An energy and time prediction model for remanufacturing process using graphical evaluation and review technique (GERT) with multivariant uncertainties

Zhao, Jiali; Xue, Zheng; Li, Tao; Ping, Jinfeng; Peng, Shitong

doi:10.1007/s11356-021-13438-z

Cited by 8 publications

(8 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the Mason equation for closed graphs [4][5][6], we shall define the equivalent function h(s) of the stochastic network fragment (Figure 3) which corresponds to the service process:…”

Section: The First Stagementioning

confidence: 99%

“…It is known [4,5,26] that knowledge of the equivalent function ( 5) allows one to determine the initial moments of the random delivery time by the means of numerical methods, Therefore, we will solve the problem in two stages: at the first stage we will define the equivalent function of the part of the stochastic network which corresponds to the service process (data packet transmission) h(s) and at the second stage-ω(s).…”

Section: The First Stagementioning

confidence: 99%

“…It is known [4,5,26] that knowledge of the equivalent function (5) allows one to determine the initial moments of the random delivery time by the means of numerical methods,…”

Section: The First Stagementioning

confidence: 99%

“…It should be noted that according to [4,5], the approximation error of function ( 12) by function H γ (t) does not exceed 3% and it is quite acceptable for performing the engineering calculations. Therefore, in the course of further discussions, we shall use expression ( 9), especially as it allows one to remove the restriction on the type of distribution of the initial random values.…”

Section: The First Stagementioning

confidence: 99%

“…By means of the mathematical tools of graphical evaluation and review technique (GERT) networks [4][5][6], the paper proposes a novel method, the essence of which is to represent the process of the functioning of the data transmission network, when malefactors realize a cyberattack, as a stochastic network, to specify the type of individual distributions, to determine an equivalent function, with the initial and central moments of distributions of the original random values calculated by means of numerical methods and specification of the final distribution function of the data packets' delivery time.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Evaluating the Functioning Quality of Data Transmission Networks in the Context of Cyberattacks

et al. 2021

View full text Add to dashboard Cite

Cyberattacks against the elements of technological data transmission networks represent a rather significant threat of disrupting the management of regional electric power complexes. Therefore, evaluating the functioning quality of data transmission networks in the context of cyberattacks is an important task that helps to make the right decisions on the telecommunication support of electric power systems. The known models and methods for solving this problem have limited application areas determined by the admissible packet distribution laws. The paper proposes a new method for evaluating the quality of the functioning of data transmission networks, based on modeling the process of functioning of data transmission networks in the form of a stochastic network. The proposed method removes restrictions on the form of the initial distributions and makes the assumptions about the exponential distribution of the expected time and packet servicing in modern technological data transmission networks unnecessary. The method gives the possibility to evaluate the quality of the network functioning in the context of cyberattacks for stationary Poisson transmission and self-similar traffic, represented by Pareto and Weibul flows models. The obtained evaluation results are in good agreement with the data represented in previously published papers.

show abstract

“…Using the Mason equation for closed graphs [4][5][6], we shall define the equivalent function h(s) of the stochastic network fragment (Figure 3) which corresponds to the service process:…”

Section: The First Stagementioning

confidence: 99%

Section: The First Stagementioning

confidence: 99%

“…It is known [4,5,26] that knowledge of the equivalent function (5) allows one to determine the initial moments of the random delivery time by the means of numerical methods,…”

Section: The First Stagementioning

confidence: 99%

Section: The First Stagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations