## Application of Network Calculus to Guaranteed Service Networks (1998)

Citations: | 37 - 6 self |

### BibTeX

@MISC{Boudec98applicationof,

author = {Jean-Yves Le Boudec},

title = {Application of Network Calculus to Guaranteed Service Networks},

year = {1998}

}

### OpenURL

### Abstract

We use recent network calculus results to study some properties of lossless multiplexing as it may be used in guaranteed service networks. We call network calculus a set of results that apply min-plus algebra to packet networks. We provide a simple proof that shaping a traffic stream to conform to a burstiness constraint preserves the original constraints satisfied by the traffic stream We show how all rate-based packet schedulers can be modeled with a simple rate latency service curve. Then we define a general form of deterministic effective bandwidth and equivalent capacity. We find that call acceptance regions based on deterministic criteria (loss or delay) are convex, in contrast to statistical cases where it is the complement of the region which is convex. We thus find that, in general, the limit of the call acceptance region based on statistical multiplexing when the loss probability target tends to 0 may be strictly larger than the call acceptance region based on lossless mult...