shrek

06-13-2008, 12:06 AM

Isn't is unrealistic to use a poission distribution when modeling calls to a switchboard within, say, an 1 hour time interval?

One of the assumptions of the poisson model is that the process must be stationary. The probability of an occurrence must be the same over the entire time period.

This assumption is clearly violated in many situations. For example, a 24 hour customer service switchboard serving a particular time zone will clearly have more calls between 7-8pm, when most people are home from work, than say 4-5am, when most people are sleeping.

Agree?

One of the assumptions of the poisson model is that the process must be stationary. The probability of an occurrence must be the same over the entire time period.

This assumption is clearly violated in many situations. For example, a 24 hour customer service switchboard serving a particular time zone will clearly have more calls between 7-8pm, when most people are home from work, than say 4-5am, when most people are sleeping.

Agree?