A closed form solution to the unsteady boundary layer flow of visco-elastic fluid (Walter’s Liquid B Model) past a stretching plate has been obtained. Using the obtained velocity components and , the heat transfer problem has been studied. The behaviour of velocity components and temperature field has been studied though the graphs drawn for various randomly chosen values of time duration and visco-elasticity. Boundary layer thickness, skin friction and the Nusselt number have also been obtained and studied through graphs.
Optimal planning of а production stochastic output in condition of the realization of Markov process in a closed loop queuing system is considered. It is performed calculations of the probability distribution of production output optimized by prices of its implementation, when the completeness of the products and time constraints for each production equipment are given. The composite principal-dual simplex for linear programming solving is demonstrated.
We consider the axisymmetric bending problem of orthotropic circular plate resting, with the whole area, on an elastic foundation. The plate edge is simply supported. On the basis of the Fuss-Winkler hypothesis, within the framework of the Hambartsumyan revised theory that takes into account the effect of transverse shear and compression, the differential equations of the problem are obtained. On the basis of the numerical analysis of the dimensionless results of the problem solution certain qualitative conclusions are made.
This article relates to the field of mathematical logic, modeling, we propose a method of constructing a model on the example of the human cardiovascular system.
The study of biological systems only within physiology or medicine does not allow to fully explore the complex processes.
For us is important to identify and show general patterns in the various fields of knowledge, which in turn affects the formation of the overall picture of scientific processes.
Make it offered, by applying the structure of these processes on the elements of the proposed model space.
I hope that the proposed ideas will bring new impetus to the study and understanding of the issues considered.
A set of knots is called -independent if for arbitrary data at those knots, there is a (not necessary unique) polynomial of total degree at most that matches the given information. For an arbitrary -independent knot set in we are interested with -fundamental polynomials which have simplest possible form. In the present paper we bring necessary and sufficient conditions for the set of cardinality not exceeding , such that all its knots have -fundamental polynomials in form of products of linear factors We bring also necessary and sufficient conditions for -independence of non-coplanar knot sets in of the mentioned cardinality
The subject of mathematical modeling in the framework of the application of its student builders. The developed model for the implementation of works associated with the construction of the hotel and is composed of the network graph.
In conclusion, the author emphasizes that the problem allows to conclude that mathematical modeling is a powerful tool in solving applied problems in engineering and to the description of concepts such as network schedules of construction work.
In this paper we will find the solution of quantile hedging problem using the duality theory of linear programming. This problem is relevant because market of financial options is just beginning its development. It is necessary to determine the capital, portfolio and the initial capital value as the value of the option for which current payment obligation is performed.
So, was built hedging strategy, that maximizes the probability of a successful hedging, given the restriction on the required cost. These solutions have been applied in practice for CRR-model (case of complete market) and trinomial model (case of incomplete market).
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