Question
during the evening shift at kroger only one full service lane is open with 1 cashier...
during the evening shift at kroger only one full service lane is
open with 1 cashier , customers arrive at the checkout lane
according to a poisson process with rate of 30 per hour. the
cashier works at an exponential rate of 45 per hourand there is no
limit on the number of people per line.
what is the expected amount of time in minutes for a customer
to spend in the system(from when they get in line to they depart
with groceries?
what is the expected amount of time in hours for a person to
spend waiting in line?
what is the expected number of people in the system?
Homework Answers
Answer #1
hii...
although I am trying to provide the detailed answer but if you have
any doubt please ask by comment. please like the answer.
thanks..
Not the answer you're looking for?
Similar Questions
In a grocery store, there is one cashier counter. Customers arrive at the cashier counter according...
In a grocery store, there is one cashier counter. Customers
arrive at the cashier counter according to a Poisson process. The
arrival rate is 30 customers per hour. The service time is
exponentially distributed. The mean service time is 1 minute 30
seconds.
1. What is the expected number of customers waiting in the
system.
2. What is the expected waiting time.( unit in minutes)
3. What is the utilization rate (unit in %) of
the cashier?
Case Study: Pantry Shop (modified) Customers arrive at the Pantry Shop store at a rate of...
Case Study: Pantry Shop (modified)
Customers arrive at the Pantry Shop store at a rate of 3 per
minute and the Poisson distribution accurately defines this rate. A
single cashier works at the store, and the average time to serve a
customer is 15 seconds, and the exponential distribution may be
used to describe the distribution of service times.
What are λ and μ in this situation?
Using Kendall notation, what type of queuing system is
this?
How many minutes...
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers...
Pete's Market is a small local grocery store with only one
checkout counter. Assume that shoppers arrive at the checkout lane
according to a Poisson probability distribution, with an arrival
rate of 15 customers per hour. The checkout service times follow an
exponential probability distribution, with a service rate of 25
customers per hour. The manager’s service goal is to limit the
waiting time prior to beginning the checkout process to no more
than five minutes. Also the manager of...
A dental clinic at which only one dentist works is open only 4 days a week....
A dental clinic at which only one dentist works is open only 4
days a week. During those 4 days, the traffic is uniformly busy
with patients arriving at the rate of 4.7 per hour (Poisson
arrivals). The doctor serves patients at the rate of 1.9 every 10
minutes (with exponential service time). During those 4 days that
the clinic is operating, what is the average number of patients in
the waiting room?
Note: Only round your final answer. Round...
The Heart Association plans t install a free blood pressure testing booth at the Palouse mall...
The Heart Association plans t install a free blood pressure
testing booth at the Palouse mall for a week. Previous experience
indicates that, on average, 10 persons per hour request a test and
the arrivals are Poisson distributed from an infinite population.
Blood pressure measurements are exponential with an average time of
5 minutes per exam.
a. What is the average number of people in line (2 pts)?
b. What is the average number of people in the system (2...
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and...
Students arrive at the Administrative Services Office at an
average of one every 15 minutes, and their requests take on average
10 minutes to be processed. The service counter is staffed by only
one clerk, Judy Gumshoes, who works eight hours per day. Assume
Poisson arrivals and exponential service times.
a. What percentage of time is Judy idle?
(Round your answer to 1 decimal place.)
Percentage of time
%
b. How much time, on average, does a student spend
waiting...
1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank...
1. Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 6 customers
per hour or 0.1 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 54 customers per hour, or 0.9
customers per minute. Determine the...
(Operations Management) A residential construction company has opened a registration office. Customers arrive at the rate...
(Operations Management) A residential
construction company has opened a registration office. Customers
arrive at the rate of 200 per hour (Poisson Distribution) and the
cost of their waiting in the queue is estimated $100 per person per
hour. The local convention bureau provides servers to register
customers at the fee of $15 per person per hour. Registration
process takes 1 minute (Exponential Distribution) and a single
waiting line, with multiple servers is set up.
a) Compute both the minimum and...
Exercise 11.2.5 Customers arrive at Bunkey’s car wash service at a rate of one every 20...
Exercise 11.2.5 Customers arrive at Bunkey’s car wash service at
a rate of one every 20 minutes and the average time it takes for a
car to proceed through their single wash station is 8 minutes.
Answer the following questions under the assumption of Poisson
arrivals and exponential service.
(a) What is the probability that an arriving customer will have
to wait?
(b) What is the average number of cars waiting to begin their
wash?
(c) What is the probability...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per...
Suppose that the customers arrive at a hamburger stand at an
average rate of 49 per hour, and the arrivals follow a Poisson
distribution. Joe, the stand owner, works alone and takes an
average of 0.857 minutes to serve one customer. Assume that the
service time is exponentially distributed.
a) What is the average number of people waiting in queue and in
the system? (2 points)
b) What is the average time that a customer spends waiting in
the queue...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 1 minute ago
asked 5 minutes ago
asked 5 minutes ago
asked 13 minutes ago
asked 13 minutes ago
asked 14 minutes ago
asked 21 minutes ago
asked 32 minutes ago
asked 43 minutes ago
asked 58 minutes ago
asked 1 hour ago
asked 1 hour ago