Answer to Question #166497 in Python for Keyleigh

Question

Q.5

A queue is observed over 10000 one-second time intervals with data as given below in the array qdata.

Construct a Poisson nearest neighbour model with a single arrival and servicing pattern and hence answer the following questions:

1. What is the average time taken for 1 customer to arrive?
2. What is the average number of customer servicings per second?
3. What is your estimate for the equilibrium probability 𝑃(𝑛≥4)
4. P(n≥4), where 𝑛
5. n is the queue size in this model?
6. Suppose that two equivalent servers are introduced. What would the equilibrium probability 𝑃(𝑛≥4)
7. P(n≥4) then be?

Answer 1

1. 0.0001
2. 0.006