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

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/El/1 queue is also discussed.