Virtual Labs

Finite capacity multi-server queue with general distributed arrivals and exponential service (GI/M/c/N)

What is the significance of the average waiting time in evaluating the performance of a GI/M/c/N queueing system?

a: It measures the average time a customer spends in the queue. Explanation

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b: It represents the maximum waiting time experienced by any customer in the system. Explanation

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c: It indicates the average time a server spends idle between serving customers. Explanation

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d: It measures the variability in waiting times across different customers in the system. Explanation

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Why is the utilization of servers an essential performance measure in a GI/M/c/N queueing system?

a: High server utilization ensures shorter waiting times for customers. Explanation

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b: Server utilization directly correlates with system stability. Explanation

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c: Low server utilization indicates efficient use of resources. Explanation

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d: Server utilization reflects the fraction of time servers are busy serving customers. Explanation

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What does the queue length represent as a performance measure in a GI/M/c/N queueing system?

a: The average number of customers in the system waiting to be served. Explanation

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b: The maximum number of customers the system can accommodate simultaneously. Explanation

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c: The variability in waiting times experienced by different customers. Explanation

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d: The fraction of time servers are busy serving customers. Explanation

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Why is the system throughput considered a critical performance measure in the GI/M/c/N queueing system?

a: It measures the average service time experienced by customers in the system. Explanation

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b: System throughput directly correlates with server utilization. Explanation

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c: High system throughput ensures efficient resource utilization and customer service. Explanation

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d: System throughput indicates the maximum number of customers the system can serve simultaneously. Explanation

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