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 Выпуск 57
- Kashtanov V., Kondrashova E. Research of semi-markov queueing models using controlled input flow. bsmap-flow
The research of queuing model with controlled semi-Markov batch flow is carried out. CBSMAO-flow is a generalization of BMAP-flow. Several alternative designs of a control set are considered. The income functional is constructed on trajectories of a controlled semi-Markov process. Two theorems are proven about the structure of the cumulative income functional for the novel queuing model under consideration.
- Usik E. Optimization of nonlinear cascade systems in Lurie form with bounded external disturbances
We consider nonlinear cascade systems in Lurie form with bounded disturbances and solve the optimal control problem using the method of invariant ellipsoids. The obtained result is compared with the previously obtained classic result based on Lyapunov function.
- Stetsyura G. Fast execution of parallel algorithms on digital systems with dynamically formed network structures
Wireless optical connections are suggested to accelerate execution of parallel algorithms by supporting fast formation of connection structures and fast distributed computations in a digital system.
- Belenky A., Bolkunov D. Game-theoretic approach to analysis of future regional power supply system
We design the elements of an automated tool for the quantitative analysis of the future regional power supply system based on the opinion of regional authorities on the current and future availability of power supply services in the industry and in the domestic sector. A mathematical model is suggested to estimate the return of investment into new power station and storage construction. The model includes a non-cooperative game on polyhedra, where the first player’s payoff function adds up from the bilinear and the linear function of vector arguments, whereas the the payoff function of the second player is a bilinear function of the same arguments. We prove that equilibria in this game can be found by solving a dual pair of linear programming problems. These equilibria determine, in particular, the volume of investment for generators and the electricity price for consumers, which are mutually acceptable to both parties.
- Lazarev A., Korenev P., Sologub A. Metric for minimum total delay problem
We consider the NP-hard 1|rj|PTj scheduling problem and suggest the polynomial time algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs the metric introduced in the parameter space. We also consider possible application of such an approach to the other scheduling problems.
- Ivanov R., Mikhalskii A., Ivanov V., Chekin S., Maksyutov M., Kashcheev V. On identification of morbidity parameters in heterogeneous model: cases of complete and incomplete information
We suggest a methodology to estimate morbidity parameters in a three-state model, which includes the heterogeneity factor modeled with a gamma-distributed random variable. Models with complete and incomplete information are considered and various methods of risk estimation are discussed. We give estimates of morbidity radiation risks in four classes of diseases based on data from the Russian National Radiation Epidemiological Registry. The methodology can be used during the development of radiation protection systems.
- Kushnikova E., Rezchikov A., Ivaschenko V., Filimonyuk L. Models and algorithms of damage minimization from industrial pollution
We suggest the formal setting for the problem of damage minimization from industrial pollution. The algorithm is developed, which allows increasing enterprise efficiency due to the decrease of ecological penalties and damage from atmospheric pollution.
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