Asked by Tehilla Peyamipour on May 08, 2024

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In the basic queuing model (M/M/1) , service times are described by

A) binomial probability distributions.
B) negative exponential probability distributions.
C) Poisson probability distributions.
D) normal probability distributions.
E) lognormal distributions.

Negative Exponential

A statistical distribution used to model time between independent events that occur continuously at a constant average rate.

Service Times

The duration a customer has to wait before receiving a service or the time taken to deliver a service.

Poisson Distributions

A distribution in statistics showing the chances of a specified number of occurrences within a set period of time or area.

  • Identify the applications and consequences of probability distributions within the context of queuing theory.
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CG
Camila GonçalvesMay 09, 2024
Final Answer :
B
Explanation :
In the basic queuing model (M/M/1), service times are assumed to follow a negative exponential probability distribution. This means that the time between arrivals and the time spent in service follow an exponential distribution, which is a common assumption in queuing theory. The other distributions listed (binomial, Poisson, normal, and lognormal) are not typically used to model service times in this context.