An approach is presented that makes it possible to solve optimization problems in typical tasks of vibro-isolation of buildings, apparatuses and people located on movable surfaces (e.g., in earthquake areas), with considerably reducing computational chore by repeated use and optimal storage of large bulks of search information. Search information is represented in a blocked form and stored using the page principle of memory arrangement. With such an approach, the random access memory and external memory are divided into continual areas (pages) of fixed (similar) dimensions. Using such a paged memory makes it possible to store search state matrices of practically unlimited dimensions. Moreover, the RAM can accommodate an unlimited number of blocks required for processing search information at each current moment. Storing search information in pages of the external memory makes computation more reliable and allows one to stop computation with the possibility to resume it later. The efficiency of the developed approach is illustrated by solving a problem of vibro-protection of mechanical systems subject to periodic vibrations. One of the possible approaches to solving such problems is considered, which is based on using vibro-isolation. In the problem analyzed, a system is assumed to consist of a fixed foundation and an object of the protection secured on it with a vibro-isolator. The vibro-isolator is a multi-mass mechanical system consisting of several material points interconnected with vibration-damping elements. The task is to determine the number of vibration-damping elements and their location from the view-point of their cost and vibration-damping effectiveness. To solve the problem, the mechanical system is described by a system of differential equations with control. To find the optimal control, several criteria are formulated, and a multi-criterion optimization problem is solved. The determined control makes it possible to design vibro-isolating devices preserving the integrity of the objects situated in hazardous zones.Keywords: multicriterion optimization, global optimization, efficient storage structures, vibration protection of mechanical systems, computational experiment.