Virtual Labs

Physical Sciences Queuing Theory and Modelling Experiments

Aim

Theory

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Procedure

Simulation

Posttest

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Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

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

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What does 'c' represent in the M/G/c/N queueing system?

a: Arrival rate of customers Explanation

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b: Number of servers in the system Explanation

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c: Maximum number of customers allowed in the system Explanation

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d: Service rate of the server Explanation

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How does the M/G/c/N model differ from the M/M/c/N model?

a: The service process in M/G/c/N has general distribution, while it's exponential service process in M/M/c/N. Explanation

Explanation

b: Both models use the same service distribution. Explanation

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c: M/G/c/N model allows for a finite capacity, while M/M/c/N model has infinite capacity. Explanation

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d: M/G/c/N model has a deterministic arrival pattern, while M/M/c/N model has a random arrival pattern. Explanation

Explanation

What happens in an M/G/c/N queue when the number of customers exceeds 'N'?

a: Additional servers are added to handle the overflow. Explanation

Explanation

b: Excess customers are served immediately. Explanation

Explanation

c: New arrivals are rejected, resulting in system overflow. Explanation

Explanation

d: The service rate increases to accommodate the excess customers. Explanation

Explanation

How does the utilization factor 'ρ' affect the performance of an M/G/c/N queue?

a: Higher ρ leads to lower average waiting times. Explanation

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b: Lower ρ leads to higher system stability. Explanation

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c: ρ does not affect the performance of the system. Explanation

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d: Higher ρ leads to higher probabilities of queue overflow. Explanation

Explanation

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