OPERATIONS MANAGEMENT W/ CNCT+
12th Edition
ISBN: 9781259574931
Author: Stevenson
Publisher: MCG CUSTOM
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 18, Problem 2CTE
a)
Summary Introduction
To determine: Reasons doubling the service rate of single-server system would cut the average waiting time in line in half.
Introduction: A waiting line system, otherwise called a queuing or lining system. It is one of the most seasoned and most generally utilized quantitative investigation systems. Waiting lines are an ordinary event, influencing individuals looking for foodstuffs, purchasing fuel, influencing a bank to store, or looking out for the phone for the most readily accessible carrier reservationist to reply.
b)
Summary Introduction
To determine: Impact on the average number waiting in line.
c)
Summary Introduction
To determine: Managerial implications on the analysis.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider this situation: A manager is contemplating making changes to a single-server system that is expected to double the service rate, and still have just one server. (a). Would you (intuitively) think that doubling the service rate of a single-server system would cut the average waiting time in line in half? (b). For the sake of analysis, suppose the current system has an arrival rate of 8 customers per hour and a service rate of 10 customers per hour. If the service rate is doubled, what impact will that have on the average number waiting in line? (c). What are some managerial implications of your analysis?
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server.
a. How long in minutes would it take the customer from lining up until he leaves the waiting line?
b.How long in minutes would a customer wait to be served on average?
c.Find the probability that there are 7 customers in the system.
A single server queuing system has an average service time of 10 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 10 minutes. The average arrival rate will remain the same. The effect will be to:
Select one:
a.
increase utilization.
b.
decrease utilization.
c.
not have any effect since the service time is unchanged.
d.
increase the average waiting time.
e.
decrease the average waiting time.
Chapter 18 Solutions
OPERATIONS MANAGEMENT W/ CNCT+
Ch. 18 - Prob. 1DRQCh. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQCh. 18 - Prob. 4DRQCh. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQCh. 18 - Prob. 7DRQCh. 18 - Prob. 8DRQCh. 18 - Prob. 9DRQCh. 18 - Prob. 1TS
Ch. 18 - Prob. 2TSCh. 18 - Prob. 3TSCh. 18 - Prob. 1CTECh. 18 - Prob. 2CTECh. 18 - Prob. 3CTECh. 18 - The owner of Eat Now Restaurant implemented an...Ch. 18 - Prob. 5CTECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A priority waiting system assigns arriving...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 1CQ
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
- Consider this situation: A manager is contemplating making changes to a single-server system thatis expected to double the service rate, and still have just one server.a. Would you (intuitively) think that doubling the service rate of a single-server system would cutthe average waiting time in line in half?arrow_forward12-11 The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ=3 per day (approximately Poisson in nature). The crew can service an average of μ=8 machines per day, with a repair time distribution that resembles the exponential distribution. a. What is the utilization rate of this service system? b. What is the average downtime for a machine that is broken? c. How many machines are waiting to be serviced at any given time? d. What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?arrow_forwardCustomers in a small retail store arrive at the single cashier on average every 6 minutes. The average service time for the cashier is 5 minutes.Arrivals tend to follow a Poisson distribution, and service times follow anexponential distribution. We need to analyze this waiting-line system.(a) What is the average utilization of the cashier?(b) What is the average number of customers in the system?(c) What is the average number of customers in the line?(d) What is the average time spent in the system?(e) What is the average time spent in line?(f) The owner feels that if there are more than 5 customers at the cashier(waiting in the line and being served), we induce ill-will in our customers, and they will not return. What is the probability that there willbe more than 5 customers in the system?(g) Should the retail store consider creating a secondarrow_forward
- 7. Consider a bank where potential customers arrive atrate of 60 customers per hour. However, because oflimited space, one out of every four arriving customersfinds the bank full and leaves immediately (withoutentering the bank). Suppose that the average numberof customers waiting in line in the bank is 3.5. Howlong will a typical entering customer have to wait inline? (Hint: In Little’s formula, l refers only to customers who enter the system.)arrow_forwardWaiting Line ApproximationLet’s consider an example of a call center that takes orders for a mail-order business. During the peak period, the average time between call arrivals (¯X a ) is 0.5 minutes with a standard deviation (Sa) of 0.203 minutes. The average time to service a call (¯ X s ) is 4 minutes and the standard deviation of the service time (Ss) is 2.5 minutes. If the call center is using nine operators to service calls, how long would you expect customers to wait before being serviced? What would be the impact of adding an additional operator?arrow_forwardThe manager of a large group of employees must decidewhether she needs another photocopying machine. Thecost of a machine is $40 per eight-hour day regardlessof whether the machine is in use. On average, fourpeople need to use the copying machine per hour. Eachperson uses the copier for an average of 10 minutes.Interarrival times and copying times are exponentiallydistributed. Employees are paid $8 per hour, and weassume that a waiting cost is incurred when a worker iswaiting in line or is using the copying machine. Howmany copying machines should be rented?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,