Taken as the most fundamental example of the queuing theory, this queuing model takes into consideration arrival of people in the Poisson format, where the final base is to be considered as infinite population.

In case of this model, it’s taken that a customer who is arriving, said to be born, while a customer who has departed is considered dead. Since in any queuing system, both arrival of clients and their departure takes place in a simultaneous manner, it’s taken that the total process is the birth and death process.

In certain models, both mean rate of arrival and mean rate of service provided are taken as constant.

 

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