Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12, Problem 47P
Summary Introduction
To determine: The number of teller windows that should be opened by Bank 2.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An average of 300 customers per hour arrive at a hugebranch of bank 2. It takes an average of 2 minutes to serveeach customer. It costs $10 per hour to keep open a tellerwindow, and the bank estimates that it will lose $50 infuture profits for each hour that a customer waits in line.How many teller windows should bank 2 open?
You are considering to invest in a franchise for
a coffee shop in your neighborhood. To
understand the revenue potential, you decide
to visit a coffee shop from the same chain next
to your neighborhood. In the next few months,
you visit this coffee shop at random times
between 6am and 9am. You observe that the
line (queue) averages about 9 customers and it
takes about 3 minutes to get in and out of the
coffee shop. Assuming this is a typical
experience and each customer spends about
$5 per visit, what is the revenue potential per
hour of this coffee shop?
Hint: Calculate the number of customers
arriving per minute (i.e., λ). Convert this to
customers per hour. Then, calculate the
revenue from these customers (each customer
spends about $5, on average)
The manager of a branch office of Banco Mexicali observed that during peak hours an average of 20 customers arrives per hour and that there is an average of four customers in the branch office at any time. How long doesthe average customer spend waiting in line and being serviced?
Chapter 12 Solutions
Practical Management Science
Ch. 12.3 - Prob. 1PCh. 12.3 - Explain the basic relationship between the...Ch. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.4 - Prob. 5PCh. 12.4 - Prob. 6PCh. 12.4 - Prob. 7PCh. 12.4 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10P
Ch. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 18PCh. 12.5 - Prob. 19PCh. 12.5 - Prob. 20PCh. 12.5 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.5 - On average, 100 customers arrive per hour at the...Ch. 12.5 - Prob. 24PCh. 12.5 - Prob. 25PCh. 12.5 - Prob. 26PCh. 12.5 - Prob. 27PCh. 12.5 - Prob. 28PCh. 12.5 - Prob. 29PCh. 12.5 - Prob. 30PCh. 12.5 - Prob. 31PCh. 12.5 - Prob. 32PCh. 12.5 - Prob. 33PCh. 12.5 - Prob. 34PCh. 12.5 - Prob. 35PCh. 12.5 - Two one-barber shops sit side by side in Dunkirk...Ch. 12.5 - Prob. 37PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 54PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61P
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
- Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is six trucks per hour. Use the Single Server QueueExcel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?arrow_forwardIn a D/D/1 queueing systems, the arrival rate and service rate are equal to 6 customers/hour and 12 customers/hour, respectively. What is the average queue length?arrow_forwardA bank teller takes 2.4 minutes, on average, to serve a customer. What would be the hourly service rate used in the queuing formulas?arrow_forward
- Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?arrow_forwardA bank teller takes 24 minutes on average to serve a customer. What would be the hourly servicerate used in the queuing formulas?arrow_forwardMany of a bank’s customers use its automated banking machine (ABM). During the early eveninghours in the summer months, customers arrive at an ABM at the rate of one every other minute(assume Poisson). Each customer spends an average of 99 seconds completing the transaction.Transaction times are exponentially distributed. Assume that the length of the queue is not aconstraint. Determine the average time customers spend at the machine, including waiting in line and completing transactions. Determine the probability that a customer will not have to wait upon arrival at the ABM. Determine the utilization of the ABM.arrow_forward
- please solve within 30 minutes.arrow_forwardAn average of 36 customers per hour arrives at a bank branch office (Poisson arrival) and wait in a single line to be served by the first available teller. The average time for each teller to service a customer is 4 minutes (exponentially distributed). Each teller earns $160/day and the bank branch office assesses a waiting cost of $50/day that a customer waits in the system. How many tellers should be on duty in this bank branch office to minimize the total cost of this waiting line system? 2 4 5arrow_forwardConsider a Poisson queue with random arrivals at the rate of 12 customers per hour and the following steady- state probabilities: po = 1/3, p1 = 1/2, p2 = 1/6, and p, = 0 for n = 3,4,5, ... . What is the mean (or effective) arrival rate in customers per hour for this queuing system? Consider drawing a rate diagram to assist in your solution. O 10 12 O none of the other choices O 2arrow_forward
- I am looking to simulate the flow of four different products within a warehouse environment. Each product first moves to a temporary waiting area before being processed by one of four dedicated inspection machines. After inspection, the products proceed to a scanning station and are then transported to one of four racks. Products arrive randomly, averaging every 12 seconds, with inspection times varying, averaging 6 seconds. The scanning process is fixed at 4 seconds. The simulation will run for 50,000 seconds with a queue capacity of 10,000. To start, I am using FlexSim to build the model. I will be setting up the layout, configuring the settings for key elements like queues, sources, and processors, and analysing the simulation output, paying attention to important metrics such as the “state” and “average content” of key objects to gain insights into the system’s performance.Help me check whether my layout in the attached image is correct or not for the above task, or i am still…arrow_forwardMarty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places.P3 = What is the probability that more than two customers are waiting? Round your answer to four decimal places.P(More than 2 waiting) = What is the average time a customer waits for service? Round your answer to four decimal places.Wq = minutesarrow_forwardAutomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.(Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system? What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customerreceiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,