The fluid $M/M/1$ catastrophic queue in a random environment
Keyword(s):
Our main objective in this paper is to investigate the stationary behavior of a fluid disaster queue of $M/M/1$ in a random multi-phase environment. Occasionally, the system experiences a catastrophic failure causing the loss of all current jobs. The system then goes into a process of repair. As soon as the system is repaired, it moves with probability \textit{q${}_{i}$} $\mathrm{\ge}$ 0 to phase \textit{i}. The distribution of the buffer content is determined using the probability generating function. In addition, some numerical results are provided to illustrate the effect of various parameters on the distribution of buffer content.
2018 ◽
Vol 48
(10)
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pp. 2898-2912
2018 ◽
Vol 6
(4)
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pp. 349-365
1973 ◽
Vol 10
(01)
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pp. 1-14
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1991 ◽
Vol 28
(01)
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pp. 1-8
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