Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 16, Problem 4PA
Summary Introduction
To determine: The average waiting time for the customers who arrive in this period.
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Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4 minutes to prepare a complete license. The interarrival time between two drivers is 6 minutes distributed exponential.
a) What type of queuing model this system follow ?
b) Determine the average length of the waiting line.
c) Determine the average waiting time.
During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find:
(a) The average number of customers waiting for service if 5 clerks are used.
(b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes.
(c) If clerk cost is $40 per hour and customer waiting time represents a “cost” of $30 per hour, how many clerks can be justified on a cost basis? Please show work.
A supermarket manager notices that there are 20 customers at the checkouts andalso knows that arrivals to the checkout at that time of day are at a rate of abouttwo per minute. About how long are customers spending in the checkout process(queueing and being served) on average?
Chapter 16 Solutions
Operations Management
Ch. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - Prob. 4CQCh. 16 - Which of the following best reflects pooling...Ch. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 1PACh. 16 - Prob. 2PACh. 16 - Prob. 3PA
Ch. 16 - Prob. 4PACh. 16 - Prob. 5PACh. 16 - Prob. 6PACh. 16 - Prob. 7PACh. 16 - Prob. 8PACh. 16 - Prob. 11PACh. 16 - Prob. 12PACh. 16 - Prob. 13PACh. 16 - Prob. 14PACh. 16 - Prob. 15PACh. 16 - Prob. 16PACh. 16 - Prob. 17PACh. 16 - Prob. 18PACh. 16 - Prob. 19PACh. 16 - Prob. 20PACh. 16 - Prob. 21PACh. 16 - Prob. 22PA
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The company’s services also include cost-effective ground delivery for parcels and extra-speedy same-day delivery for urgent deliveries within 1,800 cities. Over the years, FedEx has widened its delivery network to more than 220 countries. It has purchased more cargo jets and acquired specialized shipping firms, including Tiger International, Roberts Express, RPS, and TNT Express, to support global growth. For international business customers needing products, parts, or raw materials shipped across countries or continents, the company now offers time-saving services such as commercial freight forwarding and cross-border logistical support. To add the convenience of local drop-off and pickup points for U.S. consumers and small businesses, FedEx acquired the Kinko’s office services company in 2004 and later rebranded it as FedEx Office. This acquisition also added printing and copying to the menu of services offered. 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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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How many Customers would enter the bank on a typical day? How much total time would the customers spend waiting in line during the entire day if two tellers were used? What is the total Daily waiting cost? How much total time would customers spend waiting in line during the entire day if two tellers were used? What is the total daily waiting cost? If billy wishes to minimize the total waiting time and personal cost how many tellers should be used?arrow_forward
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