Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 18, Problem 8P
a.
Summary Introduction
To determine: The average number of mechanics at counter those being served.
b.
Summary Introduction
To determine: The probability that mechanics will have to wait.
c.
Summary Introduction
To determine: How long mechanics will have to wait.
d.
Summary Introduction
To determine: The percentage of idle time.
e.
Summary Introduction
To determine: The optimal number of clerk minimizing total cost.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A self-service store employs one cashier at its counter. Nine customers 'arrive on an average
every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson
distribution for arrival rate and exponential distribution for service time, find
1. Average number of customers in the system.
2. Average number of customers in the queue or average queue length.
3. Average time a customer spends in the system.
4. Average time a customer waits before being served.
A.1
Let a queuing system have the Kendall model (M/M/1) : (GD/infinity/infinity). Assume A < µ. Does W, for the
service discipline FIFO equal W, for the service discipline SIRO?
O I have no idea.
no
yes
It cannot be determined.
In modeling a waiting line problem, 1/ μ and 1/ λ represent the mean values of:
a. Arrival time and service rate respectively (i.e. in that order).
b. Inter-arrival time and service time respectively.
c. Service time and inter-arrival time respectively.
d. Wait time and queue time respectively.
Chapter 18 Solutions
Operations Management
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
- Many of a bank's customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Polsson distribution. Each customer spends an average of 85 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, Including waiting in line and completing transactions. (Do not round Intermediate calculations. Round your answer to the nearest whole number.) Average time |minutes b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. (Round your answer to 2 decimal places.) Probability c. Determine the average number of customers waiting to use the machine. (Round your answer to 2 decimal places.) Average number customersarrow_forwardA horologist (watchmaker) is typically able to service a mechanical watch in about 120 minutes (exponential distribution). Assuming an 8 hour work-day, the watchmaker averages 3 customers arriving at his shop every day following a poisson distribution. The watchmaker just purchased a new machine that will polish the dial and crystal reducing his service time by 20 minutes per watch. How much will the line for a watch waiting to be serviced be reduced by the watchmaker using this new machine, assuming no increase in customer demand? O 2.25 watches waiting for service O The number waiting to be serviced will be reduced by about 1.2 watches O The number waiting to be serviced will be reduced by about 0.4 watches The number waiting to be serviced will be reduced by about 1.45 watchesarrow_forwardTrucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crewconsisting of two workers can load a truck in about 30 minutes. Crew members receive $10 perhour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucksper hour. Assume rates are Poisson.a. Would the third crew member be economical?b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour?arrow_forward
- In queuing theory and modeling, if 1/μ represents mean service time. Whatdoes μ represent? Service rateInterarrival time Arrival rate Nonearrow_forwardIn a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services take 2 seconds (standard deviation = 4.3). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in seconds)? secondsarrow_forwardThe two basic modeling approaches for queuing systems are optimization and simulation. a) True b) Falsearrow_forward
- Consider a bank where potential customers arrive at rate of 60 customers per hour. However, because of limited space, one out of every four arriving customers finds the bank full and leaves immediately (without enteringthe bank). Suppose that the average number of customers waiting in line in the bank is 3.5. How long will a typical entering customer have to wait in line? (Hint: In Little’s formula, l refers only to customers who enter the system.)arrow_forwardThe parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution. Customers arrive at a rate of 12 per hour. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution Clerks cost $25 per hour and mechanics cost $25 per hour. Use Table 18-4. a. Determine the cost of capacity and waiting if the parts department hires 2, 3 or 4 clerks. (Round Ls to 3 decimals. Round costs to 2 decimals.) Average number of mechanics in system (Ls) Cost for clerks per Mechanic cost Number of clerks (M) Total cost per hour hour per hour 2 3 4 b. Based on your response in part a, how many clerks should be hired? Number of clerksarrow_forwardMany of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 98 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line and completing transactions. (Do not round intermediate calculations. Round your answer to the nearest whole number.) b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. (Round your answer to 2 decimal places.) c. Determine the average number of customers waiting to use the machine. (Round your answer to 2 decimal places.)arrow_forward
- In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours) d. What is the expected number of customers in the queue(La)? < Prev 2 of 5 Next raw lillarrow_forwardPlease do not give solution in image format thankuarrow_forwardIn a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 5.5). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in minutes)? minutesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
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,