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Operations Research Queuing Theory
Model #2: M/M/m

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Home └Operations Research Queuing Theory └Model #2: M/M/m

Operations Research Queuing Theory

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Introduction to Queuing Theory
- Introduction to Queuing Theory 10 xp
  - Quiz
M/M/1
- Model #1: M/M/1 10 xp
  - Quiz
- M/M/1 POM-QM Method
M/M/m
- Model #2: M/M/m 10 xp
  - Quiz
- M/M/m POM-QM Method
M/D/1
- Model #3: M/D/1 Method 10 xp
  - Quiz
- M/D/1 POM-QM Method
M/M/1 with Finite Source
- Model #4: M/M/1 with Finite Source 10 xp
  - Quiz
- M/M/1 with Finite Source POM-QM Method

Model #2: M/M/m

10 XP

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queuing queue queuing theory M/M/m

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1. Question 1: What does the M/M/m model represent in queuing theory?

A) A single-server system with exponential service times B) A multi-server system with exponential interarrival and service times C) A multi-server system with deterministic interarrival times D) A system where both arrival and service rates are constant

2. Question 2: In the M/M/m model, what does the m stand for?

A) The number of servers in the system B) The number of customers in the queue C) The maximum queue length D) The average number of arrivals per time unit

3. Question 3: In an M/M/m system, what is the assumption about the arrival process?

A) Arrivals occur at fixed time intervals B) Arrivals follow a Poisson process C) Arrivals are evenly distributed across all servers D) Arrivals are random but finite

4. Question 4: In the M/M/m model, the service rate (μ) refers to:

A) The number of customers served per unit of time by all servers B) The number of customers served per unit of time by each server C) The total time customers spend in the system D) The probability that all servers are busy

5. Question 5: In the M/M/m model, how is the traffic intensity (ρ) calculated?

A) 𝜌 = 𝜆/𝑚𝜇 B) 𝜌 = 𝜆/(𝜇−𝜆) C) 𝜌 = 𝑚𝜆/𝜇 D) 𝜌 = 𝜇/𝜆

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