What are the six assumptions underlying the M/M/1 waiting line model? Which of these also hold for the M/D/1 model?
What will be an ideal response?
1. Arrivals are served on a "first-in, first-out" (FIFO) basis; and every arrival waits to be served, regardless of the length of the line or queue.
2. Arrivals are independent of preceding arrivals, but the average number of arrivals (arrival rate) does not change over time.
3. Arrival rates are described by a Poisson probability distribution and come from an infinite (or very, very large) population.
4. Service times vary from one customer to the next and are independent of one another, but their average rate is known.
5. Service times occur according to the negative exponential probability distribution.
6. The service rate is faster than the arrival rate.
Assumptions 4 and 5 do not apply to M/D/1.
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