[DeTomaso] NPC: Help on Queueing theory wanted

Tue May 19 23:22:46 EDT 2015

I'm assuming the returns comment is generic and not related to Larry's prior capacity comment. I know we've all been in bars and commented that the beer takes like piss... but that puts a whole new spin on it.

Date: Tue, 19 May 2015 18:42:50 -0400
From: boyd411 at gmail.com
To: Larry at ohiotimecorp.com
Subject: Re: [DeTomaso] NPC: Help on Queueing theory wanted
CC: detomaso at poca.com

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 --------------
   I'm assuming the returns comment is generic and not related to Larry's
   prior capacity comment. I know we've all been in bars and commented
   that the beer takes like piss... but that puts a whole new spin on it.
   Date: Tue, 19 May 2015 18:42:50 -0400
   From: boyd411 at gmail.com
   To: Larry at ohiotimecorp.com
   Subject: Re: [DeTomaso] NPC: Help on Queueing theory wanted
   CC: detomaso at poca.com
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!
>
>
>
> _______________________________________________
>
> Detomaso Forum Managed by POCA
> Posted emails must not exceed 1.5 Megabytes
> DeTomaso mailing list
> DeTomaso at poca.com
> [1]http://poca.com/mailman/listinfo/detomaso_poca.com
>
> To manage your subscription (change email address, unsubscribe, etc.) use
> the links above.
>

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