What is the answer in this number 3? ctoring Enabled: Chapter 11 Queuing Models E.. ASavedHelpSave & Exitc. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.)Expected waiting timed. What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.)Expected number of customerse. What is the expected waiting time in the queue(wg)? (Express the waiting time in hours, round your answer to 3 decimal places.)Expected waiting timeMcGrawHill< Prev3 of 5Next > Proctoring Ehabled: Chapter 11 Queuing Models E...SavedHelpSaveIn an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 7 customers per hour.a. What is the utilization? (Round your answer to 3 decimal places.)Utilizationb. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.)Expected number of customersc. What is the expected waiting time in the system (WM? (Express the waiting time in hours, round your answer to 3 decimal places.)Expected waiting time< Prev3 of 5Next >McGrawHill

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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In a M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 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 ansers to 3 decimal places) a. What is the utilization? b. What is the expected number of customers in the system (L)? c. What is the expected waiting time (in hours) for the system (W)? d. What is the expected number of customers in the queue (Lq)? e. What is the expected waiting time (in hours) in the queue (Wq)?
A printing shop receives an average of 1 order per day.The average length of time required to complete an orderis .5 day. At any time, the print shop can work on at mostone job.a On the average, how many jobs are present in theprint shop?b On the average, how long will a person who placesan order have to wait until it is finished?c What is the probability that an order will be finishedwithin 2 days of its arrival?
. A manager must determine requirements for waiting space for customers. A priority system isused to process customers, who are assigned to one of two classes when they enter the processingcenter. The highest-priority class has an arrival rate of four per hour; the other class has an arrivalrate of two per hour. Both can be described as Poisson-distributed. There are two servers, andeach can process customers in an average of 15 minutes.a. What is the system utilization?b. Determine the number of customers of each class that are waiting for service.c. Determine the average waiting time for each class.d. If the manager could alter the assignment rules so that arrival rates of the two classes wereboth 3/hour, what would be the revised average waiting time for each priority class?
In a M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 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 ansers to 3 decimal places) a. What is the expected number of customers in the queue (Lq)? b. What is the expected waiting time (in hours) in the queue (Wq)?
A priority waiting system assigns arriving customers to one of four classes. Arrival rates (Poisson) of the classes are shown in the following table. Five servers process the customers, and eachcan handle three customers per hour.a. What is the system utilization?b. What is the average wait for service by customers in the various classes? How many are waiting in each class, on average?c. If the arrival rate of the second priority class could be reduced to three units per hour by shifting some arrivals into the third priority class, how would your answers to part b change?d. What observations can you make based on your answers to part c?
The check-out area of a grocery store has the average customer interarrival time = 2 minutes, the average processing time of each cashier = 6 minutes, and in total 4 cashiers. The average waiting time for each customer is 8 minutes. What is the average number of customers in the system (including waiting and using the service)? a 3 b 7 c 6 d 4
In an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (round your answer to 3 decimal places) b. What is the expected number of customers in the system (L)? (round your answer to 3 decimal places) c. What is the expected waiting time in the system (W)? (express the waiting time in hours, round your answer to 3 decimal places) d. What is the expected number of customers in the queue (Lq)? (round your answer to 3 decimal places) e. What is the expected waiting time in the queue (Wq)? (express the waiting time in hours, round your answer to 3 decimal places)
Angkut Deras Hauling Company has two long-trip cars rental servicesinclusive with a driver at Kota Kinabalu International Airport. The companyhas determine during the late-evening hours on weekend, customersrequest driver for cars rental at a rate that follows the Poisson distributionwith a mean of 0.8 per hour. Travel and assistance time is exponential witha mean of 1 request per hour. Find each of the performance measures ofthis waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company?b) Probability that both drivers will be busy when a customer request.c) The average number of customer waiting in line.d) The average time customers wait for a driver.e) What is the customers average waiting time on arrival?
8. The 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 distributionthat has a mean of five minutes. A clerk can handle requests at a rate of 15 per hour, andthis can be modeled by a Poisson distribution that has a mean of 15. Suppose there are two clerksat the counter.a. On average, how many mechanics would be at the counter, including those being served?b. What is the probability that a mechanic would have to wait for service?c. If a mechanic has to wait, how long would the average wait be?d. What percentage of time are the clerks idle?e. If clerks represent a cost of $20 per hour and mechanics a cost of $30 per hour, what numberof clerks would be optimal in terms of minimizing total cost?
Consider a single server queuing system. The system starts at time t=0. The arrival time of customers is: 0.8, 1.4, 2.7, 3.2, 3.8, 8.0, 8.6, 9.0, 9.2, and 9.8. The departure times are: 2.2, 4.0, 5.0, 6.2, and 10.0. Time is in minutes. The first in first out queuing discipline is followed. Simulate this system for six clients and estimate:i) The average delay in the waiting line ii) The average number of clients in the waiting line at any time t iii) The expected utilization of server.
Chapter 5. (M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called DataWish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each data unit for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (ρ) % Performance Measures P0 (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the system) weeks Wq (average time in the queue) weeks c. If we assign a cost of waiting as $400 per week per data unit and $800 per…
At an airport if an international flight get delayed inordinately, what should be the reaction of airport staff towards waiting customers? a. Do not bother b. Provide comfortable waiting area and provide free snacks, lunch / dinner etc c. Talk to customers and explain about delays d. Hand over cash discount to waiting passengers

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