• 1026 Citations
20022019
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Research Output 2002 2019

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2015
1 Downloads (Pure)

The snowball effect of customer slowdown in critical many-server systems

Selen, J., Adan, I. J. B. F., Kulkarni, V. G. & Leeuwaarden, van, J. S. H., 2015, s.n. 27 p. (arXiv; vol. 1502.02856 [math.PR])

Research output: Book/ReportReportAcademic

Empirical evidence
Markov process
Heavy traffic
Healthcare
Customer service
5 Downloads (Pure)

Universality of load balancing schemes on diffusion scale

Mukherjee, D., Borst, S. C., Leeuwaarden, van, J. S. H. & Whiting, P. A., 2015, s.n. 17 p. (arXiv; vol. 1510.02657 [math.PR])

Research output: Book/ReportReportAcademic

Resource allocation
Servers
2014
27 Downloads (Pure)

Cluster tails for critical power-law inhomogeneous random graphs

Hofstad, van der, R. W., Kliem, S. M. & Leeuwaarden, van, J. S. H., 2014, Eindhoven: Eurandom. 44 p. (Report Eurandom; vol. 2014007)

Research output: Book/ReportReportAcademic

Open Access
File
Random Graphs
Tail
Power Law
Scaling Limit
Moment
36 Downloads (Pure)

Heavy-traffic analysis through uniform acceleration of transitory queues with diminishing populations

Bet, G., Hofstad, van der, R. W. & Leeuwaarden, van, J. S. H., 2014, s.n. 43 p. (arXiv; vol. 1412.5329 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Heavy traffic
Queue
Stochastic processes
Join
Queueing
62 Downloads (Pure)

Large deviations for power-law thinned Lévy processes

Aidekon, E. F., Hofstad, van der, R. W., Kliem, S. M. & Leeuwaarden, van, J. S. H., 2014, Eindhoven: Eurandom. 27 p. (Report Eurandom; vol. 2014008)

Research output: Book/ReportReportAcademic

Open Access
File
Large Deviations
Power Law
Riemann sum
Rare Events
Tilt
12 Downloads (Pure)

Novel heavy-traffic regimes for large-scale service systems

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Mathijsen, B. W. J., 2014, s.n. 24 p. (arXiv.org; vol. 1411.5251 [math.PR])

Research output: Book/ReportReportAcademic

traffic
saddle points
queueing theory
congestion
sizing
2 Downloads (Pure)

Optimal admission control for many-server systems with QED-driven revenues

Sanders, J., Borst, S. C., Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2014, s.n. 26 p. (arXiv.org; vol. 1411.2808 [math.PR])

Research output: Book/ReportReportAcademic

Admission control
Revenue
Revenue maximization
Queue
Economies of scale
21 Downloads (Pure)

Slow transitions, slow mixing and starvation in dense random-access networks

Zocca, A., Borst, S. C. & Leeuwaarden, van, J. S. H., 2014, s.n. 29 p. (arXiv; vol. 1403.3325 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File

Transient analysis of the Erlang A model

Knessl, C. & Leeuwaarden, van, J. S. H., 2014, s.n. 27 p. (arXiv; vol. 1412.2982 [math.PR])

Research output: Book/ReportReportAcademic

Transient Analysis
Queue
Laplace transform
Birth-death Process
Contour integral
2013

Asymptotics of the maximum of Brownian motion under Erlangian sampling

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2013, s.n. 23 p. (arXiv.org; vol. 1303.3773 [math.PR])

Research output: Book/ReportReportAcademic

Erlang Distribution
Brownian motion
Pi
Exponential distribution
Open set
75 Downloads (Pure)

BRAVO for many-server QED systems with finite buffers

Daley, D. J., Leeuwaarden, van, J. S. H. & Nazarathy, J., 2013, s.n. 21 p. (arXiv.org; vol. 1308.0933 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Finite Buffer
Asymptotic Variance
Balancing
Server
Departure Process
24 Downloads (Pure)

Delay performance and mixing times in random-access networks

Bouman, N., Borst, S. C. & Leeuwaarden, van, J. S. H., 2013, s.n. 25 p. (arXiv.org; vol. 1305.3774 [cs.NI])

Research output: Book/ReportReportAcademic

Open Access
File
Chemical activation
Throughput
Scheduling
Topology
8 Citations (Scopus)
51 Downloads (Pure)

Delay performance in random-access grid networks

Zocca, A., Borst, S. C., Leeuwaarden, van, J. S. H. & Nardi, F. R., 2013, s.n. 19 p. (arXiv.org; vol. 1307.1532 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Markov processes
Queueing networks
Physics
Topology
Sampling
2 Citations (Scopus)
62 Downloads (Pure)

Factorization identities for reflected processes, with applications

Fralix, B. H., Leeuwaarden, van, J. S. H. & Boxma, O. J., 2013, s.n. (arXiv.org; vol. 1302.2508 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Factorization
Lévy Process
Diffusion Process
Wiener-Hopf Factorization
Batch Arrivals
46 Downloads (Pure)

