On the issue of rational use of production areas in the enterprise

This paper considers the problem of uneven loading of the enterprise's production areas, when in the first half of the year they were significantly underutilized, and in the second — considerably overloaded. The result of solving this problem is to create a flexible approach to the planning of production areas, for which a mathematical model of the assembly site has been developed. This model is a linear programming problem. Four options were considered. The cost-effective option is to fulfill all orders in one shift and gradually rent the premises throughout the year. It can be noted that in general, it is more profitable to make absolutely all orders than not to make them — this is due to the high cost of equipment, so it is not possible to sacrifice it. The only exception when it is more profitable not to make part of the orders is if the rental of production areas occurs only at the beginning of the year. In the conditions that are now in the enterprise (one cannot rent areas per year, work in one shift), it is most profitable not to make part of the orders, and this option will be the second in total costs. As a result, a mathematical model of the enterprise was obtained, which can be used on tape transport system to assess the capabilities of the enterprise. This model can be used to obtain forecast values for costs. Further, this model can be extended to all other types of products.

On Coupled Dynamics of Frictional Guides in Tape Transport Systems

Stationary guides introduce friction on to a travelling tape in the longitudinal and lateral directions. The longitudinal friction increases the tape tension and the lateral friction dampens the lateral tape motion (LTM). A comprehensive mathematical model of the coupled longitudinal and lateral tape dynamics is developed. Frictional effects over a cylindrical guide are modeled as concentrated loads in both longitudinal and lateral directions. In the range of tape transport velocities that are of interest to data tape recording, it was shown that frictional damping causes reduction of resonant frequencies and resonance amplitudes. Positioning of the guiding elements could significantly influence the dynamic response of LTM.

Characterization and Simulation of MIMO Transport Systems in Tape

The potential for significant capacity and performance improvements in tape storage systems appears to be substantial [1],[2]. Advances in several areas, however, are necessary to foster increases in linear and track densities and consequently achieve higher cartridge capacities and improved performance [3],[4]. Reliable and precise tape transport and track-following servomechanisms are of fundamental importance to guarantee best read-channel performance on all parallel data channels during tape operation. In particular, tight control of tension and potentially of tape-dimensional stability (TDS) variations will be necessary for moving to thinner tape material, which in turn will enable an increase in volumetric density. Figure 1 shows the block diagram of conventional tape transport and track-following servomechanisms in a tape drive [5]. A digital dual servo channel provides estimates of the tape velocity, tape longitudinal position, and head lateral position, which are derived from signals read from dedicated servo bands [6]. Hall sensors provide tape velocity information from the individual reels, which typically is used in the absence of a valid velocity estimate from the servo channel. One of the main impairments affecting the performance of tape drives is the variation of tape tension [7],[8], which may be induced by, e.g., reel eccentricities.