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Inference of the stochastic MAPK pathway by modified diffusion bridge method
The MAPK pathway is one of the well-known systems in oncogene researches of eukaryotes due to its important role in cell life. In this study, we...
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On the distribution of typical shortest-path lengths in connected random geometric graphs
Stationary point processes in ℝ 2 with two different types of points, say H and L , are considered where the points are located on the edge set G of a...
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Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM
We are concerned with the stationary distribution of a d -dimensional semimartingale reflecting Brownian motion on a nonnegative orthant, provided it...
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Monotonicity properties of user equilibrium policies for parallel batch systems
We study a simple network with two parallel batch-service queues, where service at a queue commences when the batch is full and each queue is served...
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A generalized variable neighborhood search heuristic for the capacitated vehicle routing problem with stochastic service times
This paper describes a generalized variable neighborhood search heuristic for the Capacitated Vehicle Routing Problem with Stochastic Service Times ,...
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Dynamic server allocation for unstable queueing networks with flexible servers
This paper is concerned with the dynamic assignment of servers to tasks in queueing networks where demand may exceed the capacity for service. The...
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Positive recurrence for reflecting Brownian motion in higher dimensions
Semimartingale reflecting Brownian motions (SRBMs) are diffusion processes with state space the d -dimensional nonnegative orthant, in the interior of...
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The two-moment three-parameter decomposition approximation of queueing networks with exponential residual renewal processes
We propose a two-moment three-parameter decomposition approximation of general open queueing networks by which both autocorrelation and cross...
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On the dynamics of a finite buffer queue conditioned on the amount of loss
This paper is concerned with computing large-deviation asymptotics for the loss process in a stylized queueing model that is fed by a Brownian input...
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Large number of queues in tandem: Scaling properties under back-pressure algorithm
We consider a system with N unit-service-rate queues in tandem, with exogenous arrivals of rate λ at queue 1, under a back-pressure (MaxWeight)...
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Light tail asymptotics in multidimensional reflecting processes for queueing networks
We are concerned with the stationary distributions of reflecting processes on multidimensional nonnegative orthants and other related processes,...
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Towards an Erlang formula for multiclass networks
Consider a multiclass stochastic network with state-dependent service rates and arrival rates describing bandwidth-sharing mechanisms as well as...
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User equilibria for a parallel queueing system with state dependent routing
Consider a system of two queues in parallel, one of which is a ⋅| M |1 single-server infinite capacity queue, and the other a ⋅| G ...
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Asymptotically optimal control of parallel tandem queues with loss
We consider admission and routing controls for a system of N parallel tandem queues with finite buffers as N becomes large, with the aim of...
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Control of systems with flexible multi-server pools: a shadow routing approach
A general model with multiple input flows (classes) and several flexible multi-server pools is considered. We propose a robust, generic scheme for...
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TCP and iso-stationary transformations
We consider piecewise-deterministic Markov processes that occur as scaling limits of discrete-time Markov chains that describe the Transmission...
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Coding and control for communication networks
The purpose of this paper is to survey techniques for constructing effective policies for controlling complex networks, and to extend these...
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A stochastic fluid model for an ad hoc mobile network
In conventional mobile telephone networks, users communicate directly with a base station, via which their call is transferred to the recipient. In...
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Tail asymptotics for a Lévy-driven tandem queue with an intermediate input
We consider a Lévy-driven tandem queue with an intermediate input assuming that its buffer content process obtained by a reflection map** has the...
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Flow-level performance and capacity of wireless networks with user mobility
The performance evaluation of wireless networks is severely complicated by the specific features of radio communication, such as highly variable...