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Existing self-similar models could not be used in conventional queuing models.
"You didn't need to be a rocket scientist or have a sophisticated computer queuing model to see that this could have been a major problem."
Queuing models can be represented using Kendall's notation:
Indeed, the more complicated it looked, the more chockablock with regression analysis, queuing models, binary variables and linear programming, the better.
The Poisson distribution can be visualized as a limiting form of the binomial distribution, and is also used widely in queuing models.
The M/M/1/K queuing model is the most basic and important queuing model for network analysis.
In the 'point-to-point or queuing model', a 'sender' posts messages to a particular queue and a 'receiver' reads messages from the queue.
In Kendall's notation, the M/M/1/K queuing model, where K is the size of the buffer, may be used to analyze the queuing delay in a specific system.
He worked on a team that created both the time-decay queuing model and the fixed-space displacement model to describe how items in short term memory might be lost before they could be encoded in long-term memory.
His work on human dynamics resulted in the discovery of the fat tailed nature of the inter event times in human activity patterns, and proposed the Barabási model that showed that a queuing model was capable of explaining the bursty nature of human activity.