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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2009, Issue 1, Pages 24–28
(Mi uzeru246)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On increasing hazard rate of waiting time in the $M|G|1|\infty$ model
H. S. Harutyunyan, H. H. Igityan Chair of the Theory of Probability and Mathematical Statistics YSU, Armenia
Abstract:
In the present paper for the sum of random number of independent identically distributed random variables the hazard rate increase is proven under the summanders hazard rate increase condition. With the help of obtained result the stationary waiting time hazard rate increase in the $M|G|1|\infty$ model is established under the service time hazard rate increase contition.
Keywords:
$M|G|1|\infty$ model, waiting time, increasing hazard rate.
Received: 27.12.2008 Accepted: 25.01.2009
Citation:
H. S. Harutyunyan, H. H. Igityan, “On increasing hazard rate of waiting time in the $M|G|1|\infty$ model”, Proceedings of the YSU, Physical and Mathematical Sciences, 2009, no. 1, 24–28
Linking options:
https://www.mathnet.ru/eng/uzeru246 https://www.mathnet.ru/eng/uzeru/y2009/i1/p24
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Abstract page: | 63 | Full-text PDF : | 20 | References: | 16 |
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