Mathematical model of queuing system management with dynamic application service discipline
Abstract
Mathematical model of queuing system management with dynamic application service discipline
Incoming article date: 07.04.2022In the work, using the queuing theory apparatus, a mathematical model for managing the reliability of software and special-purpose computer networks used in the system of ensuring the integrated security of institutions and UIS bodies is constructed. Computer networks and software can be considered as a managed queuing system in which management is carried out by managing the discipline of servicing applications and its structure, changing the intensity of queue servicing, introducing control actions on the flow of applications or in another way. The paper for the first time proposes an approach according to which the optimization problem of the controlled queuing system under consideration with a dynamic discipline of application service is formulated as an optimal control problem with phase constraints and can be solved using numerical algorithms.
Keywords: special purpose software, controlled queuing system, Euler scheme, optimal control, rapid automatic differentiation method