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)
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A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: a. What is the utilization? Utilization b. What is the expected number of customers in the system…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
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Q: a. What is the utilization? Utilization b. What is the expected number of customers in the system…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
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- In an M/MA queueing system, the arrival rate is 5 customers per hour and the service rate is 9 customers per hour. If the service process is automated (resulting in no varlation 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? Ubization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected walting time (in hours) for the system (W? Waiting timetin nours)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.) a. What is the utilization? UtilizationIn 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.) 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)
- 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? (Round all answers to three decimals.) 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)?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.) d. What is the expected number of customers in the queue (Lq)? Number of customers (queue) e. What is the expected waiting time (in hours) in the queue (Na)? Waiting time (queue)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? (Round all answers to three decimals.) 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)?
- In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 customers per hour. a. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (2)? (Round your answer to 3 decimal places.) Expected number of customers c. What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimalIn an M/MA queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. 0. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) Expected number of customers c. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.) Expected waitng timeIn an M/MA queueing system, the arrival rate is 6 customers per hour and the service rate is 8 customers per hour. a. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) Expected number of customers c. 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 time
- 5. 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 inSingle server system has customer arrival rate of 60 customers per minute and a service rate of 75 customers per minute. Customer arrival pattern is finite and they won't leave till they are served. The Arrival and Service patterns, both are exponential distribution. Based on the above information calculate a. Server utilization% b. Average numbers of customers in line C. Average time per customer in Line d. Average numbers of customers in system e. Average time per customer in Systemc) i. If an M/M/1 queue has utilization of 90%, what do you think will be the average queue length and the average response time? If the arrival rate is 100 jobs per secondii. If an M/D/1 queue has utilization of 80% do you expect its mean queue length and response time to be less, same, or greater than that of an M/M/1? Explain your answer.