Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter D, Problem 11P
Question
• • D.11 Bill Youngdahl has been collecting data at the TU student grill. He has found that, between 5:00 P.M. and 7:00 P.M., students arrive at the grill at a rate of 25 per hour (Poisson distributed) and service time takes an average of 2 minutes (exponential distribution). There is only 1 server, who can work on only 1 order at a time.
- a. What is the average number of students in line?
- b. What is the average time a student is in the grill area?
- c. Suppose that a second server can be added to team up with the first (and, in effect, act as 1 faster server). This would reduce the average service time to 90 seconds. How would this affect the average time a student is in the grill area?
- d. Suppose a second server is added and the 2 servers act independently, with each taking an average of 2 minutes. What would be the average time a student is in the system?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Question 8
(Atlantic Video) Atlantic Video, a small video rental store in Philadelphia, is open 24 hours a
day, and—due to its proximity to a major business school—experiences customers arriving
around the clock. A recent analysis done by the store manager indicates that there are 30
customers arriving every hour, with a standard deviation of interarrival times of 2 minutes. This
arrival pattern is consistent and is independent of the time of day. The checkout is currently
operated by one employee, who needs on average 1.7 minutes to check out a customer. The
standard deviation of this check-out time is 3 minutes, primarily as a result of customers taking
home different numbers of videos.
a. If you assume that every customer rents at least one video (i.e., has to go to the
checkout), what is the average time a customer has to wait in line before getting served
by the checkout employee, not including the actual checkout time (within 1 minute)?
b. If there are no customers requiring…
Question 4
A petrol station in the capital Kingstown has a single pump manned by one attendant.
Vehicles arrive at the rate of 20 customers per hour and petrol filling takes 2 minutes on an
average. Assume the arrival rate is Poisson probability distribution and service rate is
exponentially distributed. Arrivals tend to follow a Poisson distribution, and service times
tend to be exponential. The attendant is paid $10 per hour, but because of lost goodwill and
sales, station loses about $15 per hour of customer time spent waiting for the attendant to
service and order.
Part A
Answer the following questions based on single channel model:
a. What is the probability that no customers are in the system (Po)?!
b. What is the average number of customers waiting for service (Lq)?
c. What is the average number of customers in the system (L)?…………..
d. What is the average time a customer waits for service (Wq)?!
e. What is the average time in the system (W)?❤❤
s
f. What is the probability that a…
Question 9
In Littlefield Labs, each order is processed at three stations before being completed and
sent to customers. Suppose at the peak demand (i.e., after 180 days in the game) the
flow rate is 10 orders per day. And the average inventory at station 1, station 2 and
station 3 are 72, 65 and 70 kits, respectively (these include kits being processed as well
as those in queues).
What is the average lead time (in hours) o complete an order? Please specify your
answer in at least 2 decimal points. (Remember 1 order has 60 kits, each day has 24
hours).
Next
Chapter D Solutions
Operations Management
Ch. D - Prob. 1DQCh. D - Prob. 2DQCh. D - Question 3. Name the three factors that govern the...Ch. D - Prob. 4DQCh. D - Prob. 5DQCh. D - Prob. 6DQCh. D - Prob. 7DQCh. D - Prob. 8DQCh. D - Prob. 9DQCh. D - Question 10. Describe the behavior of a waiting...
Ch. D - Question 11. Discuss 1he likely outcome of a...Ch. D - Prob. 12DQCh. D - Prob. 13DQCh. D - Prob. 14DQCh. D - Question 15. What happens if two single-server...Ch. D - Prob. 16DQCh. D - Prob. 17DQCh. D - Prob. 1PCh. D - Prob. 2PCh. D - Question D.3 Paul Fenster owns and manages a...Ch. D - Prob. 4PCh. D - Prob. 5PCh. D - Prob. 6PCh. D - Question D.7 Automobiles arrive at the...Ch. D - Question D.8 Virginias Ron McPherson Electronics...Ch. D - Question D.9 Neve Commercial Bank is the only...Ch. D - Question D.10 Beate Klingenberg manages a...Ch. D - Question D.11 Bill Youngdahl has been collecting...Ch. D - Question D.12 The wheat harvesting season in the...Ch. D - Prob. 13PCh. D - Prob. 14PCh. D - Prob. 15PCh. D - Prob. 16PCh. D - Prob. 17PCh. D - Prob. 18PCh. D - Question D.19 One mechanic services 5 drilling...Ch. D - Prob. 20PCh. D - Prob. 21PCh. D - Prob. 22PCh. D - Prob. 23PCh. D - Prob. 24PCh. D - Question New England Foundry For more than 75...Ch. D - Prob. 1.2CSCh. D - New England Foundry For more than 75 years, New...Ch. D - Question The Winter Park Hotel Lori Cook, manager...Ch. D - Question The Winter Park Hotel Lori Cook, manager...
