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A feedback queueing model for an interactive computer system

Recently considerable effort has been directed to the development of computer systems that are able to serve a large number of users in an interactive manner. The model of interactive computer system is described by stating what a single user does during an elementary operation at his console, the "interaction." Roughly stated, an interaction consists of the user requesting and then receiving service from the computer system. The events usually forming an interaction are: the user's thinking, typing at his remote console, waiting for a response from the computer system, and finally watching output. These interactions are repeated until the user finds the desired output. The number of interactions depends on the contents of a job which is processed by the computer system and on the goodness of program which is processed by the user in each interaction. Since this number fluctuates stochastically, it may be considered as a random variable.