Сборник трудов VI-й Международной конференции имени А.И. Китова "Информационные технологии и математические методы в экономике и управлении (ИТи ММ-2016)" 26-27 мая 2016
The problem of regulators (controllers) design is extremely relevant in connection with the penetration into all technological areas of the methods of precise control of objects with feedback. Such devices are being more and more used, which increases the variety of controlled objects. This list includes all new objects of robotics and technological setups, which have much more complex mathematical models. One of the most urgent problems in this area is control of nonstationary objects. Parameters of mathematical model of these objects are given with some uncertainty, but not in fixed values, i.e. by only intervals of their possible changes. If the intervals are too wide, adaptive systems have to be designed, but if they are not too wide, then one can try to find a universal regulator setting that will be sufficiently effective for all ratios of the model parameters within the acceptable intervals of their changes. The paper proposes a new method of the numerical optimization of regulator for finding such a setting for the worst object model that is for the worst combination of all variable parameters. Finding the worst model is also carried out by a numerical optimization method, in which a combination of model parameters is found where the best regulator gives the worst result. The problem is proposed to solve in several optimization cycles with alternation of objective functions. The technique has been well illustrated by a numerical example.
Sufficient conditions under which the periods of the sequences of maps generator IA divisible by 2n.
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
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.