M/M/1 QUEUING MODEL
The M/M/1 queuing model is a queuing model where the arrivals follow a Poisson process, service times are exponentially distributed and there is one server.
The assumption of M/M/1 queuing model are as follows:
- The number of customers arriving in a time interval t follows a Poisson Process with parameter λ.
- The interval between any two successive arrivals is exponentially distributed with parameter λ.
- The time taken to complete a single service is exponentially distributed with parameter μ.
- The number of server is one.
- Although not explicitly stated both the population and the queue size can be infinity.
- The order of service is assumed to be FIFO.
If , the steady state probabilities exist and Pn the number of customers in ...
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