First passage times to congested states of many-server systems in the Halfin-Whitt regime

Fralix, B. H., Knessl, C. & Leeuwaarden, van, J. S. H., 2013, s.n. 11 p. (arXiv.org; vol. 1302.3007 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Ornstein-Uhlenbeck process
traffic
arrivals
unity
approximation

On the sojourn time distribution in a finite population Markovian processor sharing queue

Zhen, Q., Leeuwaarden, van, J. S. H. & Knessl, C., 2013, s.n. 60 p. (arXiv.org; vol. 1309.2700 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Processor Sharing
Sojourn Time
Finite Population
Queue
Customers
61 Downloads (Pure)

Product-form solutions for a class of structured multi-dimensional Markov processes

Selen, J., Adan, I. J. B. F. & Leeuwaarden, van, J. S. H., 2013, s.n. 23 p. (arXiv.org; vol. 1310.8114 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Product Form Solution
Queueing System
Markov Process
Waiting Time Distribution
Product Form
27 Downloads (Pure)

Queues with random back-offs

Bouman, N., Borst, S. C., Boxma, O. J. & Leeuwaarden, van, J. S. H., 2013, s.n. 38 p. (arXiv.org; vol. 1302.3144 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Queue
Heavy traffic
Vacation
Network access
Lower bounds
5 Citations (Scopus)
65 Downloads (Pure)

Scaled control in the QED regime

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Sanders, J., 2013, s.n. (arXiv.org; vol. 1307.1361 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Admission Control
Dimensioning
Stationary Measure
Active Control
Control Policy
25 Downloads (Pure)

Staffing many-server systems with admission control and retrials (report version)

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2013, s.n. 35 p. (arXiv.org; vol. 1302.3006 [math.PR])

Research output: Book/ReportReportAcademic

Open Access
File
Staffing
Admission control
Queueing model
Staff
Service levels
2012
1 Citation (Scopus)

Achievable performance in product-form networks

Sanders, J., Borst, S. C. & Leeuwaarden, van, J. S. H., 2012, s.n. 8 p. (arXiv.org; vol. 1211.1139 [math.OC])

Research output: Book/ReportReportAcademic

Mathematical operators
8 Citations (Scopus)

Mixing properties of CSMA networks on partite graphs

Zocca, A., Borst, S. C. & Leeuwaarden, van, J. S. H., 2012, s.n. 11 p. (arXiv.org; vol. 1209.2859 [math.PR])

Research output: Book/ReportReportAcademic

activation
interference
metastable state
physics
estimates
1 Citation (Scopus)

Online optimization of product-form networks

Sanders, J., Borst, S. C. & Leeuwaarden, van, J. S. H., 2012, s.n. 11 p. (arXiv.org; vol. 1208.6187 [math.OC])

Research output: Book/ReportReportAcademic

Markov processes
2011
28 Downloads (Pure)

A new Wiener-Hopf identity for a general class of reflected processes

Fralix, B. H., Leeuwaarden, van, J. S. H. & Boxma, O. J., 2011, Eindhoven: Eurandom. 26 p. (Report Eurandom; vol. 2011024)

Research output: Book/ReportReportAcademic

Open Access
File
Diffusion Process
Wiener-Hopf Factorization
Batch Arrivals
Birth and Death Process
Catastrophe
71 Downloads (Pure)

Erlang arrivals joining the shorter queue

Adan, I. J. B. F., Kapodistria, S. & Leeuwaarden, van, J. S. H., 2011, Eindhoven: Eurandom. 30 p. (Report Eurandom; vol. 2011039)

Research output: Book/ReportReportAcademic

Open Access
File
Markov chain
Equilibrium distribution
Join
Queue
Random walk
67 Downloads (Pure)

Insensitivity and stability of random-access networks

Ven, van de, P. M., Borst, S. C., Leeuwaarden, van, J. S. H. & Proutière, A., 2011, Eindhoven: Eurandom. 23 p. (Report Eurandom; vol. 2011019)

Research output: Book/ReportReportAcademic

Open Access
File
Carrier sense multiple access
Medium access control
Stability criteria
Wireless networks
Throughput

Random walks reaching against all odds the other side of the quarter plane

Leeuwaarden, van, J. S. H. & Raschel, K., 2011, s.n. 17 p. (arXiv.org [math.PR]; vol. 1104.3034)

Research output: Book/ReportReportAcademic

random walk
exclusion
boundary value problems
evaluation
64 Downloads (Pure)

Spatial fairness in linear random-access networks

Ven, van de, P. M., Leeuwaarden, van, J. S. H., Denteneer, T. J. J. & Janssen, A. J. E. M., 2011, Eindhoven: Eurandom. 21 p. (Report Eurandom; vol. 2011020)

Research output: Book/ReportReportAcademic

Open Access
File
random access
activation
27 Downloads (Pure)

