In an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 13 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.) What is the utilization? 2. What is the expected number of customers in the system (L)? 3. What is the expected waiting time (in hours) for the system (W)? 4. What is the expected number of customers in the queue(Lq)? 5. What is the expected waiting time (in hours) in the queue(Wq)?
In an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 13 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.) What is the utilization? 2. What is the expected number of customers in the system (L)? 3. What is the expected waiting time (in hours) for the system (W)? 4. What is the expected number of customers in the queue(Lq)? 5. What is the expected waiting time (in hours) in the queue(Wq)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 13 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.)
- What is the utilization?
2. What is the expected number of customers in the system (L)?
3. What is the expected waiting time (in hours) for the system (W)?
4. What is the expected number of customers in the queue(Lq)?
5. What is the expected waiting time (in hours) in the queue(Wq)?
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