A REFINED MATHEMATICAL MODEL FOR CALCULATING THE STRUCTURAL STABILITY OF THE COMMUNICATION DIRECTION OF A TELECOMMUNICATION NETWORK

2021 ◽  
Author(s):  
С.А. ЯСИНСКИЙ ◽  
А.Н. ЗЮЗИН
Keyword(s):  
Mathematical Model ◽  
Information Transmission ◽  
Structural Stability ◽  
Telecommunication Network ◽  
Reliability Function

Представлена уточненная математическая модель для оценки структурной устойчивости направления связи телекоммуникационной сети по интегральному коэффициенту связности, учитывающему независимые и зависимые пути передачи информации, а также дан подход к моделированию функции надежности для неразделимых структур. The article presents a refined mathematical model for assessing the structural stability of the communication direction of a telecommunication network based on the integral connectivity coefficient, which takes into account independent and dependent information transmission paths. An approach to modeling the reliability function for inseparable structures is given.

Analysis of Atmosphere Channel for UV Communication in Power Grid

2013 ◽  
Vol 765-767 ◽  
pp. 2629-2632
Author(s):  
Qing Qi Zhao ◽  
Fan Bo Meng ◽  
Hong Hao Zhao ◽  
Wei Zhe Ma
Keyword(s):  
Mathematical Model ◽  
Information Transmission ◽  
Power Grid ◽  
Atmospheric Absorption ◽  
Atmospheric Scattering ◽  
Horizontal Path ◽  
Atmospheric Transmittance

This paper theoretically analyzes the atmospheric influences on Ultraviolet (UV) communication, in which the main considerations include atmospheric absorption and atmospheric scattering. Through the establishment of mathematical model, this paper describes the atmospheric transmittance with different wavelengths. Finally, the atmospheric transmittance is simulated under different visibilities, rainfall and paths. The results show that the atmospheric transmittance will be different with different wavelengths, visibilities and rainfall. The atmospheric transmittance in horizontal path is larger than that in the vertical path. This research provides a theoretical guidance on the using of UV communication for the information transmission in power grid.

Block Erection Sequencing in Shipbuilding With General Lifting and Joining Times

2013 ◽  
Vol 29 (02) ◽  
pp. 49-56
Author(s):  
Henri Tokola ◽  
Esko Niemi ◽  
Heikki Remes
Keyword(s):  
Mathematical Model ◽  
Structural Stability ◽  
Special Cases ◽  
Insight Into

This article studies the scheduling of block erection in shipbuilding. A mathematical model is formulated to minimize the make span, i.e., the time between the start and finish of the erection schedule, when there are different lifting and block joining times. Structural stability and the no-skipped-blocks property are taken as constraints. The model is used to study the erection in three special cases. First, the case with a short lifting time is analyzed. Second, a solution is constructed for the case in which joining times are short and, third, the case in which the lifting and joining times are the same is analyzed. The article shows how these three cases can be solved efficiently, and, in addition, it gives insight into the erection scheduling such as the effects of the number of blocks in the horizontal and vertical directions on different joining times.

METHODOLOGY FOR SUBSTANTIATING THE RATIONAL ROUTE OF INFORMATION TRANSMISSION IN THE INFORMATION AND TELECOMMUNICATION NETWORK IN THE CONDITIONS OF THE COMPLEX IMPACT OF THE ENEMY

2020 ◽  
Author(s):  
С.А. БАГРЕЦОВ ◽  
Н.Б. АЧКАСОВ ◽  
О.С. ЛАУТА ◽  
Д.Ю. ВАСЮКОВ
Keyword(s):  
Information Transmission ◽  
Shortest Path ◽  
Transfer Process ◽  
Data Exchange ◽  
Data Transfer ◽  
Telecommunication Network ◽  
Quality Of Information ◽  
Transfer Path ◽  
The Stability

Представлены подходы к повышению устойчивости функционирования информационно-телекоммуникационной сети, которые способствуют оптимизации процесса передачи данных среди обменников информации за счет повышения быстродействия и нахождения оптимального пути передачи данных. Отмечается, что сокращение времени обмена информацией между абонентами будет происходит по наиболее короткому пути и это должно существенно повлиять на качество информации,ее важность и необходимость при ведении боевых действий в условиях радиоэлектронного противодействия противника. Various approaches to improving the stability of telecommunications networks, which lead to optimizing the data transfer process by increasing the speed and finding the most optimal data transfer path, are presented. It is noted that the reduction of the data exchange time between subscribers will occur along the shortest path, which will significantly affect the quality of information, its importance, and the need for conducting combat operations in the condition of electronic counteraction of the enemy.

