Name
Title | ||
|---|---|---|
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models |
Abstract | ||
|---|---|---|
On/off models are common inputs for a variety of communication network models as well as storage and inventory models. A stationary renewal process alternating periods of activity active transmission, fluid buildup, etc with periods of inactivity silence, no transmission, inputs off, etc induces a stationary indicator process which indicates if the system is active or not. Heavy tails for the on periods induces a covariance function for the indicator process which decreases slowly at a rate characteristic of long range dependence. This has dramatic consequences for fluid models where fluid flows in at constant rate and there is a constant rate of release. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1287/moor.23.1.145 | Math. Oper. Res. |
Keywords | DocType | Volume |
active transmission,rate characteristic,fluid model,fluid flow,associated fluid models,heavy tails,long range dependence,stationary renewal process,common input,fluid buildup,constant rate,stationary indicator process,indicator process | Journal | 23 |
Issue | ISSN | Citations |
1 | 0364-765X | 46 |
PageRank | References | Authors |
15.87 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| David Heath | 1 | 46 | 20.27 |
| Sidney Resnick | 2 | 81 | 20.76 |
| Gennady Samorodnitsky | 3 | 142 | 30.49 |