Suppose that the operations in a post office can be defined as M/M/3 queueing system, which means we have 3 clerks. Customers arrive at the rate of λ = 12 and get the service at the rate of μ = 3. The number of people in the system can be at most 5. Find  : a) What is the average time spent in the system by a customer? b)  What is the average time spent in the queue by a customer?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.