Modeling of dynamic processes in logistics systems transportation of freights

  • Berezhnaya N. G. Харківський національний технічний університет сільського господарства імені Петра Василенка, м. Харків
Keywords: a mathematical model, dynamic model, logistic system, Queuing system, delay, gain, time constants, transportation of freights

Abstract

Performed structural identification of dynamic models of the logistic freight transport system. The differential equation and its solutions for all components of the supply system, with a precision of coefficients. Analysis of the differential equations has allowed to establish that the processes in the system, primarily affected by the rate of arrival of service requests, and the execution process of applications depends on the inertia of the system measured time constants. It is established, that the absence or presence of fluctuations in the value of the volume of cargo processed in the system depends on the damping rate that is a function of gain and time constants. Performed parametric identification of a dynamic model of logistics system of cargo transportation. The received expression for determination of the coefficients of gain and time constants, included in the differential equation and characterize the dynamics of the transition process. We determine the physical meaning of gain is the "stability margin" of the logistic system to the arrival rate of service requests. The physical meaning of the constant of time is the inertia of the system  in fulfilling applications that takes into account different kind of delay in their implementat ion

Published
2020-02-14
Section
Статті