[DeTomaso] NPC: Help on Queueing theory wanted
Boyd Casey
boyd411 at gmail.com
Tue May 19 18:42:50 EDT 2015
Charles,
Another factor enters the picture when businesses use the same registers
for returns and purchases. Throwing returns into the mix slows down the
whole process. It's just my opinion but I believe that businesses do this
to try to discourage returns. Sorry this doesn't answer your question or
aid you in your research.
Boyd
On Tue, May 19, 2015 at 3:42 PM, Larry - Ohio Time <Larry at ohiotimecorp.com>
wrote:
> <<relationship between Capacity Utilization and Waiting Time>>
>
> My capacity is about 4 beers, with a wait time of 23 minutes before having
> to pee.
>
> I'm sure this helps you Charile...
>
>
> Larry (all I learned in school) - Cleveland
>
>
> -----Original Message-----
> From: DeTomaso [mailto:detomaso-bounces at poca.com] On Behalf Of Charles
> McCall
> Sent: Tuesday, May 19, 2015 1:13 PM
> To: detomaso at poca.com
> Subject: [DeTomaso] NPC: Help on Queueing theory wanted
>
> Hi All
>
>
>
> Perhaps the record for the least Pantera content ever? College was a
> somewhat long time ago, and I took a couple of Statistics courses. one of
> them had a heavy content of queueing theory, which I particularly liked.
> Finding mathematical models to try to represent daily occurrences such as
> lines at the grocery store or traffic jams was pretty neat I thought.
>
>
>
> I've long since forgotten all the formulas, but I remember a concept that I
> am trying to find information but without success. I've googled a moderate
> amount and apparently can't come up with the correct description to find
> what I need.
>
>
>
> I need a graph that shows the relationship between Capacity Utilization and
> Waiting Time.
>
>
>
> I remember the concept that, oversimplifying a bunch, average waiting time
> remains basically statistically zero until the utilization of the resource
> reaches a certain threshold, when it starts to rise, and then above another
> point it increases exponentially. I'm looking for that graph. Looking at a
> practical example, we have three cash registers. They are idle 80% of the
> time, and customers arrive at random intervals. The probability of having
> more than 3 customers arrive at the same time is pretty remote, so the
> average wait is zero. But if each cashier is occupied 50% of the time, then
> the probability of finding an idle cashier with random arrivals is less,
> and
> the average wait time begins to increase. At a certain saturation, the
> probability of finding an idle cashier is basically zero, and if cashiers
> are 100% saturated, then the length of the wait depends on cycle time and
> arrival time, but it will be substantial.
>
>
>
> Can anyone point me to a graph, with references, showing the average wait
> time compared to % utilization of the resource? Thanks all!
>
>
>
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>
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-------------- next part --------------
Charles,
Another factor enters the picture when businesses use the same
registers for returns and purchases. Throwing returns into the mix
slows down the whole process. It's just my opinion but I believe that
businesses do this to try to discourage returns. Sorry this doesn't
answer your question or aid A you in your research.
Boyd
On Tue, May 19, 2015 at 3:42 PM, Larry - Ohio Time
<[1]Larry at ohiotimecorp.com> wrote:
<<relationship between Capacity Utilization and Waiting Time>>
My capacity is about 4 beers, with a wait time of 23 minutes before
having
to pee.
I'm sure this helps you Charile...
Larry (all I learned in school) - Cleveland
-----Original Message-----
From: DeTomaso [mailto:[2]detomaso-bounces at poca.com] On Behalf Of
Charles
McCall
Sent: Tuesday, May 19, 2015 1:13 PM
To: [3]detomaso at poca.com
Subject: [DeTomaso] NPC: Help on Queueing theory wanted
Hi All
Perhaps the record for the least Pantera content ever? College was a
somewhat long time ago, and I took a couple of Statistics courses.
one of
them had a heavy content of queueing theory, which I particularly
liked.
Finding mathematical models to try to represent daily occurrences such
as
lines at the grocery store or traffic jams was pretty neat I thought.
I've long since forgotten all the formulas, but I remember a concept
that I
am trying to find information but without success. I've googled a
moderate
amount and apparently can't come up with the correct description to
find
what I need.
I need a graph that shows the relationship between Capacity Utilization
and
Waiting Time.
I remember the concept that, oversimplifying a bunch, average waiting
time
remains basically statistically zero until the utilization of the
resource
reaches a certain threshold, when it starts to rise, and then above
another
point it increases exponentially. I'm looking for that graph. Looking
at a
practical example, we have three cash registers. They are idle 80% of
the
time, and customers arrive at random intervals. The probability of
having
more than 3 customers arrive at the same time is pretty remote, so the
average wait is zero. But if each cashier is occupied 50% of the time,
then
the probability of finding an idle cashier with random arrivals is
less, and
the average wait time begins to increase. At a certain saturation, the
probability of finding an idle cashier is basically zero, and if
cashiers
are 100% saturated, then the length of the wait depends on cycle time
and
arrival time, but it will be substantial.
Can anyone point me to a graph, with references, showing the average
wait
time compared to % utilization of the resource? Thanks all!
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