Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour. Customers are served by a single customer service representative (CSR), at a rate of 10 customers per hour. Service times are also exponentially distributed. Which of the following statements are true? O The probability of having exactly three customers in the store is 0.128. O None of the answers are correct. The store has customers waiting for a CSR 80.0% of the time. O The average number of customers in the store is 3.2. O The average wait time for the CSR is 24 minutes.

Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour. Customers are served by a single customer service representative (CSR), at a rate of 10 customers per hour. Service times are also exponentially distributed. Which of the following statements are true? O The probability of having exactly three customers in the store is 0.128. O None of the answers are correct. The store has customers waiting for a CSR 80.0% of the time. O The average number of customers in the store is 3.2. O The average wait time for the CSR is 24 minutes.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Related questions

Q: Which of the following is false about the Assumptions of queuing model? The elapsed time since the…

A: Queuing theory is a branch of mathematics that deals with the study of queues or waiting lines. It…

Q: In a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services…

A: Given, Arrival rate a = 1/4 per sec Service rate s = 1/2 per sec Standard deviation of service time…

Q: Describe at least 4 operating characteristics you can determine by performing queue analysis. What…

A: Queue Analysis: Queue analysis is very important for every business model nowadays…

Q: Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The…

A: Idle time percentage is the period when the representatives are not working or occupied with some…

Q: A queueing system has an arrival rate of 29 patients per minute (standard deviation of 21) and a…

A: Given, Arrival rate a = 29 per minute Standard deviation of arrival rate Sa= 21

Q: In queuing theory and modeling, if 1/μ represents mean service time. What does μ represent?…

A: A queueing model is a mathematical framework used to analyze and understand how entities (such as…

Q: A large insurance company maintains a central computing system that contains a variety of…

A: Given data: Arrival rate (λ)=35 call per hour Service rate (μ)= 19 calls per hour

Q: On a toll road, there are 4 lanes for drivers to pay their toll. Customer arrival times are random,…

A: ANSWER : If we look at the given system, it is evident that the drivers are coming in a single lane…

Q: In a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services…

A: Queuing with variability in inter-arrival time and activity time:…

Q: A clinic has only one dentist. During working days, the traffic is uniformly busy with patients…

A: Arrival Rate (λ) = 8 patients per hourService Rate (μ) = 3 minutes = 60 min/3 = 20 patients per hour

Q: A server operates with 75 percent utilization. The average processing time istwo minutes and the…

A: Utilization of Server = ρ=0.75 Average processing time = 2 minutes Service rate = μ = 12×60 = 30…

Q: How could you analyze a queuing system for which no known analytical model applies? none of the…

A: How could you analyze a queuing system for which no known analytical model applies? none of the…

Q: Firms that desire high service levels where customers have short wait times should target server…

A: Utilization levels should not be more than 70 to 80 percent for the firm when they have the desire…

Q: Why does a (M/M/2):(GD/5/infinity) queuing system have a steady state regardless of the values of A…

A: Why does a (M/M/2):(GD/5/infinity) queuing system have a steady state regardless of the values of A…

Q: A bank has an average of 10 customers per hour arriving into the system, and it takes an average of…

A: Given that:

Q: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to…

A: Hi, We are supposed to answer 3 subparts at a time. Since you have not mentioned which subparts to…

Q: In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7…

A: As per guidelines, we are supposed to answer only three subparts if multiples subparts are asked.

Q: In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11…

A: Given data Arrival rate of clients (λ) = 8 customer per hour Service rate of clients (μ) = 11…

Q: Customers enter the camera department of a store at an average rate of six per hour. The department…

A: The given problem corresponds to the M/M/1 queuing model which is a single-server queuing system…

Q: Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The…

A: Arrival rate (lambda) = 35 calls per hour Service rate (each dispatcher) (Mu) = 60/3 = 20 calls per…

Q: Suppose that 8 customers per hour arrive at a bank during the 11a-1p. "lunch-hour", period. It is…

A: The statement that is true assuming the system is in steady-state during the "lunch-hour" period…

Q: Which of the following is not a valid queuing model based on the Kendall notation? Select one: A.…

