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 Выпуск 93
- Chaplinskaya N. Research of ergodic heterogeneous "greedy-vertices" resource networks
A modification of the graph threshold dynamic model "resource network" -- "resource network with greedy vertices" is considered. At each discrete-time moment, the vertices of the graph transfer the resource to each other through the edges with limited throughputs. First they transfer the available resource to their own loops, and then the rest of the resource is distributed to the outgoing edges according to the rules of the standard resource network (in proportion to the throughputs taking into account their limitations). The topology of an ergodic heterogeneous resource network with "greedy" vertices is considered -- the network is described by a strongly connected directed graph. It is shown that when the values of the total resource are not larger than the sum of the throughputs of all loops, the network with "greedy" vertices stops, which is impossible for a standard ergodic resource network and is caused by the existence of modified loops; the nature of the network stop is investigated. For the values of the total resource that are larger than the sum of the throughputs of all loops, it is proved that from a certain time moment the network will function equivalently to the corresponding standard resource network.
- Chebotarev P., Maksimov V. Two-component societies in the ViSE model: how the level of cooperation and voting threshold affect the capital dynamics
Under the assumptions of the ViSE model, representations of the expected capital gains in societies consisting of a group and egoists are obtained. In the general case, finding these quantities requires integration; for the case of a Gaussian proposal generator, explicit expressions are obtained for them. The dependences of these quantities on the level of cooperation and the voting threshold are investigated: for Gaussian and symmetrized Pareto distributions of stochastic proposals, a neutral and unfavorable environment, a constant and non-constant number of participants. These dependencies are represented by surfaces in . Conditions that determine the comparative effectiveness of group and egoistic strategies, as well as the benefits of society as a whole, are discussed.
- Grebenuk G., Krygin A., Sereda L. Models, methods and practical recommendations for optimizing energy consumption in households
An approach to optimizing energy consumption in households is considered, which makes it possible to reduce the labor intensity of calculations by active consumers of economically beneficial modes of household appliances. On the basis of the analysis of the applied methods of optimization of energy consumption modes, the reasons limiting the use of these methods in the practice of households are revealed. One is the availability of data on optimized appliances and constraints. The formalization of the requirements for the modes of use of household appliances with cyclic, thermostatic and combined modes of operation has been completed. The features of the formation of constraints in the problem of linear programming are shown and a methodology for optimizing the modes is proposed, which is available due to labor intensity to an active consumer. The results of modeling are presented, confirming the effectiveness of the proposed method.
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