Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)
13th Edition
ISBN: 9780135225899
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter D, Problem 6P
a)
Summary Introduction
To determine: Probability that person L is busy.
Introduction: The mathematical study which analyses the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.
b)
Summary Introduction
To determine: Average waiting time of a customer before reaching the operator.
c)
Summary Introduction
To determine: Average number of calls waiting to be answered.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Question 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?
Question 8.1
The computer lab at State University has a help desk to assist students working on computer
spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help.
Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at
the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is
appropriate for the arrival rate and service times are exponentially distributed.
a) What is the average time a student is in the lab?
b) What is the average number of students in the lab?
c) What is the average number of students waiting to receive service?
d) What is the average time a student is in the queue?
e) What is the probability that there are no students at the computer lab?
f) What percentage of the time is the help desk busy?
g) What is the probability that there are exactly 2 students in the lab?
BUSI 2113 PRODUCTION AND
ATIONS MANAGEMENT
YORKVILLE
UNIV ERSI TY…
Question
An average of 17 cars per hour arrive at a single-server drive-in teller. Assume the average service time for each
customer is 4 minutes, and both interarrival times and service times are exponential. Answer the following
questions:
a. What is the mean arrival time?
b. What is the mean service time?
c. What is the probability that the teller is busy?
d. What is the average number of cars waiting in line for the teller?
e. What is the average amount of time a drive-in customer spends waiting in the parking lot?
f. What is the average number of cars in the system?
g. Describe the possible behavior of customer arrivals. Justify your answer.
Chapter D Solutions
Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)
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.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 - 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 - Prob. 18PCh. D - Prob. 25PCh. D - Prob. 26PCh. D - Prob. 27PCh. D - Prob. 28PCh. D - Prob. 29PCh. D - Prob. 30PCh. D - Prob. 31PCh. D - Prob. 33PCh. 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
- Operating Systems Question 15 What is the main disadvantage of busy waits?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_forwardQuestion 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). Nextarrow_forward
- Question The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account. Required 1. Determine the operating characteristics (P0, L, Lq, W, Wq and Pw) for this system. 2. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A.arrow_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 restaurant, customer arrival is Poisson at 12 per hour. In this restaurant, the customers do self-service. Exponentially distributed service time 5 minutes per customer. Find the average waiting time of a customer in the restaurant.arrow_forward
- QUESTION 5 A post office has a counter for customers' drive-through to get the services. The design of the drive-through lane allows for unlimited queue length. The arrival and service rate are Poisson distributed with A= 20 customers per hour arriving on average and u=25 customers per hour can be served on average. a) Compute the average number of arrivals. b) Compute the average time a customer waits. c) Compute the average number of arrivals in the system. d) Compute the average time a customer is in the system. e) Compute the probability that less than or equal to 3 customers are in the system. f) If the single counter for the customer drive-through has been replaced with the automatic operation, service rates are constant with A= 20 and u =25. Compute (a), (b), (c) and (d).arrow_forwardQUESTION 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_forwardQ4. A. Explain the concept of queue and queue theory or waiting line theory and its importance in business B. A bank has only one counter for its customers. Suppose that the customers to the bank arrive at random with exponential inter arrival time and their mean inter arrival time is 10 minutes. Suppose the counter takes on an average 15 minutes to serve the customer and this also follow an exponential distribution. a) What percentage of time the bank counter is busy? b) On the average, how many customers are in the system? c) On the average, how many customers are in the queue waiting for the service? d) How long a customer will take to be out of the service system after being served? e) How long a customer to wait before being served? f) What is the probability that there are at most three customers in the system?arrow_forward
- QUESTION 5 Regional Airlines is establishing a new telephone system for handling flight reservations. During the 10:00 AM to 2:00 PM time period, calls to the reservation agent occur randomly at an average rate of one call every 3.75 minutes. Historical service time data show that a reservation agent spends an average of 3 minutes with each customer. The waiting line model assumptions of Poisson arrivals and exponential service times appear reasonable for the telephone reservation system. At a planning meeting, Regional's management team agreed that an acceptable customer service goal is to answer at least 75% of the incoming calls immediately. During the planning meeting, Regional's vice president of administration pointed out that the data show that the average service rate for an agent is faster than the average arrival rate of the telephone calls. The vice president's conclusion was that personnel costs could be minimized by using one agent and that single agent must be able to…arrow_forward13. Give an example of a single-phase queuing system.arrow_forwardQUESTION 4 Assume that the UCC cafeteria has a single cashier. During peak hours, students arrive at a rate of 20 per hour. The average number of students that can be serviced by the cashier is 24 per hour. Calculate the following: The number of students in the cafeteria Number of students actively in the queue being served Waiting time in the cafeteria Waiting time for students in the queue What is the probability that there will be more than six students in the cafeteria or in the queue?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 EducationOperations 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 LearningProduction 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