Please do not give solution in image formate thanku 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 serviceprocess is automated (resulting in no variation in service times but the same service rate), what will be the resulting performancemeasurements?Note: Round all answers to three decimals.a. What is the utilization?Utilization0.714b. What is the expected number of customers in the system (L)?Number of Customersc. What is the expected waiting time (in hours) for the system (W)?Waiting Time (in hours)d. What is the expected number of customers in the queue (¹g)?Number of Customers(queue)e. What is the expected waiting time (in hours) in the queue (wa)?Waiting Time(queue)

Arrival rate of calls λ=5 customers per hourService rate μ=7 customers per hour

Answered: In an M/M/1 queueing system, the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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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/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)?
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