Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
12th Edition
ISBN: 9781259580093
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 18, Problem 1CQ
Summary Introduction
To choose: Between two options.
Introduction: Poisson distribution is utilized to ascertain the probability of an occasion happening over a specific time period or interval. The interval can be one of time, zone, volume or separation. The probability of an event happening is discovered utilizing the equation in the Poisson distribution.
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How does an event improve the smooth queue management?
The following build-up diagram tracks the number of customers for a single-server
queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day.
The number of customers shown in the chart includes both those in service and
waiting in line.
Build-up diagram
# of Customers in system (in service + waiting)
3
2
1
0
10:00 10:01
10:02 10:03 10:04
10:07
10:09
We will call the customer who arrived the earliest during this time span the first
customer, the customer who arrived the second earliest the second customer, etc..
The service discipline is first-come-first-served (FCFS).
According to the diagram, how long did the second customer have to wait (in
minutes) before he can enter service?
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
Chapter 18 Solutions
Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
Ch. 18 - Prob. 1DRQCh. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQCh. 18 - Prob. 4DRQCh. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQCh. 18 - Prob. 7DRQCh. 18 - Prob. 8DRQCh. 18 - Prob. 9DRQCh. 18 - Prob. 1TS
Ch. 18 - Prob. 2TSCh. 18 - Prob. 3TSCh. 18 - Prob. 1CTECh. 18 - Prob. 2CTECh. 18 - Prob. 3CTECh. 18 - The owner of Eat Now Restaurant implemented an...Ch. 18 - Prob. 5CTECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A priority waiting system assigns arriving...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 1CQ
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The business doesn’t need a separate warehouse or staff for fulfillment, and packages are on their way to customers more quickly because the products were in FedEx’s warehouse, ready to be packed and shipped. This service puts FedEx into direct competition with Amazon.com, which offers a similar service to merchants that sell through the online Amazon Marketplace. But it also gives businesses that don’t sell via Amazon a fast and professional fulfillment alternative. FedEx is careful to let customers know, through media and social-media announcements, when it anticipates that extreme weather or other conditions will cause delays or force it to halt pickups and deliveries. For the duration of Hurricane Irma, for example, FedEx said it would suspend deliveries in Florida. Some Florida customers who had ordered generators to be delivered via FedEx were unhappy, because they worried about being without power during and after the storm. But one FedEx employee loaded several generator orders into his car and took them to customers himself. When a customer posted a grateful compliment to FedEx on Facebook, the message generated thousands of likes, shares, and positive comments. The company also received positive comments for its donations of cash and transportation services to areas devastated by Hurricanes Irma, Harvey, and Maria. According to the American Customer Satisfaction Index (ACSI), FedEx often tops the list of U.S. shipping companies as ranked by customers surveyed. Every day, the company delivers 13 million packages—and during the busy year-end holiday season, it delivers many more. By meeting customers’ expectations for on-time deliveries, FedEx has increased annual revenues beyond $60 billion and positioned itself for continued growth in the future. 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- Discuss how the design of a waiting system can negatively affect customers?arrow_forwardIn an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (round your answer to 3 decimal places) b. What is the expected number of customers in the system (L)? (round your answer to 3 decimal places) c. What is the expected waiting time in the system (W)? (express the waiting time in hours, round your answer to 3 decimal places) d. What is the expected number of customers in the queue (Lq)? (round your answer to 3 decimal places) e. What is the expected waiting time in the queue (Wq)? (express the waiting time in hours, round your answer to 3 decimal places)arrow_forward9. Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: a. What is the probability that no units are in the system? b. What is the probability that one customer is receiving a haircut and no one is waiting? What is the probability that one customer is receiving a haircut and one customer is waiting? C. d. What is the probability that one customer is receiving a haircut and two customers are waiting? e. What is the probability that more than two customers are waiting? f. What is the average time a customer waits for service?arrow_forward
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