A: The Kendall notation is a way of representing queuing systems using a concise and informative…

Q: 48. Ships arrive at a port facility at an average rate of twoships every three days. On average, it…

Q: Emergency medical personnel are standing outside the HyVee grocery store and taking the temperature…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A large insurance company maintains a central computing system that contains a variety of…

A: Find the Given details below: Given details: Arrival time λ 38 Calls per hour Service time μ…

Q: For the first three minutes of the day, the arrival rate at the book store is 23 customers per…

A: Given Time interval (t) = 3 minutes Arrival rate (λ)= 23 customers/minuteServing rate(μ)=21…

Question

Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour.
Customers are served by a single customer service representative (CSR), at a rate of 10 customers
per hour. Service times are also exponentially distributed.
Which of the following statements are true?
O The probability of having exactly three customers in the store is 0.128.
O None of the answers are correct.
The store has customers waiting for a CSR 80.0% of the time.
The average number of customers in the store is 3.2.
O The average wait time for the CSR is 24 minutes.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

If there can be only one answer, what would it be?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Suppose the waiting time at a certain checkout counter is bi-modal. With probability 0.85, the waiting time follows an exponential distribution with a mean waiting time of four minutes. With probability 0.15, the waiting time equals 20 minutes. a) Compute the mean and median waiting time at the checkout counter. b) Compute the variance of the waiting time at the checkout counter. c) Compute the probability that an individual customer waits longer than 5 minutes at the checkout counter.
Subject - account Please help me. Thankyou.
Proctoring Enabled: Chapter 12 Computer Simulati. O Save & Exit Submit Saved Help You have determined that waiting times at a toll booth are uniformly distributed over the interval 50 to 110 seconds. Your simulation generates the following random numbers. Complete the table with the waiting time associated with each random number. (Round your answers to the nearest whole number.) Random Number Waiting Time 0,64 0.87 0.57 Mc Graw Hill Next < Prev 5 of 5 ASUS
In a queueing system, customers arrive once every 3 hours (standard devlation = 4) and services take 2 hours (standard deviation = 6.2). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the system? customers
A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 37 calls per hour. The service rate per line is 24 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)=P(1)=P(2)=P(3)= (b) What is the probability that an agent will be denied access to the…
The program coordinator is out of town at a conference and you, as the assistant program coordinator, find yourself besieged by dozens of students needing permission to get into a very popular (but closed) class. Student arrivals are governed by the Poisson distribution with a mean of 5 minutes. Telling the students that they can't get into the closed class takes about 3 minutes, and this average is exponentially distributed. About how long does it take a student to wait in line and receive your valuable service?
A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 9 customers per hour and an average service rate of 13 customers per hour. The probability of 6 customers in the system is : a. 0.9661 b. 0.8899 c. 0.3077 d. 0.03388
1.)The arrival rate is the rate of arrivals to the service facility all of these rate items arrive at the server after being in the queue time between arrivals to the service facility 2.) what is "queue discipline"?
Consider two identical queuing systems except for the service time distribution. In the first system the service time is random and Poisson distributed. The service time is constant in the second system. How would the waiting time differ in the two systems?
A waiting-line system that meets the assumptions of M/M/S has λ = 5, μ = 4, and M = 2. For these values, Po is approximately 0.23077, and Ls is approximately 2.05128. What is the average time a unit spends in this system? Select one: a. approximately 0.8013 b. approximately 0.4103 c. Cannot be calculated because λ is larger than μ. d. approximately 0.2083 e. approximately 0.1603
In improving services to consumers, Limited Company Prima conducted a study of the queue time spent by consumers during the payment process with one available payment service.The average arrival of consumers in 1 hour is 8 consumers, while every hour the number of customers who can be served is 10 consumers. Count: a. The average length of time the customer is in the storeb. Average number of consumers who are being servedc. If the waiter fee is 500 and the subscription fee is waiting for 100, calculate the hourly amount
Let a queuing system have the Kendall model (M/M/1) : (GD/infinity/infinity). Assume A < µ. Does W, for the service discipline FIFO equal W, for the service discipline SIRO? O I have no idea. no yes It cannot be determined.