The article provides a solution to the problem of placing mobile users’ queries (tasks or software applications) on a balanced virtual machine (VMs) developed on cloudlets placed near base stations of the Wireless Metropolitan Area Networks (WMAN) taking into account their technical capabilities. For this purpose, hierarchically structured architecture and algorithm based on cloudlets are proposed for the selection of virtual machines that provide the requirements (solution time and cost) to the solution of the user’s task. An approach to the optimal VM selection is proposed for the solution of Bi-Criteria selection out of set of VMs based on Skyline operator.

The paper explores the architecture of mobile cloud technologies. The advantages and the problems emerging during the use of this technology are analyzed. The study analyzes the establishment of network infrastructure based on cloudlets at the second level of mobile computation clouds with hierarchic structure. At the same time, the issues of computation and meeting the demand for memory resources of mobile devices are investigated by employing this technology. The paper presents the solution of the linking problem of cloudlets located in the proximity of base stations of wireless metropolitan area networks (WMAN). The study also determines the number of communication channels among cloudlets for the purpose of effective utilization of cloudlet resources. The issue of uploading necessary program extensions to a corresponding cloudlet by using the possible number specifying the importance of cloudlets was investigated and a method was proposed.

Article studies development dynamics of mobile cloud technologies. Advantages of this technology and problems occurring during its use are analyzed. At the same time, issues related to meeting the demand of computing and memory resources of mobile equipment using this technology are studied. For this purpose, main monitoring parameters, especially delays in network, CPU usage percentage, memory usage, completion time of intended essential operations etc. are analyzed. Considering significance of selected parameters in Cloudlet creation, Integral monitoring parameter was established. In the article analyze technologies were given as the time series of integral parameter. Thus article studies conditions necessitating development of cloudlets on mobile computing clouds and solves issues of forecasting location time of cloudlets near certain base stations.