Estimation of the Linear Convolution Sensitivity of Particular Criteria during the Expert Determination of Weight Factors
A method for solving the problems of multicriterion optimization on the basis of the use of aggregated criterion in the form of the linear convolution of particular criteria, where the weight factors are obtained by ranking the particular criteria by their significance degree, is discussed. A procedure that allows one to estimate a change in the optimal solution with the elementary variation of expert judgments is proposed. A numerical example is presented.
A classification of voting procedures in small groups is proposed, based on the information about candidate's orderings obtained from voter's ballots.Descriptions of known from literature voting procedures are given.
The problem of axiomatic and algorithmic constructions of the threshold decision making is studied in the case when individual opinions are given as m-graded strict preferences (with m ≥ 3). It is shown that the only rule satisfying the introduced axioms is the threshold rule. Two explicit algorithms are presented: the ordering algorithm, under which the vector-grades of alternatives are successively written out, and an enumerating social decision function corresponding to the natural order of the weak order equivalence classes.
The system of equations of gravity surface waves is considered in the case where the basin's bottom is given by a rapidly oscillating function against a background of slow variations of the bottom. Under the assumption that the lengths of the waves under study are greater than the characteristic length of the basin bottom's oscillations but can be much less than the characteristic dimensions of the domain where these waves propagate, the adiabatic approximation is used to pass to a reduced homogenized equation of wave equation type or to the linearized Boussinesq equation with dispersion that is “anomalous” in the theory of surface waves (equations of wave equation type with added fourth derivatives).The rapidly varying solutions of the reduced equation can be found (and they were also found in the authors' works) by asymptotic methods, for example, by the WKB method, and in the case of focal points, by the Maslov canonical operator and its generalizations.
This compilation presents papers on the techniques of building global international university rankings, participation in them of Russian higher education institutions including the winners of 5/100/2020 Federal Project, the positions of national higher education in the international market of educational services. The authors analyze the methodology of ranking higher education institutions, the experience of developing rankings of leading universities in the Post-Soviet area and the BRICS countries. The authors are workers of Russian and foreign universities and research institutions as well as other organizations dealing with the development and analysis of rankings. The book is addressed to instructors, scientific workers, and to everybody interested in international education; global, regional, and national university rankings; the possibilities of enhancing the competitiveness of national higher education institutions. This edition is prepared in the framework of implementation of the Government resolution «On measures of state support of leading universities of the Russian Federation in order to enhance their competitiveness among the leading world scientific and educational centers» (as of 16 March 2013 № 211).
A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.
Event logs collected by modern information and technical systems usually contain enough data for automated process models discovery. A variety of algorithms was developed for process models discovery, conformance checking, log to model alignment, comparison of process models, etc., nevertheless a quick analysis of ad-hoc selected parts of a journal still have not get a full-fledged implementation. This paper describes an ROLAP-based method of multidimensional event logs storage for process mining. The result of the analysis of the journal is visualized as directed graph representing the union of all possible event sequences, ranked by their occurrence probability. Our implementation allows the analyst to discover process models for sublogs defined by ad-hoc selection of criteria and value of occurrence probability
The geographic information system (GIS) is based on the first and only Russian Imperial Census of 1897 and the First All-Union Census of the Soviet Union of 1926. The GIS features vector data (shapefiles) of allprovinces of the two states. For the 1897 census, there is information about linguistic, religious, and social estate groups. The part based on the 1926 census features nationality. Both shapefiles include information on gender, rural and urban population. The GIS allows for producing any necessary maps for individual studies of the period which require the administrative boundaries and demographic information.
Existing approaches suggest that IT strategy should be a reflection of business strategy. However, actually organisations do not often follow business strategy even if it is formally declared. In these conditions, IT strategy can be viewed not as a plan, but as an organisational shared view on the role of information systems. This approach generally reflects only a top-down perspective of IT strategy. So, it can be supplemented by a strategic behaviour pattern (i.e., more or less standard response to a changes that is formed as result of previous experience) to implement bottom-up approach. Two components that can help to establish effective reaction regarding new initiatives in IT are proposed here: model of IT-related decision making, and efficiency measurement metric to estimate maturity of business processes and appropriate IT. Usage of proposed tools is demonstrated in practical cases.