instrument-making enterprise

To the Issue of Mathematical Modeling of Process of Functioning of the Instrument-making Enterprise when Usingthe Experimental Data of its Activities

Introduction. Automation control instrument-making enterprise (PP) relies not only on the introduction in its composition of technical means and computing devices, but also on the mathematical model of its production and economic activity. For further development and expansion of modeling capabilities to reduce oscillatory (instability) of the production process, in article we propose to combine the approach based on the use of the principles and methodology of the theory of automatic control (TAU) used in the creation of the virtual process control system of production of similar products of the enterprise instrument and the mathematical description of the dynamics of production activities, PP. Theoretical analysis. To the present time developed structural scheme of enterprise’s activity, based on the above theory, one of the key principles is the principle of backward linkages that improve the quality of management, efficiency of management decisions and thus the sustainability of production of the company. Obtained and the corresponding mathematical models, illustrating structural diagrams. However, there remains a need for further development of the mathematical interpretation of feedback reflecting the influence of the latter on the sustainability and stability of production process PP. Methods. Mathematical model PP without automated control systems, i.e. naturally without the introduction of feedback, the article claims correspond with an open loop control (PSC). Accordingly, a continuous mathematical model of PP with feedback loop reflects the PP with a closed control circuit (FOD). For him mathematical model of the production unit (PSU) corresponds to the PP model, obtained experimentally. As a model production unit PSC adopted model derived from real data of production activities of one of the claims of Saratov. Results. In article the mathematical model of the functioning of the claims covered by the feedback control, i.e. closed the instrument-making enterprise (RFP). They are reduced to normal form of differential equations assigned to them and the coefficients of the feedback and other parameters. Further these equations are presented in the form convenient for the solution in the Mathcad program produced and mathematical modeling. For comparison is given also the simulation of the original RFP, in which the algorithms are given positive and negative feedback (control). It was shown that these control algorithms do not eliminate fluctuations in the production process. Was subject to adjustment in the coefficients of the control algorithms, PP. It is shown that when negative feedback is increased and when the transmission coefficient of the feedback loop, the oscillatory (the ratio of the amplitude of the oscillatory component of the process to its systematic, relatively permanent component) is affected to a lesser extent on the work of the PP, due to the structure of mathematical model of work of the RFP. Conclusions. Proposed approach allowed the modeling of the production activity of PP under different settings and conditions in feedback control loop and to find their optimal values.

The Improvement of Operational Planning Activities of Instrument-making Enterprise on the Basis of the Mathematical Interpretation of its Dynamics

Despite the fact that the methodology of operational
planning of industrial activities is a widely known and proven, there
remains the problem of choosing the optimal length of the planning
period, taking into account the system of factors affecting the activity
of the enterprise. In article the author’s approach to the determination
of the planning period, based on the mathematical interpretation of
the dynamics of production and economic activity of the enterprise.
Theoretical analysis. In control theory (technical devices and systems)
distinguish types of movement: self (movement in the absence
of external influences arising from the internal properties of devices
and systems and perturbations of the initial conditions) and involuntary
(movement caused by external influences). Methods. In article the
objective of the study, mainly native speakers of instrument-making
enterprice based on real data of its work. Discusses two quarters:
4th quarter of 2013 and 1st quarter of 2014. Taken into account that
changes in plans are staggered in the beginning of each month for
the previous results, and the end of the month they and other conditions
of work of instrument-making enterprice does not change. Thus
entered speed feedback in the control of production and thus speed
effects on production are payable only at the beginning of the month
and then does not change until the beginning of the next. Results. In
summary, a correlation between almost produced products and their
sense of their difference –Δx) characterized non-harmonic oscillatory
process irregularity Δx of the work. Experimental graphics Δx
described mathematically, are computer simulations showing close
values of the estimated and actual processes on the uneven production
Δx. Conclusions. Theproposed approach has allowed us to
construct a simple algorithm for predicting the release of products,
as well as a simple control algorithm of instrument-making enterprice
work, allowing to reduce 2–3 times the oscillatory component of the
non-uniformity of the manufactured products