Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 3.1Q
Summary Introduction
Interpretation:The minimum number of cash lanes that should be open during each of the three traffic conditionsneeds to be determined.
Concept Introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
At the Strathmore University Cafeteria, students seeking to have a meal are observed to arrive at a rate of 16 every 20 min. The service personnel at the cafeteria serve the students at a rate of 19 evevry 20 min.
required:
Assuming M/M/1 setup, deduce
a) the traffic intensity of the strathmore cafeteria
b) the probability of having no students in the queue
c) The probability of having more than 5 students in the system
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
Chapter 5 Solutions
Practical Operations Management
Ch. 5 - Prob. 1DQCh. 5 - Prob. 2DQCh. 5 - Prob. 3DQCh. 5 - Prob. 4DQCh. 5 - Prob. 5DQCh. 5 - Prob. 6DQCh. 5 - Prob. 7DQCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3P
Ch. 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 - Prob. 12PCh. 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 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 1.1QCh. 5 - Prob. 1.2QCh. 5 - Prob. 1.3QCh. 5 - Prob. 1.4QCh. 5 - Prob. 2.1QCh. 5 - Prob. 2.2QCh. 5 - Prob. 2.3QCh. 5 - Prob. 3.1QCh. 5 - Prob. 3.2QCh. 5 - Prob. 3.3QCh. 5 - Prob. 3.4Q
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
- Indicate the fundamental assumptions underlying the single channel queuing model?arrow_forward12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Determine the operating characteristics of this loading gate problem. What is the probability that there will be more than three trucks either being loaded or waiting? Discuss the results of your queuing model computation.arrow_forwardJuhn and Sons Wholesale Fruit Distributors employ one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Determine the operating characteristics of this loading gate problem. What is the probability that there will be more than three trucks either being loaded or waiting? Discuss the results of your queuing model computation.arrow_forward
- The First American Bank of Rapid City has one outside drive-up teller. It takes the teller an average of 4 minutes to serve a bank customer. Customers arrive at the drive-up window at a rate of 12 per hour. The bank operations officer is currently analyzing the possibility of adding a second drive-up window, at an annual cost of $20,000. It is assumed that arriving cars would be equally divided between both windows. The operations officer estimates that each minute’s reduction in customer waiting time would increase the bank’s revenue by $2,000 annually. Should the second drive-up window be installed?arrow_forwardis queuing theory Five drilling machines at Al Hamriya steel is maintained by Lumina maintenance service with 2 service Engineers. The drilling machines require Maintenance at the of 20 per hour. The engineers fix machine in 2.4 mins every time it goes out of service: 1. What is the probability that no drilling machine needs service ?arrow_forwardDuring registration at State University every semester, students in the college of business must have their courses approved by the college adviser. It takes the adviser an average of 2 minutes to approve each schedule, and students arrive at the adviser’s office at the rate of 28 per hour. the dean of the college of business at State University is considering the addition of a second adviser in the college advising office to serve students waiting to have their schedules approved. This new adviser could serve the same number of students per hour as the present adviser. Determine L, Lq,W, and Wq for this altered advising system. As a student, would you recommend adding the adviser?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,