M-M-S-K Queue Simulation

This program simulates an M/M/s/K Queue in Python

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Customers arrive according to a Poisson process with rate λ.

The service times of customers are exponentially distributed with parameter 1µ.

𝜆 = 2/ℎ𝑟, 𝜇 = 1.5/ℎ𝑟, K = 8

s = 2, 3, 4, 5, 6, 7

The average number of customers in the system is

The average dwell time of a customer in the system is

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Customers arrive according to a Poisson process with rate λ.

The service times of customers are exponentially distributed with parameter 1µ.

𝜇 = 6/ℎ𝑟, s = 2, K = 8

𝜆 = 2, 3, 4, 5, 6, 7/ℎ𝑟

The average queuing length is

The average waiting time of customers is