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Priority management in a semi-Markov queuing model

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Германия). 2017. Vol. 10684. P. 65–74.
Kondrashova E. V., Зайцева О. Б.

We study a single-channel queuing system with an arbitrary distribution of the duration of service requirements, on the input of which there are n Poisson processes. The requirements of the various processes come in di erent queues. The task is to determine the rule for selecting service requirements and to determine the optimal strategy for establish- ing dynamic priorities. We consider a case n = 2. To this end, a controlled semi-Markov process is de ned, on the trajec- tories of which a functional is constructed that determines the quality of management and takes into account the number of lost requirements, the number of serviced requirements, the time of the requirement stay in the system, and so on. An algorithm for determining the optimal strategy is formulated.

Research target: Mathematics
Priority areas: mathematics
Language: English
Full text
Keywords: optimal strategyOptimization of the Controlled Queueing Modelscontrolled semi-Markov process
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