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 ...

– We consider the problem of the effectiveness of the delayed feedback in stochastic systems. Our motivation is the congestion control and scheduling of channels in communication networks via feedback. We conclude that regeneration length and correlation coefficient can provide information on the effectiveness of the delayed feedback. As a consequence the buffer length, the traffic intensity, a...

Previously established necessary and sufficient conditions for finite stationary moments in stable FIFO GI/GI/s queues exist only for the first component of the workload vector, the delay. In this paper, we derive moment results for all the components of the stationary workload vector in stable FIFO GI/GI/s queues. As in the case of stationary delay, the moment conditions for workload component...

The aim of study was to determine the phytoextraction of rare earth elements (REEs) to roots, stems and leaves of five herbaceous plant species (Achillea millefolium L., Artemisia vulgaris L., Papaver rhoeas L., Taraxacum officinale AND Tripleurospermum inodorum), growing in four areas located in close proximity to a road with varied traffic intensity. Additionally, the relationship between roa...

This paper presents a decision model that uses empirical Bayesian estimation to construct a server-dependent M/M/2/L queuing system. A Markovian queue with a number of servers depending upon queue length with finite capacity is discussed. This study uses the number of customers for initiating and turning off the second server as decision variables to formulate the expected cost minimization mod...

Previously established necessary and sufficient conditions for finite stationary moments in stable FIFO GI/GI/s queues exist only for the first component of the workload vector, the delay. In this paper, we derive moment results for all the components of the stationary workload vector in stable FIFO GI/GI/s queues. As in the case of stationary delay, the moment conditions for workload component...

Spatially explicit risk assessment is an essential component of Marine Spatial Planning (MSP), which provides a comprehensive framework for managing multiple uses of the marine environment, minimizing environmental impacts and conflicts among users. In this study, we assessed the risk of the exposure to high intensity vessel traffic areas for the three most abundant cetacean species (Stenella c...

This article models the interaction between freeway traffic dynamics and capacity-reducing incidents as a stochastic switched system, and analyzes its long-time properties. Incident events on a multi-cell freeway are modeled by a Poisson-like stochastic process. Randomness in the occurrence and clearance of incidents results in traffic dynamics that switch between a set of incident modes (discr...

Traffic incident duration is one of the most important parameters to describe traffic congestion intensity of expressways. Numerous measures have been developed to describe the characteristics of traffic incidents and the vast majority of these studies use data mining. Though they inform us the objective elements of the environment may influence traffic incident, the how question-via what way t...