A fundamental identity in the theory of queues |
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Authors: | Lajos Takács |
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Institution: | (1) Case Western Reserve University, Cleveland, USA |
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Abstract: | Summary The main result of this paper is a fundamental identity for single-server queueing processes. By using the fundamental identity
it is possible to find the mathematical laws describing the behavior of a queue in continuous time if we know the mathematical
laws describing the behavior of the same queue in discrete time. The case of single-server queues with recurrent input and
general service times is discussed in detail.
This research was supported by the National Science Foundation under Contract No. GP-7847. |
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