Link dimensioning is used by ISPs to properly provision the capacity of their network links. Operators have to make provisions for sudden traffic bursts and network failures to assure uninterrupted operations. In practice, traffic averages are used to roughly estimate required capacity. More accurate solutions often require traffic statistics easily obtained from packet captures, e.g. variance....

Intersection traffic delay research has traditionally placed greater emphasis on the study of through and left-turning vehicles than right-turning ones, which often renders existing methods or models inapplicable to intersections with heavy pedestrian and non-motorized traffic. In the meantime, there is also a need for understanding the relations between different types of delay and how they ea...

We propose a new approach to analyze multiclass queueing systems in heavy traffic based on what we consider as fundamental laws in queueing systems, namely distributional and conservation laws. Methodologically, we extend the distributional laws from single class queueing systems to multiple classes and combine them with conservation laws to find the heavy traffic behavior of the following syst...

The soils of the big cities, owing to the various anthropogenic activities, can be contaminated by heavy metals. The surroundings of the roads with heavy traffic as significant metal emitter source can be contaminated by heavy metals. The hobby gardens and the vegetable gardens directly along roads can be potential risky for people since unknown amount of heavy metals can be accumulated into or...

Long-range dependence has been observed in many recent Internet traffic measurements. Previous studies have shown that there is a close relationship between heavy-tailed distribution of various traffic parameters and the long-range dependent property. In this paper, we use a simple Markov chain model to argue that when the loss rate is relatively high, TCP’s adaptive congestion control mechanis...

Recently, Cellular Automata (CA) models are developed and studied mostly for homogeneous traffic flow. In the current paper an attempt has been made to use CA models to study heterogeneous traffic flows which are common in real life situation. For a better representation of different types of vehicles, cell sizes have been reduced. A different set of CA rules to control the light and heavy vehi...

We establish a heavy-traffic asymptotic expansion (in powers of one minus the traffic intensity) for the asymptotic decay rates of queue-length and workload tail probabilities in stable infinite-capacity multi-channel queues. The specific model has multiple independent heterogeneous servers, each with i.i.d. service times, that are independent of the arrival process, which is the superposition ...

We provide additional descriptions of the steady-state waiting-time distribution in the M/G/1 queue with the last-in firstout (LIFO) service discipline. We establish heavy-traffic limits for both the cumulative distribution function (cdf) and the moments. We develop an approximation for the cdf that is asymptotically correct both as the traffic intensity p ~ 1 for each time t and as t ~ oo for ...