Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 5DQ
Summary Introduction
To determine: The assumptions of basic single server queuing model.
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.
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5.6. Identify 10 real-life examples of queuing systems with which you are familiar.
13. Give an example of a single-phase queuing system.
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...
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- Question 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_forwardState general trade offs involved in waiting line decisions ?arrow_forwardQ2arrow_forward
- 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…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_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
- Describe the traditional cost relationship in waiting lineanalysis.arrow_forwardQuestion 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 6 Answer Question 8-10 based on the given information. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 18 customers per hour or 0.3 customers per minute. What is the mean or expected number of customers that will arrive in a ten-minute period? Question 7 Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 1, 2, and 3 customers will arrive during a ten-minute period. Note: The probabilities that exactly 0 customers will arrive during a ten-minute period is calculated for you as 0.0498. (Round your answers to four decimal places.) 1 Question 8 P(x) 0.0498 Delays are expected if more than three customers arrive during any ten-minute period. What is the probability…arrow_forward
- 8arrow_forwardQueuing model has how many types/models? 9 Models 3 Models 12 Models ✓4 Modelsarrow_forward(Q2a) Supposing that, the government of Ghana has decided to bring back the tollbooth operations and drivers using the Kasoa-Cape cost highway have to stop at the tollbooth to pay their tolls. Motorists arrive at the tollbooth at a rate of 200 per 8-hour-day. The single tollbooth attendant can serve, on average, 220 motorists per 8-hour-day. a) With your knowledge in queueing theory, how will you determinethe average minutes time a motorist waits in the queue to receiveservice at the toll and also the average number of motorists in the queuing system?arrow_forward
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