Discrete-time queue with Bernoulli bursty source arrival and generally distributed service times |
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Authors: | Wen-Hui Zhou Ai-Hu Wang |
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Affiliation: | Institute of Emerging Industrializations Development, School of Business Administration, South China University of Technology, GuangZhou 510640, China |
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Abstract: | In this contribution, a discrete-time single-server infinite-capacity queue with correlated arrivals and general service times is investigated. Arrivals of cells are modelled as an on/off source process with geometrically distributed on-periods and off-periods, which is called Bernoulli bursty source. Based on the probability generating function technique, closed-form expression of some performance measures of system, such as average buffer content, unfinished work, cell delay and so on, are obtained. Finally, the effects of system parameters on performance measures are illustrated by some numerical examples. |
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Keywords: | Discrete-time queue Bernoulli bursty source arrivals Generally distributed service times |
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