scholarly journals Reliability, Availability and Cost Analysis of Large Multi-State Systems with Ageing Components

2008 ◽  
Vol 4 (1) ◽  
pp. 117-131 ◽  
Author(s):  
Krzysztof Kołowrocki ◽  
Joanna Soszyńska
Keyword(s):  
Cost Analysis ◽  
System Reliability ◽  
Network Reliability ◽  
Telecommunication Network ◽  
Reliability Function ◽  
Mean Value ◽  
Series System ◽  
The Cost ◽  
Limit Reliability Function

Reliability, Availability and Cost Analysis of Large Multi-State Systems with Ageing ComponentsBasic notions of the system multi-state reliability analysis are introduced. The multi-state series system with degrading components is defined and its exact reliability function is determined. The limit reliability function for large multi-state systems is introduced. An auxiliary theorem on limit reliability function of a large multi-state series system, which is necessary for its approximate reliability evaluation, is presented. On the basis of this auxiliary theorem some corollaries are formulated and proved and then applied to approximate reliability and availability determination of a large multi-state series system. Evaluations are given of a multi-state system reliability function, its mean lifetimes in the state subsets and their standard deviations, mean value and variance of the lifetime up to and the number of exceeding the system reliability critical state and its availability coefficient. The cost analysis of a multi-state series system is performed as well. The results are applied to a large telecommunication network reliability, availability and cost analysis.

scholarly journals DEVELOPMENT OF A MATHEMATICAL MODEL OF THE FUNCTIONING OF ADAPTIVE ROUTING PROTOCOLS IN TELECOMMUNICATION NETWORKS WITH THE POSSIBILITY OF SELF-ORGANIZATION

ScienceRise ◽  
2020 ◽  
Vol 4 ◽  
pp. 33-39
Author(s):  
Oleksii Nalapko
Keyword(s):  
Mathematical Model ◽  
Information Transmission ◽  
Routing Protocols ◽  
Information Transfer ◽  
Adaptive Routing ◽  
Cyber Attacks ◽  
Telecommunication Networks ◽  
Self Organization ◽  
Transmission Route ◽  
Destabilizing Factors

The necessity of developing a mathematical model for the functioning of adaptive routing protocols in telecommunication networks with the ability to self-organize has been substantiated. The results of the study of the information transmission route choice in communication networks with the possibility of self-organization under the influence of deliberate interference and cyber-attacks are presented. New analytical dependencies have been obtained that allow calculating the influence of destabilizing factors on the efficiency of determining the route in the network. Object of research: development of a mathematical model of the functioning of adaptive routing protocols in telecommunication networks with the ability to self-organize. Investigated problem: taking into account additional destabilizing factors when choosing the information transmission route. Main scientific results: when forming a route in a special-purpose network with the possibility of self-organization, the following are taken into account: battery charge, information transfer rate, the presence of cyber-attacks, the presence of deliberate interference, the reliability of the route and the time of packet delivery to the addressee. It has been established that the use of all parameters in the system allows to increase both the total operating time of a special-purpose network with the ability to self-organize as a whole, and an individual node. It is shown that the presence of a DoS attack in the network is identified by increasing the delay time for information transmission between network nodes. Review of the practical use of research results: automated systems for various purposes. Innovative technologies product: a technology for choosing the information transfer route, which can increase the efficiency of choosing the information transfer route, taking into account additional destabilizing factors. Review of an innovative technological product: automated control systems, network controllers when choosing a route for information transmission.

Weak structural stability of one mathematical model of economic system and the multiplicative effects of parametric control

2010 ◽  
Vol 71 (12) ◽  
pp. 2605-2612 ◽  
Author(s):  
A. A. Ashimov ◽  
Yu. V. Borovskii ◽  
D. A. Novikov ◽  
R. M. Nizhegorodtsev ◽  
B. T. Sultanov
Keyword(s):  
Mathematical Model ◽  
Economic System ◽  
Structural Stability ◽  
Parametric Control ◽  
Multiplicative Effects
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