Calculation of the parameters of the composite conveyor line with a constant speed of movement of subjects of labour

Abstract

Purpose. The development of analytical methods for calculating the parameters of a composite conveyor line using the models containing partial differential equations. Methodology. To calculate the parameters of the conveyor line with a constant speed of movement of subjects of labour, the apparatus of mathematical physics is used. findings. The solution is given in an analytic form that specifies the state parameters of the production line for a given technology position as a function of time. originality. The scientific novelty of the results is the improvement of PDE-models of production systems of a conveyor type. The method for calculating the parameters of conveyor production, consisting of two connecting conveyor lines with a constant speed of movement of subjects of labour is offered. The considered method for calculation of conveyor production can be extended in case of a system with an arbitrary number of connecting conveyor lines. Practical value. The practical significance lies in the fact that the proposed method for calculating the parameters of conveyor production can be used to design control systems for conveyor production with an arbitrary number of conveyor lines. An essential advantage of this method is that each conveyor line is described by a single partial differential equation, the solution to which is obtained analytically. Such a representation makes it possible to use solutions for predicting the state parameters of a production line.

Neural model of conveyor type transport system

“…In this case, a separate model is built for each separate section. Combining sections into a common system leads to a system of equations [29,30]. In the event that a separate section does not include an accumulating bunker, the number of equations of the system is equal to the number of sections.…”

“…In the event that a separate section does not include an accumulating bunker, the number of equations of the system is equal to the number of sections. In [29], a model of a conveyor system consisting of 2 sections is presented. In [30], the principles of constructing a model of the main conveyor are considered.…”

Control of a Conveyor Based on a Neural Network

“…This class of models is of particular importance for the design of control systems for a transport conveyor consisting of hundreds of sections. In the absence of experimental data for training a neural network in modeling a transport system, an analytical model can be used [16,32,33]. In this regard, in this work, we will pay attention to the construction of an optimal control system for the flow parameters of the assembly line using the neural network.…”

Predicting the Parameters of the Output Flow of Conveyor Systems

“…However, when designing control systems for a multisection transport conveyor, their use is difficult due to the high cost of computing resources. The development of an analytical model (PiKh-model) of the convey-or section [19] made it possible to design control systems for a multisection conveyor [20]. However, if the number of sections reaches several tens, then the use of an analytical model also leads to computational difficulties [8].…”