Mathematical model of mobile network reliability control based on nonlinear proportional differential

Author(s):  
Li Shao ◽  
Yali Zhang
Author(s):  
Valery Hladkykh ◽  
Oleg Toroshanko

Ad Hoc sensor network with mobile network nodes is considered. The basic parameters of the bandwidth and quality of the data exchange channel constructed on the sensor network are analyzed. Statistical analysis of network service quality uses a parameter based on Mean Opinion Score (MOS). This parameter takes into account characteristics such as jitter, delay time, and packet loss rate, and allows you to quantify call quality for calls in the range of 1.0 to 5.0. At the stage of designing the sensor network and in the process of its development, the task of choosing a routing algorithm is very important. To solve the problem of optimal routing in the sensor network a partial mathematical model of the network, consisting of N switching nodes and M lines of wireless communication, has been developed. The average time for messages to remain in the line between two network nodes is determined. To improve methods and algorithms for routing in sensory networks, a generalized mathematical model of the routing process in complex networks and methodology has been developed to select the best route or a set of best routes by a set of criteria.For the most complete comparative evaluation of the effectiveness of a route, it is advisable to consider the route metric ‒ the generalized distance selected for the selected service class and the administrative distance ‒ the route parameter by which the degree of confidence in information received from neighboring devices is determined. It is shown that for optimal organization of data flows in a heterogeneous network it is advisable to use routing algorithms with many quality criteria. To do this, you must conduct an ongoing analysis of the characteristics of the network segments and automatically modify the routing tables. The basis of quality functionality is the route metric. In order to increase the reliability of the data on the state of the route, a quantitative (functional) measure of the administrative distance was introduced into the mathematical model. As a tool for evaluating and managing criteria by their relative importance, it is proposed to use the method of analysis of the Saati hierarchy.


2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.


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