On the Transient Queue with the Dropping Function

Chydziñski, Andrzej

doi:10.3390/e22080825

Cited by 7 publications

(4 citation statements)

References 37 publications

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“…Namely, a Poisson process was assumed in [ 31 ], a modulated Poisson process in [ 32 ] and a general renewal process in [ 33 ]. Finally, probability that in a given time interval the queue length is maintained under some levels was derived in [ 34 ].…”

Section: Related Workmentioning

confidence: 99%

Non-Stationary Characteristics of AQM Based on the Queue Length

Chydziñski

2023

Sensors

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We performed a non-stationary analysis of a class of buffer management schemes for TCP/IP networks, in which the arriving packets were rejected randomly, with probability depending on the queue length. In particular, we derived formulas for the packet waiting time (queuing delay) and the intensity of packet losses as functions of time. These results allow us to observe how the evolution of the waiting time and losses depend on initial conditions (e.g., the full buffer) and system parameters (e.g., dropping probabilities, load, packet size distribution). As side results, the stationary waiting time and packet loss probability were obtained. Numerical examples demonstrate applicability of the theoretical results.

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Section: Related Workmentioning

confidence: 99%

Non-Stationary Characteristics of AQM Based on the Queue Length

Chydziñski

2023

Sensors

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“…The evaluation of the AQM algorithms is typically done with one or more approaches: using numerical analysis 15 , simulation 16 , or experimental evaluation in physical testbed 17 . To model network dynamics, commonly the Fluid-Flow 18 and diffusion approximation frameworks are used 19 .…”

Section: Introductionmentioning

confidence: 99%

Usage of fractional order $${\textrm{PI}}^\lambda {\textrm{D}}^\mu$$ controller as AQM algorithm

Marszałek,

Domański,

Milik

2023

Sci Rep

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The article describes the Usage of fractional order $${\textrm{PI}}^\lambda {\textrm{D}}^\mu$$ PI λ D μ controller as AQM algorithm. The alternative, integer-based calculation process for $${\textrm{PI}}^\lambda {\textrm{D}}^\mu$$ PI λ D μ controller is proposed and tested in numerical analysis, simulation environment, and Linux-based testbed environment with real-life devices. The FPGA design for the calculation process is presented. Experimental evaluation and setup process for AQM in the network is presented.

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“…These control activities are based on the exchange of information between sender and receiver. The article analyses two approaches to increase the efficiency (by minimizing packet loss) in the wide-area network: a mechanism for controlling the speed of sending information at the transmitter level, due to the TCP protocol [ 1 ]; removing data from the network regulated by the AQM mechanism on the IP level [ 2 ]. …”

Section: Introductionmentioning

confidence: 99%

Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP Streams

Marek

Domański

Domańska

et al. 2021

Entropy

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In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been introduced. Furthermore, the impact of the fractional controller PIγ and its parameters on the transport protocols is investigated. The controller has been elaborated in accordance with the control theory. The TCP and UDP flows are transmitted simultaneously and are mutually independent. Only the TCP is controlled by the AQM algorithm. Our diffusion model allows a single TCP or UDP flow to start or end at any time, which distinguishes it from those previously described in the literature.

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On the Transient Queue with the Dropping Function

Cited by 7 publications

References 37 publications

Non-Stationary Characteristics of AQM Based on the Queue Length

Non-Stationary Characteristics of AQM Based on the Queue Length

Usage of fractional order $${\textrm{PI}}^\lambda {\textrm{D}}^\mu$$ controller as AQM algorithm

Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP Streams

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