In this paper, we consider a PH/M/2 queue in which each server has its own queue and arriving customers join the shortest queue. For this model, it has been conjectured that the decay rate of the tail probabilities for the shortest queue length in the steady state is equal to the square of the decay rate for the queue length in the corresponding PH/M/2 model with a single queue. We prove this f...

The so-called “Israeli queue” (Boxma et al. in Stoch Model 24(4):604– 625, 2008; Perel and Yechiali in Probab Eng Inf Sci, 2013; Perel and Yechiali in Stoch Model 29(3):353–379, 2013) is a multi-queue polling-type system with a single server. Service is given in batches, where the batch sizes are unlimited and the service time of a batch does not depend on its size. After completing service, th...

Transportation Research Record: Journal of the Transportation Research Board, No. 1988, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 63–66. The analytical procedures for all-way stop-controlled intersections in the 2000 edition of the Highway Capacity Manual (HCM) lack a model to estimate the 95th percentile queue length. This is considered a major shortc...

Fundamental to many transportation network studies, traffic flow models can be used describe dynamics determined by drivers’ car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a deterministic queueing model of flow, in which on each link is considered as queue. the queue (LQM), demand supply are defined size (number vehicles), its in- out-flows computed fr...

Due to the rapid development in computer networks, congestion becomes a critical issue. Congestion usually occurs when the connection demands on network resources, i.e. buffer spaces, exceed the available ones. We propose in this paper a new discrete-time queueing network analytical model based on dynamic random early drop (DRED) algorithm to control the congestion in early stages. We apply our...

We consider an extension of Discrete Time Markov Chain queueing model to the quantum domain by use of Discrete Time Quantum Markov Chain. We introduce methods for numerical analysis of such models. Using this tools we show that quantum model behaves fundamentally differently from the classical one.

this paper analyzes a renewal input  working vacations queue with change over times and bernoulli schedulevacation interruption under (a,c,b) policy.the service and vacation times are exponentially distributed.the server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a