interarrivalVerhalten

InterarrivalVerhalten refers to the temporal spacing between successive events in a process. It is a fundamental concept in queueing theory and stochastic processes, used to describe the randomness of arrivals. Understanding interarrival times is crucial for analyzing system performance, such as waiting times and resource utilization in queues.

Common probability distributions used to model interarrival times include the exponential distribution, which assumes events occur randomly and independently at a constant average rate. In such cases, the time between arrivals follows an exponential distribution, characterized by a single parameter, the rate. Other distributions, like the Poisson process for the number of arrivals in a given time interval, are directly related to the exponential distribution for interarrival times.

However, real-world scenarios often deviate from the ideal exponential model. For instance, traffic arrivals at a website might exhibit burstiness, where periods of high activity are followed by lulls. This leads to the study of more complex interarrivalVerhalten, such as those described by hyperexponential or Erlang distributions, which can capture more varied arrival patterns. Analyzing interarrivalVerhalten allows for more accurate predictions of system behavior and the design of more efficient systems.