Patterns of buffer overflow in a class of queues with long memory in the input stream
Copyright policy )Patterns of buffer overflow in a class of queues with long memory in the input stream
The authors consider a G/G/1/\(L\) queue with finite buffer capacity \(L\) and determine time to buffer overflow. The arrival process is produced by an on/off source with heavy tailed on-distribution. The mean time to overflow increases polynomially fast with increasing capacity \(L\), contrary to the classical case with light tales for the on-distribution. Pooling of resources in case of superposition of several such arrival processes is investigated.
- Cornell University United States
Operations Research, long range dependence, Long range dependence, on/off models, long memory, technical report, fluid models, maximum work load, level crossing, 90B15, Queueing theory (aspects of probability theory), 004, buffer overflow, heavy tails, $G/G/1$ queue, heavy tailed distribution, Stochastic network models in operations research, 60K25, G/G/1, Industrial Engineering, regular variation, time to hit a level, weak convergence
Operations Research, long range dependence, Long range dependence, on/off models, long memory, technical report, fluid models, maximum work load, level crossing, 90B15, Queueing theory (aspects of probability theory), 004, buffer overflow, heavy tails, $G/G/1$ queue, heavy tailed distribution, Stochastic network models in operations research, 60K25, G/G/1, Industrial Engineering, regular variation, time to hit a level, weak convergence
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