Analysis of the busy period in threshold control system |
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Authors: | D V Efrosinin |
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Affiliation: | 1.Peoples Friendship University,Moscow,Russia |
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Abstract: | Consideration was given to the controllable Markov queuing system with nonhomogeneous servers and threshold policy of server
activation depending on the queue length. By the busy period is meant the time interval between the instant of customer arrival
to the empty system and the instant of service completion when the system again becomes free. The system busy period and the
number of serviced customers were analyzed. Recurrent relations for the distribution density in terms of the Laplace transform
and generating function, as well as formulas for calculation of the corresponding arbitrary-order moments, were obtained. |
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Keywords: | |
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