[SciPy-User] Mean arrivals per time unit -> Time between consecutive arrivals

josef.pktd@gmai... josef.pktd@gmai...
Wed Nov 25 02:00:13 CST 2009


On Wed, Nov 25, 2009 at 2:42 AM,  <josef.pktd@gmail.com> wrote:
> On Wed, Nov 25, 2009 at 2:05 AM, Ram Rachum <cool-rr@cool-rr.com> wrote:
>> Hello,
>>
>> I've just started using scipy/numpy for some queue theory. I have a queue for
>> which the arrival rate is a Poisson distribution. I also have the mean number of
>> arrivals per time unit.
>>
>> I looked around SciPy and I saw I can use scipy.stats.poisson. I was happy that
>> it could make a random variable for number of arrivals per time unit. But I want
>> the time between consecutive arrivals, as a random variable.
>>
>> Does anyone know how I can get that?
>
> I don't remember the relationship for the different random variables
> related to arrival
> processes (without looking it up again), but there is a related example in
>
> https://matplotlib.svn.sourceforge.net/svnroot/matplotlib/trunk/py4science/examples/stats_distributions.py

http://en.wikipedia.org/wiki/Queueing_theory#Role_of_Poisson_process.2C_exponential_distributions

mentions the exponential distribution for the time between arrivals

Josef

>
> Josef
>
>>
>> Thanks,
>> Ram.
>>
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>


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