We provide additional descriptions of the steady-state waiting-time distribution in the M/G/1 queue with the last-in first-out (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 ρ → 1 for each time t and as t → ∞ for ...

Setting traffic light signals is a classical topic in engineering, and important heavy-traffic conditions when green times become scarce longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an elementary queueing model for one with cyclic signaling, we obtain limits that capture long-term queue behavior. We leverage limit theorems to sharp performance approximations hea...

In this paper, we propose an algorithm for adaptation layer in order to improve fairness in bandwidth allocation among different traffic classes in IP/MPLS networks under heavy traffic load. We propose a definition of the blocking frequency of traffic flows at the entry of autonomous network domain and proportional-priority coefficient per traffic class and use them as the input parameters of t...

We consider a GI/H/n queueing system. In this system, there are multiple servers in the queue. The inter-arrival time is general and independent, and the service time follows hyper-exponential distribution. Instead of stochastic differential equations, we propose two heavy traffic limits for this system, which can be easily applied in practical systems. In applications, we show how to use these...

We consider a class of stochastic processing networks. Assume that the networks satisfy a complete resource pooling condition. We prove that each maximum pressure policy asymptotically minimizes the workload process in a stochastic processing network in heavy traffic. We also show that, under each quadratic holding cost structure, there is a maximum pressure policy that asymptotically minimizes...

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 whole positive axis, and reduces to Kingman’s asymptotic and heavy-tail asymptotic on two ends, both of which are known to be valid only in limited regimes. On the link between these two well-known asym...

The mitigation potential of avenue tree species needs a sound understanding, especially for landscape planning or planting tree species on roadside, especially in city limits where there is huge traffic due to more number of vehicles. A preliminary study was conducted to investigate the impact of heavy traffic movement and pollution thereof on physiological functioning of Lagerstroemia speciosa...

BACKGROUND Numerous epidemiological studies have shown that air pollution due to both industry and heavy traffic has short- and long-term effects on health. The study was carried out in an industrial area with heavy urban and motorway traffic in the Province of Genoa (Italy). METHODS The study was carried out from June 2005 to July 2008. An epidemiologic study was conducted by monitoring an e...

In heavy traffic analysis of open queueing networks, processes of interest such as queue lengths and workload levels are generally approximated by a multidimensional reflected Brownian motion (RBM). Decomposition approximations, on the other hand, typically analyze stations in the network separately, treating each as a single queue with adjusted interarrival time distribution. We present a hybr...

the objective of this study was to explore the application of hybrid artificial neural network methods to predict heavy metals in rainwater based on major elements. measurements of the heavy metals pb, cu, zn, as, ni, hg, and fe in soluble rain fractions were performed in rainwater collected at the arak plain during the rainy seasons of 2012. in the soluble fractions, the concentrations of the ...