Asked by Cassie Trucchio on Jun 09, 2024
Verified
A queuing model which follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________.
A) 3; 100%
B) 0.33; 25%
C) 4; 33%
D) 6; 25%
E) 4; 25%
M/M/1 Assumptions
The basic hypotheses underpinning the M/M/1 queue model, including assumptions of a single server, Poisson arrival rates, and exponentially distributed service times.
Average Number
A mathematical concept representing the sum of values divided by the number of values.
Utilization
Refers to the extent to which a resource, such as equipment or workforce, is being used effectively in a production process.
- Compute the average count of entities in the system when applying different queueing theories.
- Assess service and utilization factors across finite and infinite demographic models.
- Perceive the relationship between the rate of service and rate of arrival on the functionality of the system and the lengthiness of queues.
Verified Answer
Learning Objectives
- Compute the average count of entities in the system when applying different queueing theories.
- Assess service and utilization factors across finite and infinite demographic models.
- Perceive the relationship between the rate of service and rate of arrival on the functionality of the system and the lengthiness of queues.
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