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.

Авторы
Издательство
Maik Nauka Publishing / Springer SBM
Номер выпуска
1
Язык
Английский
Страницы
87-104
Статус
Опубликовано
Том
71
Год
2010
Организации
  • 1 Peoples Friendship University, Moscow, Russian Federation
Ключевые слова
Automation; Control; Arbitrary order; Customer arrivals; Distribution density; Generating functions; Non-homogeneous; Recurrent relation; Threshold control; Threshold policies; Laplace transforms
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International Journal of Environmental Science and Technology. Center for Environmental and Energy Research and Studies. Том 7. 2010. С. 623-628