Automatic Discontinuous 2×1 Transmission Lines with Sections of Different Productivity (q_1 > q_2), in the Case of Simultaneous Failures of the Sections and the Bunker

摘要

An analytical solution is derived for automatic discontinuous 2×1 transmission lines with sections of different productivity (q_1 > q_2), in the case where simultaneous failures of the sections and the bunker are taken into account. The solution provides the basis for improvements in the design of such lines. The mathematical principles that have been developed evidently permit the analysis of any 2×1 transmission lines. The creation of mathematical principles for the description of automatic lines permits more accurate analysis, in which simultaneous failures in the sections and the bunkers are taken into account. Such failures increase the overall losses of the line, which depend on the reliability of the sections and the bunkers. We may distinguish between two types of bunkers: storage bunkers and transit bunkers. Storage bunkers go into operation in the case of failures in the sections or else operate periodically when the productivities of the sections are different. This permits preventive maintenance of the bunker throughout line operation, so that its reliability remains close to one. The transit bunker not only stores parts but transfers them between sections. This bunker operates constantly and synchronously with the sections. With simultaneous failure, some rules must be established for the repair of two or more simultaneously faulty sections of a section and bunker Repair may begin at once or await the arrival of the repair team. Bunker failure interrupts the operation of the two adjacent sections and therefore its influence on the losses of the line is greater than that of section failure. All these factors require study. In the present work, we investigate the influence of simultaneous failures of sections and bunkers on the productivity and reliability of automatic lines. The goal is to find an analytical solution for discontinuous 2×1 automatic lines with sections of different productivity (q_1 > q_2), in the case of simultaneous failures of the sections and the bunker.