On some parallels between the loss probability in the GI/G/1 loss system and the delay probability in the GI/G/1 queue

J. Ben Atkinson

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, it is shown that the stationary probability of loss decreases when the service-time distribution becomes more variable in all Hk/G/1 loss systems for k≥2, while this probability increases when the service-time distribution becomes more variable in all GE2/G/1 loss systems. These properties parallel those of the stationary probability of delay in the corresponding infinite-capacity GI/G/1 queues. The relationship between the loss probability in the Ek/EL/1 loss system and the probability of delay in the Ek/E1/1 queue is also discussed.

Original languageEnglish
Pages (from-to)191-194
Number of pages4
JournalOperations Research Letters
Volume25
Issue number4
DOIs
StatePublished - Nov 1999
Externally publishedYes

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