d. What is the expected number of customers in the queue (Lg)?Number of customers(queue)e. What is the expected waiting time (in hours) in the queue (Wg)?Waiting time(queue) ering Enable xetproctorio.com/secured#lockdowng Enabled: Chapter 11 Queuing Model. ASavedHelpSave & ExitSubmitIn an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. If the serviceprocess is automated (resulting in no variation in service times but the same service rate), what will be the resulting performancemeasurements? (Round your answers to 3 decimal places.)a. What is the utilization?Utilization0.600b. What is the expected number of customers in the system (L)?Number of customers1.5003 decimal placesrequired.c. What is the expected waiting time (in hours) for the system (W?Waitina timelin hours)0.500l< Prey4 of 5Next >&93 #45R

Answered: d. What is the expected number of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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In a queueing system, customers arrive once every 3 hours (standard devlation = 4) and services take 2 hours (standard deviation = 6.2). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the system? customers
Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
A proposal has been presented to the government of Newfoundland and Labrador that would build a new section of highway which would provide improved access for residents of a remote coastal area near Bonavista. The highway would be 16 kilometres in length. The initial proposal called for 7 toll booths, each staffed by an employee. But a subsequent proposal recommended replacing the employees with machines. Many factors must be considered because the intended employees are unionized. However, one of the government's concerns is the effect that replacing the employees with machines will have on the times the drivers spend in the system. Customers will arrive to any one toll booth at a rate of 9 per minute. In the exact-change lanes with employees, the service time is essentially constant at 5 seconds for each driver. With machines, the average service time would still be 5 seconds, but it would be exponential rather than constant, because it takes time for the coins to rattle around in…
In an M/MA 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 answers to 3 decimal places.)
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean oftwo hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day(assume Poisson). Determine the following: ( l) The average number of customers awaiting repairs (2) System utilization (3) The amount of time during an eight-hour day that the repairman is not out on a call (4) The probability of two or more customers in the system
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson). a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) Number of customers b. Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.) Amount of time hours d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to…
Please do not give solution in image format thanku A drive-in market has one checkout counter where one employee operates the cash register. The combination of the cash register and the operator is the server in this queuing system; the customers who line up at the counter to pay for their selections form the waiting line. Customers arrive at a rate of 24 per hour according to a Poisson distribution, and service times are exponentially distributed with a mean rate of 30 customers per hour. What are the operating characteristics for this waiting line system?
In a queueing system, customers arrive once every 6 minutes (standard deviation = 7) and services take 4 minutes (standard deviation = 4,6). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the system? customers

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d. What is the expected number of customers in the queue (Lg)? Number of customers(queue) e. What is the expected waiting time (in hours) in the queue(Wg)? Waiting time(queue)