ARRIVAL
The statistical pattern of the arrival can be indicated through –
- the probability distribution of the number of arrivals in a specific period of time, or
- the probability distribution of the time between two successive arrival (known as interarrival time).
The number of arrivals is a discrete variable whereas the interarrival times are continuous random and variable.
A remarkable result in this context is that if the number of arrivals follows a 'Poisson Distribution', the corresponding interarrival time follows an ‘Exponential Distribution’. This property is frequently used to derive elegant results on queuing problems.
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