Analysis of the busy period in threshold control system

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. © 2010 Pleiades Publishing, Ltd.

Authors
Efrosinin D.V. 1
Journal
Automation and Remote Control
Publisher
Maik Nauka Publishing / Springer SBM
Number of issue
1
Language
English
Pages
87-104
Status
Published
Link
External link
DOI
10.1134/S0005117910010078
Volume
71
Year
2010
Organizations
  • 1 Peoples Friendship University, Moscow, Russian Federation
Keywords
Automation; Control; Arbitrary order; Customer arrivals; Distribution density; Generating functions; Non-homogeneous; Recurrent relation; Threshold control; Threshold policies; Laplace transforms
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2822/
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