Question

- Arnold’s Muffler Shop has a top mechanic who can install
mufflers at an average rate of 3/hour. Customers needing service
arrive at the shop on the average of 2/hour. Assuming the standard
assumptions of queueing models exist, find the following:
- The utilization of the mechanic
- The probability that there are 0 customers in the system, 2 customers in the system.
- The average number of customers in line
- The average time a customer waits before getting a new muffler
- The average time a customer spends in the service system

Answer #1

Sarah's Muffler Shop has one standard muffler that fits a large
variety of cars. Sarah wishes to establish a reorder point system
to manage inventory of this standard muffler.
Annual demand
4,500
mufflers
Ordering cost
$65
per order
Standard deviation of daily demand
6
mufflers per
working day
Service
probability
90
%
Item
cost
$35
per muffler
Lead
time
3
working
days
Annual holding cost
20
% of item
value
Working days
300
per year
Use the above information to...

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b. The...

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Arrival Rate = 1/50 = 0.02 calls hour.
Service Rate= 1 hour (travel time) + 1.5 hour (repair
time) =2.5 hours
With m = 1/ 2.5 = 0.4 hours per customers
** PLEASE SHOW HOW TO DO EQUATION **
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Please do it by type not pic.
1.Customers arrive at an average rate of 10 per hour and an
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b.How many people are in line?
c.How many people are in the system?
d.What is the average amount of time a person spends in
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Benny the Barber gives a haircut in an average of 8
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HIs market survey data indicates that customers arrive at a rate of
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Benny knows that customers exhibit a Poisson
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(Round intermediate calculations to 3 decimals & final
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1.) A system has 5 servers. Customers arrive at a rate of 6 per
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Coffee Talk is a local café on the waterfront. There is counter
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a) The average utilization of the counter clerk
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c) The average time a customer spends in...

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