Exponential Distribution

 

Syntax: Exp(mean, stream)

 

The exponential distribution (continuous) is commonly used to model interarrival times of customers to some system when the arrival rate is approximately constant over the time period of interest. It is also sometimes used to model the time to failure of a piece of equipment. The mean of an exponential distribution is a scale parameter and must be greater than 0.0. An exponential distribution with mean = m is a gamma distribution with mean = m and shape = 1. An exponential distribution with mean = m is a Weibull distribution with shape = 1 and scale = m. If interarrival times of customers have an exponential distribution with mean = m, then the number of arrivals in any time interval of length t has a Poisson distribution (discrete) with mean = t/m.

 

Stream allows you to specify the random number stream for the distribution. There are 215 streams. Stream 1 is the default. See Seeds or Appendix D of the User's Guide for more information.