ON INCREASING HAZARD RATE OF WAITING TIME IN THE $M |G|1|\infty|$ MODEL

H. S. Harutyunyan; H. H. Igityan

doi:10.46991/PYSU:A/2009.43.1.024

ON INCREASING HAZARD RATE OF WAITING TIME IN THE $M |G|1|\infty|$ MODEL

Authors

H. S. Harutyunyan Chair of the Theory of Probabilities and Mathematical Statistics, YSU, Armenia
H. H. Igityan Chair of the Theory of Probabilities and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2009.43.1.024

Keywords:

$M |G|1|\infty|$ model, waiting time, increasing hazard rate

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.

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Published

2009-02-19

How to Cite

Harutyunyan, H. S., & Igityan, H. H. (2009). ON INCREASING HAZARD RATE OF WAITING TIME IN THE $M |G|1|\infty|$ MODEL. Proceedings of the YSU A: Physical and Mathematical Sciences, 43(1 (218), 24–28. https://doi.org/10.46991/PYSU:A/2009.43.1.024