Dear ED community,
I've got a problem with the poison distribution. Trucks arrive every 4 hours and it takes 5 hours to unload them. When I enter 'poisson(hr(4))' in the interval arriving time of the source, the system crashes. Can someone help me with this?
Thank you in advance.
Poisson distribution
Re: Poisson distribution
Hello!
First of all, please note that the Poisson distribution returns the (discrete random) number of arrivals during a certain time interval. The NegExp distribution returns the (continuous random) time between each of these arrivals.
For the relation between Poisson and (Negative) Exponential distribution, please refer to:
Poisson distribution
Exponential distribution
In your situation, you have a Poisson(6) distribution of trucks a day (inter-arrival time of 4 hours results in on average 6 trucks a day). The corresponding inter-arrival time between two trucks follows the NegExp(hr(4)) distribution. So when you want to model the inter-arrival time, you need to use the NegExp distribution. When you want to model the number of trucks during a particular time interval, you can use the Poisson distribution.
I will discuss the issue of the crashing system with the development team.
Good luck!
Kind regards,
Marvin
First of all, please note that the Poisson distribution returns the (discrete random) number of arrivals during a certain time interval. The NegExp distribution returns the (continuous random) time between each of these arrivals.
For the relation between Poisson and (Negative) Exponential distribution, please refer to:
Poisson distribution
Exponential distribution
In your situation, you have a Poisson(6) distribution of trucks a day (inter-arrival time of 4 hours results in on average 6 trucks a day). The corresponding inter-arrival time between two trucks follows the NegExp(hr(4)) distribution. So when you want to model the inter-arrival time, you need to use the NegExp distribution. When you want to model the number of trucks during a particular time interval, you can use the Poisson distribution.
I will discuss the issue of the crashing system with the development team.
Good luck!
Kind regards,
Marvin
Re: Poisson distribution
Thank you for your fast and very usefull respons!