Question

**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 ****

OEI is satisfied that one service technician can handle the 10 existing customers. Use a waiting line model to determine the following information:

(a) probability that no customers are in the system,

(b) average number of customers in the waiting line,

(c) average number of customers in the system,

(d) average time a customer waits until the service technician arrives, (e) average time a customer waits until the machine is back in operation,

(f) probability that a customer will have to wait more than one hour for the service technician to arrive, and

(g) the total cost per hour for the service operation.

Answer #1

Scenario:
Office Equipment, Inc. (OEI) leases automatic mailing machines
to business customers in Fort Wayne, Indiana. The company built its
success on a reputation of providing timely maintenance and repair
service. Each OEI service contract states that a service technician
will arrive at a customer’s business site within an average of 3
hours from the time that the customer notifies OEI of an equipment
problem.
Currently, OEI has 10 customers with service contracts. One
service technician is responsible for handling...

I need a detailed explanation with a formula
(show work) included on how to solve this
question:
Scenario
Office Equipment, Inc. (OEI) leases automatic mailing machines
to business customers in Fort Wayne, Indiana. The company built its
success on a reputation of providing timely maintenance and repair
service. Each OEI service contract states that a service technician
will arrive at a customer's business site within an average of 3
hours from the time that the customer notifies OEI of an...

In a car pressure wash the average arrival rate is 12 cars per
hour and are serviced at an average rate of 15 cars per hour, with
service times exponential.
It is requested:
a) Probability that the system is empty.
b) Average number of clients in the washing system.
c) Average number of clients in the row.
d) Average time a customer waits in line.
e) Probability of having a row of more than 2 clients.
f) Probability of waiting...

Speedy Oil provides a single-channel automobile oil change and
lubrication service. Customers provide an arrival rate of 2.5 cars
per hour. A mechanic needs 15 minutes to serve one car. Assume
Poisson arrivals and exponential service time (show steps)
A) What is the average number of cars in the system (auto
shop)
B) What is the probability that an arrival has to wait for
service
C) What is the average time that a car waits for the oil and
lubrication...

For an M/M/1/GD/∞/∞ queuing system with arrival rate λ = 16
customers per hour and service rate μ = 20 customers per hour, on
the average, how long (in minutes) does a customer wait in line
(round off to 3 decimal digits)?

The customer support hotline for Bitway Computers is currently
staffed by a single technician. Calls arrive randomly at a rate of
five per hour and follow a Poisson distribution. The technician can
service calls at an average rate of seven per hour, but the actual
time required to handle a call is an exponential random variable.
The president of Bitway has received numerous complaints from
customers about the length of time they must wait “on hold” for
service when calling...

in an M/M/1 queueing system, the arrival rate is 9
customers per hour and the service rate is 14 customers per
hour.
What is the utilization? (Round your answer to 3
decimal places.)
What is the expected number of customers in the system
(L)? (Round your answer to 3 decimal
places.)
What is the expected waiting time in the system (W)?
(Express the waiting time in hours, round your answer to 3
decimal places.)
What is the expected number of...

If the average arrival rate is 10 per hour, and the average time
it takes to help a customer is 5 minutes, then:
Group of answer choices
No customer will ever have to wait: we can help more customers
per hour than arrive
Utilization is less than 100%: we can help more customers per
hour than arrive, but we may have a queue form and customers might
have to wait..
None of the other answers are correct
There can never...

A simple queueing system has an arrival rate of 6 per hour and
a service rate of 10 per hour. For this system the average time in
line has been estimated to be 20 minutes. Using Little’s Law
estimate the following:
Average time in the queueing system
Average number of customers in the queueing system
Average number of customers in the queue
Average number of customers in service.

n an M/M/1 queueing system, the arrival rate is 9
customers per hour and the service rate is 14 customers per
hour.
What is the utilization? (Round your answer to 3
decimal places.)
What is the expected number of customers in the system
(L)? (Round your answer to 3 decimal
places.)
What is the expected waiting time in the system (W)?
(Express the waiting time in hours, round your answer to 3
decimal places.)
What is the expected number of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago