3. Find the proportion of the time that the employee is busy. 4. Find the average number of people receiving and waiting to receive information. 5. Find the average number of people waiting in line to get information.

3. Find the proportion of the time that the employee is busy. 4. Find the average number of people receiving and waiting to receive information. 5. Find the average number of people waiting in line to get information.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 52P

See similar textbooks

Related questions

Q: A large industrial pier has two cranes that load container ships. Trucks arrive in a single line and…

A: Given data The arrival rate of the vehicle is Poisson distributed Arrival rate (λ) = 20 trucks per…

Q: A student computer laboratory has a single laser printer. Jobs queue up on the printer from…

A: Given Information: Service Time: 4 minutes per printing job Service Rate: 15 jobs per hour Arrival…

Q: A post office has a single line for customers waiting for the next available postal clerk. There are…

A: Given: λ = 13×60= 20/hourμ = 12×60=30/hour c = number of servers = 2 Multiple server queues model…

Q: The Acme Machine Shop has five machines that periodically break down and require service.The average…

A: Given data: Number of machines (N) = 5 Now, the average number of machines will be calculated by…

Q: The following data has been collected on the number of customers seen to arriveto a museum in a…

Q: The Peachtree Airport in Atlanta serves light aircraft. It hasa single runway and one air traffic…

A: It is a single server problem Given μ = 8 minutes which is 7.5 per hour λ= 5/hour Solution a) the…

Q: A new mall is considering the number of employees on desk duty information, currently only one…

A: . The customer comes to the information desk with an average of 20 people per hour i.e. λ=20/hr The…

Q: A tax advisor is able to serve 5 customers per hour on a walk-in basis. An average of 3 customers…

A: NOTE: AS PER GUIDELINES, WE ARE ALLOWED TO DO ONLY ONE QUESTION AT A TIME. ANSWER IS AS BELOW:

Q: Many of a bank’s customers use its automatic teller machine to transact business after normal…

A: Given data is Customers arrival rate: λ=1 customer2 mins×60 mins/hrλ=30 customers/hr Service rate:…

Q: Students arrive randomly at the counter of the CIT Library. There is only one library assistant,…

A: Given data: Average arrival rate λ= 12 students per hour Average service rate μ = 20 students per…

Q: Customers arriving at a service center are assigned to one of three categories, with category 1given…

Q: a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) b.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Ray is planning to open a small car-wash operation for washing just one car at a time. He must…

Q: a.Arrivals to single bank counter are Poisson distributed with a rate of 22 per hour. The average…

A: This question is related to the topic of service quality and this topic falls under the operations…

Q: The supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes…

A: Given data, The average arrival rate of machinist = 8 per hour Rate paid per hour = $20 Total…

Q: The supervisor at the Precision Machine Shop wants to de-termine the staffing policy that minimizes…

A: answer: Let us first have a look at the information we have, arrival rate at tool crib=8/hour.....…

Q: Find the proportion of the time that the employee is busy Find the average number of people…

A: The proportion of the time that the employee is busy can be computed as below:

Q: Suppose that on average we observe 50 people at the beach and a rate of arrivals of oneperson every…

A: Formula:

Q: The following data has been collected on the number of customers seen to arrive to a museum in a…

A: Given 2 1 3 3 4 7 5 5 6 5 7 6 8 7 9 5 10 7 11 4 12 8 13 1 14 5 15 2…

Q: A. Explain the concept of queue and queue theory or waiting line theory and its importance in…

A: Below is the solution:-

Q: Paula Caplin is manager of a major electronics repair facilityowned by Fisher Electronics. Recently,…

A: WIP stands for Work in Process is the term which is defined as the goods that are completed…

Q: A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup andis…

A: (A) The above problem comes under the simple system queuing model(M/M/1)

Q: At a fashion retailer, there are 3 cashiers providing On average, customers arrive at the checkout…

A: A Small Introduction to Retailers Retail is an agreement where the dealer offers little amounts of…

Q: A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn…

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

Q: A student arrive in a photocopy service. There is only one photocopy operator, and the time required…

Q: A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn…

A: Note- We’ll answer the first three subparts of the question since the exact one wasn’t specified.…

Q: Answer the following questions. Answers are listed at the end of this section.1. The queuing models…

A: Note: I have answered for 1 to 3 questions. Kindly post the remaining questions separately. 1) First…

Q: The Hair Port is a hair-styling salon at Riverside Mall. Four stylists are always available to serve…

A: This question is of waiting model where we have all information related to the customer. In waiting…

Q: A new mall is considering the number of employees on desk duty information, currently only one…

A: Arrival Rate (λ)=20 per hour Service rate or average time to answer a question is 3 minutes…

Q: The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur…

A: Arrival rate λ=3 Service rate μ=8 NOTE: We are allowed to do the first three sub-parts only at a…

