We present an approximate analysis of a discrete–time queue with correlated arrival processes of the so–called M |G|∞ type. The proposed heuristic approximations are developed around asymptotic results in the heavy and light traffic regimes. Investigation of the system behavior in light traffic quantifies the differences between the gradual M |G|∞ inputs and the point arrivals of a classical GI...

The safety of river-crossing tunnels is an important aspect of urban road traffic systems. Previous studies concerning traffic safety mainly focused on urban roads. Given the absence of a number of variables, such as speed and real-time traffic volume, in traffic accident databases, the traffic safety of urban river-crossing tunnels has rarely been studied. This study used the microscopic traff...

This note describes a simulation experiment involving nine exponential queues in series with a non-Poisson arrival process, which demonstrates that the heavy-traffic bottleneck phenomenon can occur in practice (at reasonable traffic intensities) as well as in theory (in the limit). The results reveal limitations in customary two-moment approximations for open queueing networks. queues * open qu...

Street dust is a hazard for workers in traditional markets. Exposure time is longer than for other people, making them vulnerable to heavy metals in street dust. This study investigated heavy metal concentrations in street dust samples collected from different types of markets. It compared the results with heavy metal concentrations in heavy traffic and rural areas. Street dust was significantl...

Two of the most popular approximations for the distribution of the steady-state waiting time, W∞, of the M/G/1 queue are the so-called heavytraffic approximation and heavy-tailed asymptotic, respectively. If the traffic intensity, ρ, is close to 1 and the processing times have finite variance, the heavy-traffic approximation states that the distribution of W∞ is roughly exponential at scale O((...

We provide a complete large and moderate deviations asymptotic for the steady-state waiting time of a class of subexponential M/G/1 queues under heavy traffic. The asymptotic is uniform over the positive axis, and reduces to heavy-traffic asymptotics and heavy-tail asymptotics on two ends, both of which are known to be valid over restricted asymptotic regimes. The link between these two well-kn...

This paper studies a multiclass queueing system with an associated risksensitive cost observed in heavy traffic at the moderate deviation scale, accounting for convex queue length penalties. The main result is the asymptotic optimality of a dynamic index policy known from the diffusion-scale heavy traffic literature as the generalized cμ rule.

We consider a generalized Jackson network with reneging customers in heavy traffic. In particular, each customer joining a particular station may abandon the network if his service does not begin within a station-dependent, exponential amount of time. We establish that in heavy traffic this system can be approximated by a multi-dimensional regulated Ornstein-Uhlenbeck process.

This paper describes investigations that have been undertaken on the effect of heavy vehicle traffic on residents. The study focused on sixteen roads in four North Island communities. The roads selected were predominantly regional arterial roads and had heavy vehicle volumes ranging from 2.1% to 32% of total traffic volume. The study had two main components, a residents' survey and an environme...