Heuristic rating estimation is a newly proposed method that supports decisions analysis based on the use of pairwise comparisons. It allows the ranking values of some alternatives (herein referred to as concepts) to be initially known, whilst ranks for other concepts have yet to be estimated. To calculate the missing ranks it is assumed that the priority of every single concept can be determined as the weighted arithmetic mean of the priorities of all the other concepts. It has been shown that the problem has an admissible solution if the inconsistency of the pairwise comparisons is not too high. The proposed approach adopts heuristics according to which a weighted geometric mean is used to determine the missing priorities. In this approach, despite increased complexity, a solution always exists and its existence does not depend on the inconsistency or reciprocity of the input matrix. Thus, the presented approach might be appropriate for a larger number of problems than previous methods. Moreover, it turns out that the geometric approach, as proposed in the article, can be optimal. The optimality condition is presented in the form of a corresponding theorem. A formal definition of the proposed geometric heuristics is accompanied by two numerical examples.
The article deals with a formal approach to solving manufacturing problem with defects removal and presents the application of this approach to flow-shop system with defects. The defects are detected during quality control and thus they are unexpected events. Moreover, a job processing time is not predetermined, and it may contain the unknown time needed to repair. Therefore, stochastic uncertainties are considered, but in addition, we model the process of decision making. The algebraic-logical meta-model methodology constitutes the basis for our approach. A hybrid algorithm for constructing a solution based on the process simulation using special local optimizing task and algebraic-logical models switching when defect detection occurs is presented. In particular, the following elements of the presented approach are shown: disturbances type analyzing, definition of switching states set, definition of subproblems, algebraic-logical metamodels creating for all subproblems, switching types determining, determination of the switching rules, the switching function, and components of special local criterion definition. The article shows results of computer experiments.
Abstract. The aim of this article is to present an analysis of the impact of ERP-APS-MES systems integration on decision-making process in the manufacturing company of global nature. As a part of the article the flow of data in the integrated ERP, APS, and MES systems and including of these data in Business Intelligence systems were analyzed. Two types of BI systems have been considered, the first classic, based on the search technologies and processing of OLAP data, the second type are the systems of "In-Memory" class. There has been also described the impact of ERP APS and MES systems integration, on the efficiency of business management at all levels: strategic, tactical and operational. The approach proposed by the authors aims to improve significantly the reliability of data. As a consequence this will reduce the risk of erroneous data used in planning and evaluation of implementation processes. According to the authors the integration of these systems will significantly increase the effectiveness of management in the manufacturing company.
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