Dear Jakob,

Is any way that I can define a flow that follows the Poisson distribution
and at the same time control its traffic volume in each hour? Because I
want to investigate the impacts of different demand ratios on intersection
approaches.

Thanks,
Yajun

On Mon, 7 Mar 2022 at 19:31, Jakob Erdmann <[email protected]> wrote:

> When using a a flow with 'probability', insertion follows a binomial
> distribution. Your example should be a good fit to a poisson distribution.
> See here, for rules of thumb on approximation:
> https://en.wikipedia.org/wiki/Binomial_distribution#Poisson_approximation
>
> Note that you cannot not set 'end' and 'number' at the same time when
> using 'probability'. Either you set a fixed number of random trials ('end')
> or you let the flow run until it has emitted a fixed number of vehicles
> ('number').
>
> Am Mo., 7. März 2022 um 16:35 Uhr schrieb Yajun She <[email protected]>:
>
>> Dear all,
>>
>> How to model a flow that a vehicle will be emitted following a Poisson
>> distribution, and at the same time with a given traffic volume?
>>
>> For example, I tried to use attributes of "probability" and "number":
>> <routes>
>>   <vType id="normal_car" vClass="passenger" departspeed="13.89"
>> maxSpeed="13.89" />
>>
>>   <flow id="upflow" type="normal_car" begin="0" end="5000"
>> probability="0.01" number="1200" from="downin" to="upout" departPos="last"/>
>> </routes>
>>
>> I am not sure the range of probability that will lead the vehicles to
>> follow a Poisson distribution?
>>
>> Thanks,
>> Yajun
>>
>>
>>
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