Characteristics of sign and rank algorithms of detection with fixed sample sizes in noise and chaotic pulse interference flow with arbitrary distribution laws

1997 ◽  
Vol 40 (11) ◽  
pp. 967-976
Author(s):  
M. N. Biryukov
Keyword(s):  
Arbitrary Distribution ◽  
Sample Sizes ◽  
Pulse Interference ◽  
Fixed Sample ◽  
Distribution Laws

scholarly journals SELECTION OF THE OPTIMUM ROUTE IN AN EXTENDED TRANSPORTATION NETWORK UNDER UNCERTAINTY

2021 ◽  
Vol 5 (1) ◽  
pp. 62-68
Author(s):  
Lev Raskin ◽  
Oksana Sira ◽  
Yurii Parfeniuk
Keyword(s):  
Approximate Solution ◽  
Initial Data ◽  
Transportation Network ◽  
Random Variables ◽  
Computational Procedure ◽  
Theoretical Description ◽  
Exact Method ◽  
Arbitrary Distribution ◽  
Random Initial Data ◽  
Distribution Laws

Relevance. For a given values set of extensive transport network sections lengths an exact method has been developed for finding optimal routes. The method provides an approximate solution when the initial data - are random variables with known distribution laws, as well as if these data are not clearly specified. Fora special case with a normal distribution of the numerical characteristics of the network, solution is brought to the final results. Method. An exact method of deterministic routing is proposed, which gives an approximate solution in case of random initial data. The method is extended to the case when the initial data are described in theory of fuzzy sets terms. The problem of stability assessing of solutions to problems of control the theory under conditions of uncertainty of initial data is considered. Results. A method of optimal routes finding is proposed when the initial data are deterministic or random variables with known distribution densities. A particular case of a probabilistic - theoretical description of the initial data is considered when can be obtained a simple solution of problem. Proposed method for obtaining an approximate solution in the general case for arbitrary distribution densities of random initial data. The situation is common when the initial data are not clearly defined. A simple computational procedure proposed for obtaining a solution. A method for stability assessing of solutions to control problems adopted under conditions of uncertainty in the initial data, is considered.

scholarly journals Mathematical model of delay based on a system with gamma distribution

2021 ◽  
Vol 24 (2) ◽  
pp. 62-67
Author(s):  
Veniamin N. Tarasov
Keyword(s):  
Gamma Distribution ◽  
Spectral Decomposition ◽  
Queuing Theory ◽  
Queuing System ◽  
Arbitrary Distribution ◽  
Distribution Law ◽  
Average Delay ◽  
Switched Networks ◽  
Packet Delays ◽  
Distribution Laws

This article is devoted to the analysis of a queuing system formed by two flows with density functions of the gamma distribution law in order to derive a solution for the average delay of requests in the queue, which is the main characteristic for any queuing system. According to this characteristic, for example, packet delays in packet-switched networks are estimated when they are modeled using the queuing system. In queuing theory, studies of G/G/1 systems are especially relevant because there is no solution in the final form for the general case. Therefore, in the study of such systems, various particular distribution laws are used as an arbitrary distribution law for G. In the study of G/G/1 systems, an important role is played by the method of spectral decomposition of the solution of the Lindley integral equation, and most of the results in the theory of queuing were obtained using this method. The article presents the derivation of the calculation formula for the average delay of requests in the queue in the system under consideration, also based on the spectral decomposition method.

Comparison of experimental assessment methods to estimate the strength of gear teeth

1999 ◽  
Vol 213 (3) ◽  
pp. 291-301
Author(s):  
A Ahmad-Shariff ◽  
R Ashby ◽  
A. V. Metcalfe ◽  
D. C. Swailes
Keyword(s):  
Assessment Methods ◽  
Logit Analysis ◽  
Sample Sizes ◽  
Experimental Assessment ◽  
British Standard ◽  
Gear Teeth ◽  
Fixed Sample ◽  
Recommendations For Practice ◽  
Experimental Strategies

Regression type methods for analysing proportions, known as probit and logit analyses, are compared with the British Standard BS 3518 (part 5) recommendations for analysis of staircase designs. All these methods are found to give similar results. Different experimental strategies, involving fixed sample sizes for load levels chosen in advance, are compared with staircase designs. Recommendations for practice are made. Finally, the versatility of the logit analysis for investigating the effects of additional variables, such as additional treatments during manufacture, is demonstrated through a case study.

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