Asked by Bryson Winder on Jun 26, 2024
Verified
A queuing model which follows the M/M/1 assumptions has λ = 3 and μ = 2. The average number in the system is
A) -3.
B) 3.
C) 0.667.
D) 150%.
E) growing without limit, since λ is larger than μ.
M/M/1 Assumptions
A set of conditions that underlie the M/M/1 queue model, including that arrivals occur according to a Poisson process, service times have an exponential distribution, there is a single server, and the queue has infinite capacity.
Average Number
A statistical measure representing the central or typical value in a set of numbers, often calculated as the sum of all numbers divided by the count of numbers.
μ
The symbol commonly used to represent the mean or average in statistics and mathematics.
- Assess the average amount of entities in the system under various waiting line configurations.
- Understand the impact of the service rate and arrival rate on system utilization and queue lengths.
Verified Answer
Learning Objectives
- Assess the average amount of entities in the system under various waiting line configurations.
- Understand the impact of the service rate and arrival rate on system utilization and queue lengths.
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