Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 17, Problem 4PA
a)
Summary Introduction
To determine: The offered load.
b)
Summary Introduction
To determine: Implied Utilization.
c)
Summary Introduction
To determine: The capacity of process
d)
Summary Introduction
To determine: The probability that all 8 cars are rented at the same time.
e)
Summary Introduction
To determine: Customers served every hour.
f)
Summary Introduction
To determine: Utilization of cars.
g)
Summary Introduction
To determine: The number of cars required for 90% of the demand?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions. Round calculations to at least 3 decimal places.Note: Round each calculation to at least 3 decimal places.
a) What is the average number of passengers waiting in line to be screened?
b) What is the average amount of time (in minutes) passengers spend waiting in line?
c) What is the average amount of time (in minutes) passengers spend in the screening system?
d) What is percent of the time does the typical TSA agent spend actively screening passengers?
e) Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45…
Ocala Software Systems operates a technical support center for its software customers. If customers have installation or use problems with Ocala
software products, they may telephone the technical support center and obtain free consultation. Currently, Ocala operates its support center with one
consultant. If the consultant is busy when a new customer call arrives, the customer hears a recorded message stating that all consultants are currently
busy with other customers. The customer is then asked to hold and is told that a consultant will provide assistance as soon as possible. The customer
calls follow a Poisson probability distribution, with an arrival rate of five calls per hour. On average, it takes 7.5 minutes for a consultant to answer a
customer's questions. The service time follows an exponential probability distribution. To improve customer service, Ocala Software Systems wants to
investigate the effect of using a second consultant at its technical support center.
What effect…
Ocala Software Systems operates a technical support center for its software customers. If customers have installation or use problems with Ocala software
products, they may telephone the technical support center and obtain free consultation.
Currently, Ocala operates its support center with one consultant. If the consultant is busy when a new customer call arrives, the customer hears a
recorded message stating that all consultants are currently busy with other customers. The customer is then asked to hold and is told that a consultant
will provide assistance as soon as possible. The customer calls follow a Poisson probability distribution, with an arrival rate of six calls per hour. On
average, it takes 7.1 minutes for a consultant to answer a customer's questions. The service time follows an exponential probability distribution.
To improve customer service, Ocala Software Systems wants to investigate the effect of using a second consultant at its technical support center. (Round
your…
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_forwardTrucks arrive at a warehouse at a rate of 15 per hour during business hours. Crews canunload the trucks at a rate of five per hour. The high unloading rate is due to cargo beingcontainerized. Recent changes in wage rates have caused the warehouse manager to reexamine the question of how many crews to use. The new rates are: Crew and dock cost is$100 per hour; truck and driver cost is $120 per hour.arrow_forwardYou 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)arrow_forward
- The Shady Farm Milk Company can process milk at a fixed rate of 6,200 gallons/hour. The company’s clients request 104,000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at 8 a.m. and continues to work until all of the demand has been satisfied. How long does an average unit milk have to wait between its arrival at the dairy until it is processed?arrow_forwardAn 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?arrow_forwardCustomers arrive randomly to an airport shoe-shine stand at a rate of 8 per hour. The average length of a shoe shine is 12 minutes. There are two attendants. Arriving customers who find both chairs occupied by other customers will wait only if NO customers are waiting. Assume that service times are exponentially distributed and that the calling population is infinite. (a) VWhat is the queuing model? (b) To the nearest third decimal place, what is the expected total time in steady state that a customer spends at the stand? O (M/M/2): (GD/2/infınity), 18.333 minutes O (M/G/2): (GD/infinity/infinity), 0.467 hours none of the other choices O (M/M/2) : (GD/3/infinity), 0.233 hoursarrow_forward
- Customers arrive in a barber shop at an average rte of five per hour, the actual arrivals being Poisson distributed. There is one barber on duty at all times and there are four chairs for customers who arrive when the barber is busy. Local fire ordinances limit the total number of customers in the shop at the same time to maximum of five. Customers who arrive when the shop is full are denied entrance and their business is presumed lost. The barber's service time is exponentially distributed, but the mean changes with the number of customers in the shop. As the shop fills, the barber tries to speed service, but actually becomes less efficient, as shown in the following table: Number in Shop Mean Service Time, minute 1 9 2 10 Determine: a) the probability that the barber is idle. Answer in 4 decimal places. b) the average number of people in the shop at the same time. Answer in 3 decimal places. 3 12 4 15 5 20arrow_forwardA large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 35 calls per hour. The service rate per line is 19 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)=P(1)=P(2)=P(3)= (b) What is the probability that an agent will be denied access to the…arrow_forwardA large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 29 calls per hour. The service rate per line is 19 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0) = P(1) = P(2) = P(3) = (b) What is the probability that an agent will be denied access to the…arrow_forward
- The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour.The company’s clients request 100,000 gallons of milk over the course of one day. Thisdemand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at8 a.m. and continues to work until all of the demand has been satisfied. At noon, howmany gallons of milk are in the queue to be processed?arrow_forwardRideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?arrow_forwardFor a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table. Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1 Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00 7:02 6 2 7:08 7:12 4 3 7:11 7:16 1 4 7:13 7:19 5 5 7:18 7:25 10 6 7:36 7:39 2 7 7:40 7:44 3 8 7:45 7:48 3 9 7:49 7:52 4 10 7:55 7:57 3 Find the average service time and average delay time. Average Service Time= Average Delay Time=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