Q: At the order fulfillment center of a major mail-order firm, customer orders, already packaged for…

A: Utilization rate of the system = λ/μ Average number of packages waiting to be sorted= λ/μ(μ-λ)…

Q: In a restaurant, two types of foods are available. Arrival rate of customers is 26 per hour Poisson…

A: Queuing theory is nothing but the branch of mathematics that states about how the lines create, how…

Q: What is the probability that there are more than two students in the system? More than three…

A: NOTE: WE ARE ALLOWED TO DO THE FIRST THREE SUB-PARTS ONLY. PLEASE POST THE REST PARTS AGAIN TO GET…

Q: At a border inspection station, vehicles arrive at the rate of 8 per hour in a Poisson distribution.…

A: Since the given configuration is of M/M/1 type the steady state parameters of the queue is…

Q: 5. The DMV Licensing office has a single line for customers waiting for the next available clerk.…

Q: A new shopping mall is considering setting up an information desk manned by one employee. Based upon…

A: The detailed solution is given in Step 2.

Q: At a car washing service facility customers arrive at the rate of 8 cars per hour. The service can…

A: This is a single-server model, we can understand that and the arrival rate (λ) = 8 cars/hr and…

Q: What is the mean or expected number of customers that will arrive in a five-minute period? λ = fill…

A: A Poisson distribution is used to predict how many times an event will occur within "X" time…

Q: Find the probability that the employee is idle?

A: The probability of finding idle employees can be found as follows:

Q: Patients arrive at your emergency room at a rate of 2 per hour. The average service time per patient…

A: Here, from the given information, arrival rate and service rate can be identified. The mean arrival…

Q: Tracy and Diane, working as twohairstylists at coiffeur, dress hair of women at a rate of 3 women…

A: Note:-We’ll answer the first three subparts of the question since the exact one wasn’t specified.…

Q: Consider a bank branch that has three distinct customer arrival patterns throughout the day, as…

A: This formula shows P or the Probability of having a server that is idle. P0 is the probability of…

Q: Car owners fill up when their tanks are exactly half full. At the present time, an average of 8.5…

A: Scenario 1: Arrival rate = 8.5 cars/hr Service rate = 1Service time×60=13.68×60=16.3 cars/hr…

Q: A university is considering setting up an information desk manned by one employee. Based on…

A: Note: Since you have posted multiple parts in the questions, we will be answering the first three…

Concept explainers

Inventory Management

The supply chain is crucial to a firm's operations as it manages the inflow and outflow of products that are manufactured from the initial stage to the end product. It also considers the raw materials needed at different stages of production and when the work is in progress. Inventory management functions consist of ordering, storing, and procuring the organization's inventory like raw materials, factors, and finished products. It's also used for controlling the number of products for trade and helps manage the organization's inventory and stock. Inventory Management has been defined as having the right inventory, of the right volume, at the right cost.

Question

A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed.

3. Find the proportion of the time that the employee is busy.

4. Find the average number of people receiving and waiting to receive information.

5. Find the average number of people waiting in line to get information.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.

Similar questions

A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. 7. Find the average time a person seeking information spends at the desk. 8. Find the expected time a person spends just waiting in line to have a question answered. 9. What is the probability there are exactly 2 people in the system? 10. What is the probability there are more than 4 people in the system?
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the proportion of the time that the employee is busy Find the average number of people receiving and waiting to receive some information
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the average number of people waiting in line to get some information Find the average time a person seeking information spends in the system Find the expected time a person spends just waiting in line to have a question answered (time in queue) Assume that the information desk employee in problem 1 earn $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of the time spent waiting in line. Find the total expected costs over an 8-hour day
new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the probability that the employee is idle. Find the proportion of the time that the employee is busy. Find the average number of people receiving and waiting to receive some information. Find the average number of people waiting in line to get some information. Find the average time a person seeking information spends in the system. Find the expected time a person spends just waiting in line to have a question answered (time in the queue).
The following data has been collected on the number of customers seen to arriveto a museum in a succession of 5-minute intervals: 5, 1, 3, 7, 5, 5, 6, 7, 5, 7, 4, 8, 1,5, 2, 3, and 5. Estimate the squared coefficient of variation of the arrival process. Ifthis data was known to come from a Poisson process, what would be your estimateof l, the rate of customer arrivals?
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. How long in minutes would it take the customer from lining up until he leaves the waiting line? b.How long in minutes would a customer wait to be served on average? c.Find the probability that there are 7 customers in the system.
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the probability that the employee is idle?
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank
A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 11 seconds, exponentially distributed. a. How many customers would you expect to see on the average at the coffee urn? b. How long would you expect it to take to get a cup of coffee? c. What percentage of time is the urn being used? d. What is the probability that three or more people are in the cafeteria? e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 11 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? f.If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 11 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time?