Abstract. We consider the model of task scheduling in Grid systems that can be represented by the first coordinate quadrant. The process of task scheduling is based on the parity of processor resources and time resources. We previously proposed a classification of sets of multiprocessor tasks that are to be processed by a Grid system that consists of three types: circular-type, hyperbolic and parabolic task queues. We describe the polynomial time ring algorithm, apply it to a circular-type task queue, and compare our results with the optimal packing of rectangles in an enclosing rectangle of minimum area. Our comparative analysis demonstrates the applicability of the proposed ring algorithm in task scheduling in Grid systems.

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The paper presents the method of predicting the learner preferences to make recommendations for building the behavior profile for recommender systems (assistants) personalizing the educational activity in the Internet space. To form the personal information offer and to identify the groups of collaborative filtration of the users with similar preferences, the authors propose the hybrid model of collaborative filtration based on the Item-Item CF and User-User CF methods simultaneously. To reduce the size of space during the search process, the author present a novel heuristic bioinspired algorithm based on the fish school behavior in nature. This method can be characterized by the ability to scale and process the sparse data. To estimate the quality of the developed algorithm, experimental research was carried out on the basis of the benchmark dataset MovieLens.

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