MECHANISMS AND PROSPECTS OF CLASSICAL LOSSLESS COMPRESSION ALGORITHMS IN THE ARCHITECTURE OF OPERATING SYSTEMS, SOFTWARE AND HARDWARE IMPLEMENTATIONS OF COMPUTER-PHYSICAL SYSTEMS

A systematic analysis of classical lossless compression algorithms -RLE, Huffman coding, LZ77 and LZ78is conducted.The research focuses on studying the mechanisms of their operation, key characteristics, advantages and disadvantages, as well as on substantiating their role as fundamental components of modern computing systems.In particular, it is demonstrated that RLE remains indispensable for eliminating sequential redundancy in homogeneous data, while the Huffman method is a reference entropy coding algorithm that eliminates frequency redundancy.The LZ77 and LZ78 algorithms serve as the basis for dictionary compression that eliminates structural redundancy.It is shown that in modern computing systems none of the basic algorithms is used in a "pure" form.Instead, hybrid architectures dominate, in which LZ mechanisms are inextricably integrated with entropy coding.Based on this analysis, the integration of these algorithms into the architecture of operating systems (kernel image and ZRAM memory compression, Btrfs/ZFS file 1677 systems, network protocols, caching of graphics and user interface elements) and software (archivers, media formats) is systematized.The most promising directions for further development and application of classical methods are identified: hybridization (creation of adaptive dictionaries), parallelism (using GPU for high-performance data arrays) and hardware acceleration (FPGA/ASIC).The potential of LZ algorithms in hardware implementations for computer-physical systems and their methodological role in optimizing the control of quantum states is investigated.