Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
9th Edition
ISBN: 9781119371618
Author: Roberta S. Russell
Publisher: Wiley (WileyPLUS Products)
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 10P
Summary Introduction
To explain: Determine the probability that a truck will pass by the station if it sees four or more trucks in line.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a weigh station. Trucks arrive
at the weigh station at a rate of 120 per eight-hour day (Poisson distributed), and the station can weigh, on the average, 140
trucks per day (Poisson distributed). Suppose arriving truck drivers look to see how many trucks are waiting to be weighed at
the weigh station. If they see four or more trucks in line, they will pass by the station and risk being caught and ticketed.
What is the probability that a truck will pass by the station?
The Taj Service Station has five mechanics each of whom can service a scooter in two hours
on an average. The scooters are registered at a single counter and then sent for servicing to
different mechanics. Scooters arrive at the service station at an average rate of two scooters
per hour. Assuming that the scooter arrivals are Poisson distributed and the servicing times are
distributed exponentially, determine
a. Utilisation factor
b. The probability that the system shall be idle.
c. The probability that there shall be three scooters in the service centre
d. The probability that there shall be eight scooters in the service centre
e. The expected number of scooters waiting in the queue
f. The expected number of scooters waiting in the service centre
g. The average waiting time in the queue
h. The average time spent by a scooter in waiting and getting service
The state operates a weigh station for trucks traveling on the highway. Every truck must pull off the highway, enter the weigh station, and undergo state inspection procedures before counting on. Trucks arrive at this station at a poisson rate of seven per hour. The time to inspect/weigh a truck varies, having an exponential probability density with a mean of 7 minutes.A. How many trucks are detained at the station on the average?
B. How long can a truck expect to be detained?C. How many trucks are lined up in front of the station on the average?D. How long on the average does a truck driver have to wait in line for the truck to beinspected?
Chapter 5 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Prob. 2.1ASCCh. 5 - Prob. 2.2ASCCh. 5 - Prob. 2.3ASCCh. 5 - Prob. 3.1ASCCh. 5 - Prob. 3.2ASCCh. 5 - Prob. 1QCh. 5 - Prob. 2Q
Ch. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 19QCh. 5 - Prob. 20QCh. 5 - Under what conditions will the single-channel,...Ch. 5 - Prob. 22QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Annie Campbell is a nurse on the evening shift...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Drivers who come to get their licenses at the...Ch. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - The Waterfall Buffet in the lower level of the...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - The Baytown Post Office has four stations for...Ch. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - After reviewing your report above, Tech has...Ch. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 1.1CPCh. 5 - Prob. 1.2CPCh. 5 - Prob. 2.1CPCh. 5 - Prob. 2.2CPCh. 5 - Prob. 3.1CPCh. 5 - Prob. 4.1CP
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
- During nearly four decades of business operations, Memphis-based FedEx has earned a reputation for reliable, on-time delivery of packages to homes and offices around the country. Founder Fred Smith originally focused on overnight deliveries, choosing Memphis as the company’s headquarters because the airport rarely closes due to bad weather. With FedEx’s planes departing and arriving on schedule nearly all the time, its express shipments usually remained on schedule, then and now. To reassure customers that delivery will take place when and where promised, the firm offers a money-back guarantee on time-sensitive express shipments, among other services. FedEx has steadily expanded its portfolio of services since the 1970s. Its original overnight express delivery is currently available to U.S. customers in various forms, including “first-overnight” delivery, next-morning delivery, next-afternoon delivery, and budget-pleasing two- or three-day delivery. 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. Then the company arranged for large U.S. retailers such as Walgreens, Albertsons, Kroger, and Safeway to accept packages for shipment and receive package delivery for customer pickup in thousands of store locations. This means people who want to send a package can head to a nearby retailer and ship where they shop, rather than making a separate trip to the FedEx location. It’s also a safe alternative for packages to be picked up by people who don’t want FedEx shipments left by the front door. Another service FedEx offers to small and mid-sized businesses, including retailers, is FedEx Fulfillment. The purpose is to expedite order fulfillment by having each business store its products in a FedEx warehouse. Then, when the business’s customers place orders, FedEx puts the products into boxes bearing the business’s own logo and ships directly to those customers. 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. How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?arrow_forwardAssume 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_forwardLambda Mu Probability system is empty Average number waiting for service in the queue Average number in system (queue and in service) Average time waiting for service (time in queue) vaiting time in system (waiting time plus service time) Probability arrival has to wait n= bability of n units in the system (queue and in service) 10 12 0.167 4.167 5.000 0.417 0.500 0.833 3 0.096arrow_forward
- At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit…arrow_forwardTrucks are required to check in at a weigh station (scale) so that they can be inspected for weight violations. Trucks arrive at the station at the rate of 40 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour, according to Poisson distribution. a. If only 13 trucks fit in the system, what is the probability that a truck cannot enter the system?arrow_forwardRobert Olney's Barbershop is a popular haircutting and styling salon near the campus of the University of New Haven. Four barbers work full-time and spend an average of 15 minutes on each customer. Customers arrive all day long at an average rate of 12 per hour. Arrivals tend to follow the Poisson distribution, and service times are negative exponentially distributed. The software described in this quantitative module may be used to answer the following questions. a) The probability that the shop is empty is b) The average number of customers in the barber shop is c) The average time spent in the shop is hours (round your response to three decimal places). d) The average time that a customer waits to be called to the barber chair is hours (round your response to three decimal places). e) The average number waiting to be served is customers (round your response to two decimal places). f) Robert is thinking of adding a fifth barber. The utilization rate of his shop will be (round your…arrow_forward
- Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system? What is the average time that a car waits for the oil and lubrication service to begin? What is the average time a car spends in the system? What is the probability that an arrival has to wait for service?arrow_forwardHow does an event improve the smooth queue management?arrow_forwardThe Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 6 boats per hour and that the service rate for each server is 10 boats per hour. (Round your answers to four decimal places. Report time in hours.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time a boat will spend waiting for service? h (d) What is the average time a boat will spend at the dock? harrow_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_forwardSolve This Questionarrow_forwardThe Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 6 boats per hour and that the service rate for each server is 11 boats per hour. (Round your answers to four decimal places.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time (in hours) a boat will spend waiting for service? h (d) What is the average time (in hours) a boat will spend at the dock? h (e) If customers expect to be able to be in and out of the marina within 10 minutes on average, does this system provide acceptable service? ---Select--- ], since the average time a boat…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,
MarketingMarketingISBN:9780357033791Author:Pride, William MPublisher:South Western Educational Publishing
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Marketing
Marketing
ISBN:9780357033791
Author:Pride, William M
Publisher:South Western Educational Publishing