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Performance Analysis of an M/M/1 Queue with Close Down Periods, Server under Maintenance Subject to Catastrophe |
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PP: 325-335 |
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doi:10.18576/amis/13S136
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Author(s) |
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B.Thilaka,
B. Poorani,
S. Udayabaskaran,
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Abstract |
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| Mathematical analysis of Queueing systems shows a significant part in wireless communication network such as channel control, energy saving schemes etc. Here, we consider a M/M/1 Queue with the server operating in three modes -Active mode, maintenance mode , sleep mode/close down period (with transitions from the maintenance mode to the sleep mode/close down period and active mode), subject to catastrophes. Catastrophes occur only when there are customers in the system and they wipe out the entire system resulting in the system being rendered inactive for a random period of time. Explicit expressions have been obtained for the transient probabilities and steady state probabilities of the close down period, maintenance state and system size along with the many performance measures. Influence of the different parameters on the steady state probabilities, system performance measures are studied using numerical examples.
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