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- . A computer server experiences large fluctuations in the amount of data requests itreceives throughout the day. Because of this variation, Little’s Law does not apply. Trueor false?Which of the following cost estimates and the performance measures are used for economic analysis of a queuing system? Average waiting time of customers in the system Unit service rate is faster than arrival rate Average queue time in the system Average number of customers in the systemIn the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the average waiting time of a customer (both in Queue and System)? ✓ Queue - 225 Sec, System - 125 Sec Queue - 125 Sec, System - 225 Sec Queue - 250 Sec, System - 325 Sec Queue - 250 Sec, System - 400 Sec
- A server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minuteFirms that desire high service levels where customers have short wait times should target server utilization levels at no more than this percentage.Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/unloading rate is 19 per day. What is the probability that the truck dock will be idle? What is the average number of trucks waiting for service? What is the average time a truck waits for the loading or unloading service? What is the probability that a new arrival will have to wait? What is the probability that more than three trucks are waiting for service?
- Given the following Operating Characteristics from a queuing model with time units specified in hours, answer the five questions: Po = 0.4000 Lq = 0.9000 L = 1.5000 Wq = 0.2000 W = 0.3000 Pw = 0.6000 What is the average time, in minutes, a customer waits in line before being served? What is the average time, in minutes, a customer spends waiting and being served? What is the average number of customers in the system? What is the probability that there are no customers in the system? If the system serves a customer every 4 minutes, what is the service rate?In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 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? What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________.
- Please show in excel. The template is provided in the image. This is for a two-server system, not one. The Burger Dome is a fast-food restaurant that is currently appraising its customer service. In its current operation, an employee takes a customer’s order, tabulates the cost, receives payment from the customer, and then fills the order. Once the customer’s order is filled, the employee takes the order of the next customer waiting for service. Assume that time between each customer’s arrival is an exponential random variable with a mean of 1.35 minutes. Assume also that the time for the employee to complete the customer’s service is an exponential random variable with mean of 1 minute. Use the BurgerDome.xlsx template to complete a simulation model for the waiting line at Burger Dome for a 14-hour work day. Using the summary statistics gathered at the bottom of the spreadsheet model, answer the following questions. What is the average wait time experienced by a customer?…A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes inProctoring Enabled: Chapter 11 Queuing Models Ex. Saved Help Save & Exit Submit 1 In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 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) Mc Graw Hill Prev 1 of 5 Next > ASUS