The article deals with the issue of production of electrode tapes. A mathematical model of the parameters of the electrode tape forming process is described. Mathematical calculations of the porosity, thickness and mass of the active layer are given. A conclusion is made about the composition of the impregnating rolls and the accuracy of dosing fractions. An example of calculating the molding parameters with an active CuO layer is given.
Keywords: electrode tapes, technologies, composite materials, thickness and porosity of the active layer
The article deals with the issue of automation of technological production of dispersed materials. The mathematical model of dry charge dosing is described. A fast Fourier transform (FFT) method is proposed for the analysis of acoustic emission signals. The conclusion is made about the economic aspect of production and the accuracy of dosing fractions.
Keywords: automation of production, technology, dispersion composition, the method of fast Fourier transform
Using a device of close homogeneous exponential queueing networks (QN) a mathematical model of an information system functiouning without considering influence of blockings was worked out. A proccessor and the united resourse "channel - external memory" are considered as shared resources. All the users' requests are assumed to be single and homogeneous and the servicing discipline "First Come First Served" is used for sequence of their execution. Analytic expressions are given for calculation of the integral characteristics of the system: the distribuition law of number of messages in a system, the average number of messages at a node, the average sojourn time of a message at a node, the average sojourn time of a message in a system.
Keywords: data base, blocking, queueing network, servicing discipline for messages, exponential distribution law, conceptual model, state space, the global balance equation, normalizing constant, stationary probability, the distribuition law of number of messages
Using a device for close exponential networks of mass service a mathematical model for solving the problem of getting integral indexes of distributed information system on the basis of local computing network using two-level architecture “client-server” was worked out. The peculiarity of the model being worked out is in making a selective choice of information at the server and via the channel of communication not the full data base is transmitted but some separate parts of it, which satisfy the conditions of SQL-request search. Using the developed earlier heuristic algorithm the problem of optimal placing the distributed data base onto the local computing system knots according to the criterion of minimal average time of system reaction for users’ requests was solved. The results of numerical experiments are given.
Keywords: Distributed data base, selective information choice, SLQ-request, transaction, system conditions space, stationary probability, transitive probability, service intensity in network knots, information volume matrix, system reaction time
Using a device for close exponential networks of mass service a mathematical model for solving the problem of getting integral indexes of distributed information system on the basis of local computing network using file-server architecture was worked out. The heuristic algorithm of optimal placing the distributed data base onto local computing network knots according to the criterion of minimal average time of system reaction for users’ requests is represented. This algorithm uses the understanding of data bases as the points of multidimensional space and the knots in which those data bases are placed as clusters or classes. The results of numerical experiments are given.
Keywords: Distributed information system, distributed data base, local computing system, mass service network, conceptual model, exponential law of distributing the random value, stationary probability, mark process, the global balance equation, system reaction tim