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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2009, Issue 1, Pages 24–28 (Mi uzeru246)  

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
Full-text PDF (237 kB) Citations (1)
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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
Document Type: Article
Language: English
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
Citation in format AMSBIB
\Bibitem{HarIgi09}
\by H.~S.~Harutyunyan, H.~H.~Igityan
\paper On increasing hazard rate of waiting time in the $M|G|1|\infty$ model
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2009
\issue 1
\pages 24--28
\mathnet{http://mi.mathnet.ru/uzeru246}
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  • https://www.mathnet.ru/eng/uzeru/y2009/i1/p24
  • This publication is cited in the following 1 articles:
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    Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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    Abstract page:63
    Full-text PDF :20
    References:16
     
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