Talco Bell

Q2) How long should it take to be served by the restaurant?

Ans> Given:-

* A customer arrives every 40 seconds

* The customer service champion can handle 120 customers per hour

* There are two Food Champions, each capable of handling 100 orders per hour

The queuing model below shows the calculations to answer the question.

ʎ= Arrival Rate

µ= Service Rate

µS= Service Champions= 120 customers per hour

µF= Food Champions= (100*2)= 200 customers per hour

ʎ=3600 second per hour 40 seconds=90 customers per hour

Average total time spent by customer in system

Calculation using model 1:

Ls= Average number in system

Ws=Average total time in system (including time to be served)

LsService Champ=ʎ(µ-ʎ)=90(120-90)=9030=3 customers

WsService Champ= Lsʎ=390= .033 hour or 120seconds

LsFood Champ=ʎ(µ-ʎ)=90(200-90)=90110= .82 customers

WsFood Champ= Lsʎ=.8290= .009 hour or 32.72 seconds

LsTotal=LsFC+LcSC=3+.82=3.82 customers

Using Model 3 to calculate total time:

Ws=Lsʎ=3.8290=.042 hours=152.8 seconds

After looking at the calculations, it shows that it should take 152.8 seconds to be served by the restaurant.

Q3) On average, how busy are the Customer Service Champions and the two Food Champions?

Ans> ρ=Ratio of total arrival rate to service rate for a single server

ρ=ʎμ

ρService=90120=75%

ρFood=90200=45%

Looking at the percentages above, it can be seen that the Customer Service Champion is busier than the Food Champions. This is due to the fact that there are two Food Champions and only one Customer Service Champion.

Q3) How many cars do you expect to have in the drive-thru line?

Ans> Lq=Average number waiting in line

LqService=ʎ2μμ-ʎ= 902120120-90=81003600=2.25 customers waiting for serive

LqFood=ʎ2μμ-ʎ= 902200200-90=810022000=.37 customers waiting for food

Ls Total=Lq Service+Lq Food=2.25+.37=2.62 expected customer in line

Q5) If the restaurant runs a sale and the...