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In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? Note: Round your answers to 3 decimal places. a. What is the utilization? Utilization Answer is complete and correct. 0.500 b. What is the expected number of customers in the system (L)? Answer is complete but not entirely correct. Number of customers 1.000X c. What is the expected waiting time (in hours) for the system (W)? Answer is complete but not entirely correct. Waiting time (in hours) 0.333 X

In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? Note: Round your answers to 3 decimal places. a. What is the utilization? Utilization Answer is complete and correct. 0.500 b. What is the expected number of customers in the system (L)? Answer is complete but not entirely correct. Number of customers 1.000X c. What is the expected waiting time (in hours) for the system (W)? Answer is complete but not entirely correct. Waiting time (in hours) 0.333 X

Advanced Engineering Mathematics
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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**Week Question: 13-04 In an M/M/1 Queueing System** In an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? **Note:** Round your answers to 3 decimal places. --- **a. What is the utilization?** - **Utilization:** 0.500 - **Answer:** Complete and correct. **b. What is the expected number of customers in the system (L)?** - **Number of customers:** 1.000 - **Answer:** Complete but not entirely correct. **c. What is the expected waiting time (in hours) for the system (W)?** - **Waiting time (in hours):** 0.333 - **Answer:** Complete but not entirely correct. --- The image contains three questions related to an M/M/1 queueing system. Each part provides a calculation related to utilization, the expected number of customers, and expected waiting time, with feedback on the completeness and correctness of the solutions.
Transcribed Image Text:**Week Question: 13-04 In an M/M/1 Queueing System** In an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? **Note:** Round your answers to 3 decimal places. --- **a. What is the utilization?** - **Utilization:** 0.500 - **Answer:** Complete and correct. **b. What is the expected number of customers in the system (L)?** - **Number of customers:** 1.000 - **Answer:** Complete but not entirely correct. **c. What is the expected waiting time (in hours) for the system (W)?** - **Waiting time (in hours):** 0.333 - **Answer:** Complete but not entirely correct. --- The image contains three questions related to an M/M/1 queueing system. Each part provides a calculation related to utilization, the expected number of customers, and expected waiting time, with feedback on the completeness and correctness of the solutions.
**Queue Analysis Questions** **d. What is the expected number of customers in the queue (Lq)?** - Answer: The submitted answer indicates that the expected number of customers in the queue is 0.500. However, it is noted that the answer is complete but not entirely correct. **e. What is the expected waiting time (in hours) in the queue (Wq)?** - Answer: The submitted answer indicates an expected waiting time of 0.167 hours in the queue. Similarly, this answer is complete but not entirely correct. **Explanation:** The questions relate to queuing theory, focusing on calculating the expected number of customers in a queue and their waiting time. The answers are partially correct, suggesting a need for further refinement or error checking in the calculations.
Transcribed Image Text:**Queue Analysis Questions** **d. What is the expected number of customers in the queue (Lq)?** - Answer: The submitted answer indicates that the expected number of customers in the queue is 0.500. However, it is noted that the answer is complete but not entirely correct. **e. What is the expected waiting time (in hours) in the queue (Wq)?** - Answer: The submitted answer indicates an expected waiting time of 0.167 hours in the queue. Similarly, this answer is complete but not entirely correct. **Explanation:** The questions relate to queuing theory, focusing on calculating the expected number of customers in a queue and their waiting time. The answers are partially correct, suggesting a need for further refinement or error checking in the calculations.
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