In a queueing system, customers arrive once every 5 hours (standard deviation = 5) and services take 3 hours (standard deviation= 6.5).(Do not round intermediote calculations. Round your anower to three decimal places.)What is the average number of customers in the system?customers

Queueing systems are worked on numerical models to make sense of clogs. In general, queueing…

Answered: na queueing system, customers arrive…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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

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Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day isalways on Sunday. From the previous data, Ali Baba estimates that dirty carsarrive at the rate of one every two minutes. One car at a time is cleaned in thisexample of a single-channel waiting line. Assuming Poisson arrivals andexponential service times, find the following: a) Compute the average number of cars in line.
Please do not give solution in image format thanku Average Arrival Rate (Ri) 20 Customers/Hr Arrival Standard Deviation is 2 customers/hr Average Processing Time 12 minutes Process Time Standard Deviation 3 minutes 5 Servers 1) What is Server Utilization? 2) Average Queue Length?
Consider a Poisson queue with random arrivals at the rate of 12 customers per hour and the following steady- state probabilities: po = 1/3, p1 = 1/2, p2 = 1/6, and p, = 0 for n = 3,4,5, ... . What is the mean (or effective) arrival rate in customers per hour for this queuing system? Consider drawing a rate diagram to assist in your solution. O 10 12 O none of the other choices O 2
4.) The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. a.) What percentage of the total available service time is being used? b.) Due to Covid restrictions, only two customers are allowed in the office at the same time. What percent of the time will there be customers waiting outside?
please dont answer in image format. Do type Thnks

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na queueing system, customers arrive once every 5 hours (standard deviation = 5) and services take 3 hours (standard deviation -6.5). (Do not round intermediate calculations. Round your answer to three decimal places) customers What is the average number of customers in the system?