[ot] [wrong] DistractionBot Goes To Work

Karl gmkarl at gmail.com
Sat Jun 5 11:15:49 PDT 2021


On Sat, Jun 5, 2021, 2:07 PM Karl <gmkarl at gmail.com> wrote:

>
>
> On Sat, Jun 5, 2021, 2:05 PM Karl <gmkarl at gmail.com> wrote:
>
>>
>>
>> On Sat, Jun 5, 2021, 2:00 PM Karl <gmkarl at gmail.com> wrote:
>>
>>>
>>> On Sat, Jun 5, 2021, 1:58 PM Karl <gmkarl at gmail.com> wrote:
>>>
>>>> X(t) ~= (number of people who have arrived between 0 and t) - (number
>>>>> of people who have been fully served between 0 and t)
>>>>>
>>>>
>>>> Both of these values are calculable.
>>>>
>>>
>>> S_n is the number of minutes that pass after person (n-1) arrives,
>>> before person n arrives.
>>>
>>
>> We can likely write both of these in abstract parts, as X(t) is written
>> above.
>>
>
> Number of people who have arrived = sum of 1 for each person whose arrival
> time is less than or equal to t
>
> Number of people who have been fully served = sum of 1 for each person
> whose serving conditions have been met
>

Serving conditions.  The time at which a person is completely served is the
maximum of one minute after they arrive, and two minutes after the previous
person arrived.

>
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