scholarly journals NUMERICAL STUDY OF THE PROBLEMS OF OPTIMAL RESOURCE ALLOCATION DURING AN EPIDEMIC

2021 ◽  
Author(s):  
О. M. Kiselyova ◽  
V. O. Stroieva ◽  
H. V. Stroieva ◽  
A. R. Kosenko
Keyword(s):  
Raw Materials ◽  
Numerical Study ◽  
Technical Information ◽  
Optimal Placement ◽  
Resources Allocation ◽  
Optimal Resource Allocation ◽  
Distribution Of Resources ◽  
Optimal Resource ◽  
Numerical Research ◽  
Human Problem

In today's global human problem – the COVID-19 pandemic, the optimal resources allocation problem is urgent. Such resources include material, en-ergy, labor, technical, information, financial and others. In turn, resources of each type can be divided into classes. Namely, raw materials can be divided by raw materials types, labor can be divided by professions and qualifications of employees, technical can by technical characteristics, and financial can by sources of funding. The presented problem is devoted to the study of the optimal distribution of resources that correspond to the medical, financial and technical provision of the certain area population. The numerical research of a number of model problems is carried out for the constructed mathematical model of the problem based on the developed theoretically substantiated algorithms of the decision. The presented research results can serve as a useful tool in terms of effective optimal zoning of existing territorial centers, which are able to produce complexes of population during epidemics and meet the needs of consumers in the field of service at the optimal cost of resources. At the same time, if necessary, it is possible to simultaneously solve the problem of optimal placement of such centers.

scholarly journals Numerical study of models of optimal distribution of recreational resources

2018 ◽  
Author(s):  
O. M. Kiselova ◽  
V. O. Stroeva
Keyword(s):  
Analytical Solution ◽  
Numerical Study ◽  
Optimal Solution ◽  
Tourism Industry ◽  
Optimal Placement ◽  
Optimal Distribution ◽  
Optimal Partitioning ◽  
Optimal Resource ◽  
Product Problem ◽  
Recreational Resources

Numerical realization of the problems of optimal distribution of recreational resources adapted to the continuous non-linear multiproduct problem of optimal partitioning of sets, the solution of which can be interesting in the sense of the development of recreation and tourism, is carried out. The success of most management tasks depends on the best way to use resources. In general, this problem is reduced to the problems of optimal resource allocation. The tasks of this type include the tasks of optimal placement of tourist complexes on a given territory, which is attractive in the sense of the tourism industry. In this case, the models of functioning and development of tourist and recreational systems are considered that can be used for analysis and forecasting of the tourism industry, both at the regional and national and international levels. The problem of the optimal distribution of recreational resources in the conditions of the modern and perspective structure of recreational needs was investigated. A mathematical model of the problem is constructed, which is a nonlinear continuous multi-product problem of the optimal partition of a set into its disjoint subsets (among which there may be empty ones) with fixed coordinates of the centers of these subsets under constraints in the form of equalities and inequalities. An analytical solution of the problem is obtained, which includes parameters that are sought as the optimal solution of the auxiliary dual finite-dimensional optimization problem with a nonsmooth target functional. On the basis of the analytical solution of the problem studied, a theoretically grounded solution algorithm was developed. A numerical investigation of the problem is carried out. The presented research results can serve as a useful tool in the sense of effective optimal partitioning of the functioning zones of existing tourist and recreational facilities that are able to produce service complexes to meet the necessary needs of recreants from the service area in conditions of the optimal cost of recreational needs

scholarly journals End-to-End Data Rate Performance of Decode-and-Forward Relaying with Different Resource Allocation Schemes

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Inam Ullah ◽  
Alexis Dowhuszko ◽  
Zhong Zheng ◽  
David González González ◽  
Jyri Hämäläinen
Keyword(s):  
Resource Allocation ◽  
Closed Form ◽  
Data Rate ◽  
Allocation Scheme ◽  
Optimal Resource Allocation ◽  
Decode And Forward ◽  
Optimal Resource ◽  
The Mean ◽  
Resource Allocation Scheme ◽  
Resource Allocation Schemes

This paper studies the end-to-end (e2e) data rate of dual-hop Decode-and-Forward (DF) infrastructure relaying under different resource allocation schemes. In this context, we first provide a comparative analysis of the optimal resource allocation scheme with respect to several other approaches in order to provide insights into the system behavior and show the benefits of each alternative. Then, assuming the optimal resource allocation, a closed form expression for the distribution of the mean and outage data rates is derived. It turns out that the corresponding mean e2e data rate formula attains an expression in terms of an integral that does not admit a closed form solution. Therefore, a tight lower bound formula for the mean e2e data rate is presented. Results can be used to select the most convenient resource allocation scheme and perform link dimensioning in the network planning phase, showing the explicit relationships that exist between component link bandwidths, SNR values, and mean data rate.

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