pp. 21-47
Author(s):  
Sam Mosallaeipour ◽  
Seyed Mahdi Shavarani ◽  
Charlotte Steens ◽  
Adrienn Eros

Purpose This paper aims to introduce a practical expert decision support system (EDSS) for performing location analysis and making real estate location decisions in the organization’s facility and real estate management (FREM) department in presence of several decision criteria, under risk and uncertainty. This tool is particularly useful for making strategic decisions in facility planning, portfolio management, investment appraisal, development project evaluations and deciding on usage possibilities in an unbiased, objective manner. Design/methodology/approach The proposed EDSS uses fuzzy logic and uncertainty theory as two of the most useful tools to deal with uncertainties involved in the problem environment. The system performs an unbiased mathematical analysis on the input data provided by the decision-maker, using a combination of Analytical Hierarchy Process (AHP) and Global Criterion Method; determines a suitable compromise level between the objectives; and delivers a set of locations that complies best with the outlined desires of the management as the final solution. The application of the system is tested on a real case and has delivered satisfactory results. Findings The proposed EDSS took the defined objectives, the list of alternative locations, and their attributes as the required input for problem-solving, and used a combination of AHP, Possibilistic approach, and global criterion method to solve the problem. The delivered outcome was a set of proper locations with the right attributes to meet all objectives of the organization at a satisfactory level, confirmed by the problem owners. Originality/value The application of such a system with such a degree of preciseness and complexity has been very limited in the literature. The system designed in this study is an Industry 4.0 decision making tool. For designing this system several body of knowledge are used. The present study is particularly useful for making strategic decisions in the domains of portfolio management, investment appraisal, project development evaluations and deciding on property usage possibilities. The proposed EDSS takes the information provided by the experts in the field (through qualitative and quantitative data collecting) as the inputs and operates as an objective decision-making tool using several bodies of knowledge considering the trends and developments in the world of FREM. The strong scientific method used in the core of the proposed EDSS guarantees a highly accurate result.


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