activity
20052026
most citedSpectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process

75 citations · 80 across the 7 of their papers we have counts for

collaborators

7 papers

math.PR2026

Exact analysis of transient behavior of finite-capacity MAP-driven queues

Michel Mandjes, Daniël Rutgers, Werner Scheinhardt

This paper studies the workload distribution of a finite-capacity queue driven by a spectrally one-sided Markov additive process (MAP). Our main result provides the Laplace-Stieltj…

math.PR2023

A Stochastic Fluid Model Approach to the Stationary Distribution of the Maximum Priority Process

Hiska M. Boelema, Daan J. J. Dams, Malgorzata M. O'Reilly +2

In traditional priority queues, we assume that every customer upon arrival has a fixed, class-dependent priority, and that a customer may not commence service if a customer with a…

math.PR2018★ 1 cited

Path-ZVA: general, efficient and automated importance sampling for highly reliable Markovian systems

Daniel Reijsbergen, Pieter-Tjerk de Boer, Werner Scheinhardt +1

We introduce Path-ZVA: an efficient simulation technique for estimating the probability of reaching a rare goal state before a regeneration state in a (discrete-time) Markov chain.…

math.PR2014★ 1 cited

Computing the Drift of Random Walks in Dependent Random Environments

Werner R. W. Scheinhardt, Dirk P. Kroese

Although the theoretical behavior of one-dimensional random walks in random environments is well understood, the numerical evaluation of various characteristics of such processes h…

math.PR2013

Diffusion Parameters of Flows in Stable Multi-class Queueing Networks

Sarat Babu Moka, Yoni Nazarathy, Werner Scheinhardt

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under…

math.PR2006★ 3 cited

In-Degree and PageRank of Web pages: Why do they follow similar power laws?

N. Litvak, W. R. W. Scheinhardt, Y. Volkovich

The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree. This p…

math.PR2005★ 75 cited

Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process

D. P. Kroese, W. R. W. Scheinhardt, P. G. Taylor

Quasi-birth-and-death (QBD) processes with infinite ``phase spaces'' can exhibit unusual and interesting behavior. One of the simplest examples of such a process is the two-node ta…