Mathematical Models and Resource Management

Author(s):  
John Beddington ◽  
Daniel Botkin ◽  
Simon A. Levin
Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 517-523
Author(s):  
Sergii Telenyk ◽  
Maksym Bukasov ◽  
Maksym Yasochka

AbstractThe problem of resource management for server virtualization under the limitation of recovery time objective was considered in this paper. Models and methods of workload and resource management of IT infrastructure with server virtualization in terms of time limit for services recovery in case of provision of services by virtual private servers were proposed. Mathematical models for excess and lack of resources was formulated as linear and nonlinear 0-1 programming problems. To solve these problems branch and bound, heuristic and modified genetic algorithms were proposed.


1991 ◽  
Vol 24 (6) ◽  
pp. 117-124
Author(s):  
Francisco Cubillo

The detailed study of the needs and feasibility of the maintenance of the flow regimes established in the river reaches located downstream from dams is an issue which is appearing more and more often as part of the basic considerations for hydraulic and environmental planning as well as for the exploitation of hydraulic resources. The management of a complex system of reservoirs, rivers and waste treatment plants, such as in the case of the Canal de Isabel II of Madrid, regards the needs and feasibility factors as parts of the overall hydraulic planning program of its watersheds. The complexity of Madrid's hydraulic system and the influence that erroneous conclusions could exert upon determining the discharge regimes has prompted the Canal de Isabel II to adopt more technical aids than commonly used for these types of studies. It was necessary to integrate a wide range of mathematical models for water quality, resource management and instream flow, so that ultimately, each alternative could be contrasted with its corresponding economic and social costs.


Author(s):  
Ivan Lisovy ◽  
Georgy Pylypenko

It is shown in this paper that the automatic control of the basic parameters of a telecommunication network occurs in conditions of uncertainty, that is connected with the lack of sufficient statistics characterizing the control object (in this case, the system of information distribution or the transmission, path). Therefore, when managing the resources of a telecommunication network, it is necessary to take into account some factors that are not formalized or difficult to formalize. It is shown that in the process of managing the resources of telecommunication networks there are a number of problems that cannot be described by well-known management methods, for example: it is not possible to reliably determine the state of the information distribution system in a given node of the network, and in the process of operational management there is not enough time to collect and process the necessary statistical data; it is not possible to really assess the impact of interference on the quality of the transmission path; it is not possible to estimate the operator's losses caused by deviations of the parameters of the paths or their malfunction, etc.  It is proposed to solve these problems in the theory and practice of network management by constructing and using fuzzy algorithms in mathematical models of resource management. At the same time, the level of complexity of such control systems is so high that the use of only known deterministic and stochastic models does not provide desirable characteristics. In these cases, adequate mathematical models of control objects (information distribution systems, transmission paths) should be built on the basis of the fuzzy set theory apparatus, and the resource management system acquires the features of an intelligent control system. Representing performance indicators using fuzzy numbers can provide more information than accurate deterministic interval estimation.The core of such a control system is the fuzzy controller. It is established that the main problem with creating fuzzy controllers is that changing the parameters of a control object requires modifying the control rules with their subsequent iterative adjustment, which takes time.


Author(s):  
Nailya Rauf kyzy Aliyeva ◽  

Modern scientific research in the agro-industrial sphere is increasingly based on various mathematical calculations. In practice, it is economic and mathematical models that are of particular importance. These methods and approaches have gained particular value and distribution in the production environment, but in modern conditions of production and economic activity, more and more sectoral economic entities are faced with the application of mathematical models in order to improve the efficiency of investment resource management.


Sign in / Sign up

Export Citation Format

Share Document