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
- Question in imagearrow_forwardQuestion 3 [Soalan 31 Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per hour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. [Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu sibuk…arrow_forwardQ.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.arrow_forward
- QUESTION 10 MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a Poisson distribution, and service times are on average equal to 16 minutes per customer. What is the number of customers waiting in the queue on average? O&1.333 Ob.4.0 Oc.0.952 Od32 O.0.152arrow_forwardQuestion 5 Gorsuch Law Firm has two paralegals. Customers arrive randomly at an average rate of 8 customers per hour and a standard deviation in interarrival times of 5 minutes. Service times have a mean of 8 minutes and a standard deviation of 10 minutes. What is the total time a customer spends in the system? O 7.5 minutes 11.5 minutes 3.5 minutes 83%arrow_forwardQuestion related to queing theory don't copy In a tool crib, workers come to take tools at 6 per hour on the average. Waiting for them costs Rs. 12 per hour. The service time per worker is in the tool crib is 12 minutes. What will be total waiting cost of the workers per day if it is 8 hours a day? Assume M/M/1 queuing system.arrow_forward
- Question 1 Imagine you're tasked with creating a digital model for a warehouse that handles four different products. The process begins with each product arriving at a temporary waiting area before moving to one of four inspection machines. After inspection, the products proceed to a scanning station and then are transported to one of four storage racks. Products arrive at an average rate of one every 12 seconds (following an exponential distribution). The inspection machines have an average processing time of 6 seconds (also exponentially distributed), while scanning each product takes a fixed time of 4 seconds. The simulation will run for a total of 50,000 seconds, with a queue capacity of 10,000. Build a digital model of this workflow in FlexSim and analyze the output results. Begin by describing the entire process and outlining the layout in FlexSim. Include screenshots of the settings for the Queue, Source, and Processors. Finally, provide key output data, including the state…arrow_forwardQuestion 8.2 A fabric factory has 5 weaving machines in use. These weaving machines need repair after about 20 hours of use. Breakdowns have been determined to be Poisson distributed. Jim, the maintenance worker can service a weaving machine in an average of 2 hours, following an exponential distribution. Weaving machine downtime costs $120 per hour. Jim is paid $25 per hour. a) What is the average time a weaving machine is waiting to be repaired? b) What is the average number of weaving machines in the repairing area? c) What is the total hourly costs?arrow_forwardQuestion related to queing theory don't copy In a single server tool-crib, mechanics come to take spares at 6 per hour on the average. Waiting for them costs Rs. 10 per hour. Average waiting time for a mechanic in the system is W'. What will be total waiting cost of the mechanics in a day for an 8 hour day?arrow_forward
- Question related to gueing theory don't copy Machines fail at 4 per hour and the cost of non-productive machine is Rs. 282 per hour. A repairman charges Rs. 100 per hour and repairs at 7 per hour. What will be the total queuing costs per hour? Assume M/M/1 queuing system.arrow_forwardQuestion 2 an estimate of the number of times a customer wanted a The Texas Gladiators won the Super Bowl last year. As a cap when it was not available but did not aşk for it.) result, sportswear such as hats, sweatshirts, sweat- pants, and jackets with the Gladiator's togo are popular. The Gladiators operate an apparel store outside the foot- ball stadium. It is near a busy highway, so the store has heavy customer traffic throughout the year, not just on game days. In addition, the stadium has high school or Week Demand Week Demand Week Demand 1 38 11 28 21 52 2 51 12 41 22 38 3 25 13 37 23 49 4 60 14 44 24 46 college football and soccer games almost every week in the fall, and baseball games in the spring and summer. The most poputar single item the stadium store sells is a red and silver baseball-style cap with the Gladiators' logo on it. The cap has an elastic headband inside it, which conforms to different head sizes. However, the store has 5 35 15 45 25 47 42 16 56 26 41 29 17 62…arrow_forwardQuestion 3) Waiting Line Analysis Helen runs a small shop where she provides a service. She is able to process an average of 8 customers per hour. An average of 5 customers per hour seek this service at her shop. What is: a) the probability that Helen will not be working with a customer (no customers) when the shop phone rings? b) the probability of 4 customers in the system? c) the average time a customer spends waiting in line (in minutes)?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,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.
Inventory Management | Concepts, Examples and Solved Problems; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=2n9NLZTIlz8;License: Standard YouTube License, CC-BY