Journal: Journal of Applied Probability

Found 465 papers in total
Large buffer asymptotics for the queue with fractional Brownian input
Large buffer asymptotics for the queue with fractional Brownian input
1999,
In this paper, a strong asymptotic estimate for the queue content distribution of a...
Bounds for the total variation distance between the Binomial and the Poisson distribution in case of medium-sized success probabilities
Bounds for the total variation distance between the Binomial and the Poisson distribution in case of medium-sized success probabilities
1999,
In applied probability, the distribution of a sum of n independent Bernoulli random...
On a single server queue with negative arrivals and request repeated
On a single server queue with negative arrivals and request repeated
1999,
There is a growing interest in queueing systems with negative arrivals; i.e. where the...
Heavy traffic analysis of a queueing system with bounded capacity for two types of customers
Heavy traffic analysis of a queueing system with bounded capacity for two types of customers
1999,
We study a service system with a fixed upper bound for its workload and two...
On the rates of convergence of Erlang's model
On the rates of convergence of Erlang's model
1999,
The convergence to equilibrium of the renormalized M/M/N/N queue is analysed. Upper...
Minimizing response times and queue lengths in systems of parallel queues
Minimizing response times and queue lengths in systems of parallel queues
1999,
We consider the problem of routeing customers to one of two parallel queues. Arrivals...
A join the shorter queue model in heavy traffic
A join the shorter queue model in heavy traffic
2000,
We prove a new heavy traffic limit result for a simple queueing network under a...
Idle and busy periods in stable M/M/k queues
Idle and busy periods in stable M/M/k queues
1998,
This paper finds the first and second moments of the number of arrivals in a stable M...
One-dimensional loss networks and conditioned M/G/∞ queues
One-dimensional loss networks and conditioned M/G/∞ queues
1998,
We study one-dimensional continuous loss networks with length distribution G and cable...
Queueing processes in bulk systems under the D-policy
Queueing processes in bulk systems under the D-policy
1998,
This paper studies the queueing process in a class of D -policy models with Poisson...
Simple conditions for the convergence of simulated annealing type algorithms
Simple conditions for the convergence of simulated annealing type algorithms
1998,
We study a class of simulated annealing type algorithms for global minimization with...
Reward processes for semi-Markov processes: Asymptotic behaviour
Reward processes for semi-Markov processes: Asymptotic behaviour
1998,
The asymptotic behaviour of the cumulative mean of a reward process Z ρ , where...
On a distributed clustering process of Coffman, Courtois, Gilbert and Piret
On a distributed clustering process of Coffman, Courtois, Gilbert and Piret
1998,
Coffman et al . have introduced a flow process in graphs, where each vertex gets an...
On the optimality of repair-cost-limit policies
On the optimality of repair-cost-limit policies
1998,
An optimal repair/replacement problem for a single-unit repairable system with minimal...
The expected time until absorption when absorption is not certain
The expected time until absorption when absorption is not certain
1998,
This paper considers continuous-time Markov chains whose state space consists of an...
The x log x condition for general branching processes
The x log x condition for general branching processes
1998,
The x log x condition is a fundamental criterion for the rate of growth of a general...
Dynamical systems defined on point processes
Dynamical systems defined on point processes
1998,
This paper introduces a new stochastic process in which the iterates of a dynamical...
Heterogeneity in epidemic models and its effect on the spread of infection
Heterogeneity in epidemic models and its effect on the spread of infection
1998,
We first study an epidemic amongst a population consisting of individuals with the...
A threshold limit theorem for the stochastic logistic epidemic
A threshold limit theorem for the stochastic logistic epidemic
1998,
The time until extinction for the closed SIS stochastic logistic epidemic model is...
The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
1998,
The distribution of the final size, K , in a general SIR epidemic model is considered...
First passage percolation and a model for competing spatial growth
First passage percolation and a model for competing spatial growth
1998,
An interacting particle system modelling competing growth on the ℤ 2 lattice is...
Superexponential decay for the GEM process
Superexponential decay for the GEM process
1998,
We show that the GEM process has strong ordering properties: the probability that one...
Statistical and information based (physical) minimal repair for k out of n systems
Statistical and information based (physical) minimal repair for k out of n systems
1998,
The ‘minimal’ repair of a system can take several forms. Statistical or...
On normalization constants for closed queueing networks with finite local buffers
On normalization constants for closed queueing networks with finite local buffers
1998,
We present new closed form solutions for partition functions used to normalize the...
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