Stability of random admissible-set scheduling in spatial wireless systems

Bouman, N., Borst, S. C. & Leeuwaarden, van, J. S. H., 2011, Eindhoven: Eurandom. 20 p. (Report Eurandom; vol. 2011003)

Research output: Book/ReportReportAcademic

Open Access
File
Scheduling
Lyapunov functions
Wireless networks
Positive ions
Network protocols
1 Downloads (Pure)

The compensation approach for walks with small steps in the quarter plane

Adan, I. J. B. F., Leeuwaarden, van, J. S. H. & Raschel, K., 2011, s.n. 19 p. (arXiv.org [math.CO]; vol. 1101.0804)

Research output: Book/ReportReportAcademic

Walk
Counting Problems
Counting Function
Nonholonomic
Meromorphic
2010
4 Citations (Scopus)
69 Downloads (Pure)

Model Predictive Control for the acquisition queue and related queueing networks

Leeuwaarden, van, J. S. H., Lefeber, A. A. J., Nazarathy, J. & Rooda, J. E., 2010, Eindhoven: Eurandom. 16 p. (Report Eurandom; vol. 2010022)

Research output: Book/ReportReportAcademic

Open Access
File
Queueing networks
Model predictive control
Quadratic programming
Control theory
Controllers
2 Citations (Scopus)
24 Downloads (Pure)

Optimal tradeoff between exposed and hidden nodes in large wireless networks

Ven, van de, P. M., Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2010, Eindhoven: Eurandom. 21 p. (Report Eurandom; vol. 2010015)

Research output: Book/ReportReportAcademic

Open Access
File
tradeoffs
thresholds
activation
collisions
interference
2009

Novel scaling limits for critical inhomogeneous random graphs

Bhamidi, S., Hofstad, van der, R. W. & Leeuwaarden, van, J. S. H., 2009, Eindhoven: Technische Universiteit Eindhoven. 63 p. (Report Eurandom; vol. 2009047)

Research output: Book/ReportReportPopular

scaling
exponents
moments
electrons

On a processor sharing queue that models balking

Zhen, Q., Leeuwaarden, van, J. S. H. & Knessl, C., 2009, Eindhoven: Eurandom. 36 p. (Report Eurandom; vol. 2009046)

Research output: Book/ReportReportAcademic

Balking
Queue
Perturbation method
Tail behavior
Conditional distribution

On a Processor Sharing Queue that models balking

Zhen, Q., Leeuwaarden, van, J. S. H. & Knessl, C., 2009, s.n. 36 p. (arXiv.org [math.PR]; vol. 0905.3700)

Research output: Book/ReportReportAcademic

Balking
Processor Sharing
Queue
Customers
Tail Behavior
51 Downloads (Pure)

Rare event asymptotics for a random walk in the quarter plane

Guillemin, F. & Leeuwaarden, van, J. S. H., 2009, Eindhoven: Eurandom. 27 p. (Report Eurandom; vol. 2009059)

Research output: Book/ReportReportAcademic

Open Access
File
Rare Events
Queue
Random walk
Queue Length
Functional equation
48 Downloads (Pure)

Refined square-root staffing for call centers with impatient customers

Zhang, B., Leeuwaarden, van, J. S. H. & Zwart, B., 2009, Eindhoven: Eurandom. 21 p. (Report Eurandom; vol. 2009061)

Research output: Book/ReportReportAcademic

Open Access
File
Staffing
Call centres
Staff
Asymptotic theory
Constraint satisfaction problem
48 Downloads (Pure)

Scaling limits for critical inhomogeneous random graphs with finite third moments

Bhamidi, S., Hofstad, van der, R. W. & Leeuwaarden, van, J. S. H., 2009, Eindhoven: Eurandom. 20 p. (Report Eurandom; vol. 2009044)

Research output: Book/ReportReportPopular

Open Access
File

Scaling limits for critical inhomogeneous random graphs with finite third moments

Bhamidi, S., Hofstad, van der, R. W. & Leeuwaarden, van, J. S. H., 2009, s.n. 19 p. (arXiv.org [math.PR]; vol. 0907.4279)

Research output: Book/ReportReportAcademic

Scaling Limit
Random Graphs
Moment
Supermartingale
Excursion
3 Citations (Scopus)
55 Downloads (Pure)

TCP and iso-stationary transformations

Leeuwaarden, van, J. S. H., Lopker, A. H. & Ott, T. J., 2009, Eindhoven: Eurandom. 15 p. (Report Eurandom; vol. 2009058)

Research output: Book/ReportReportAcademic

Open Access
File
Markov Process
Piecewise Deterministic Markov Process
Scaling Limit
Poisson process
Markov chain
27 Downloads (Pure)

Triangular M/G/1-type and tree-like QBD Markov chains

Van Houdt, B. & Leeuwaarden, van, J. S. H., 2009, Eindhoven: Eurandom. 15 p. (Report Eurandom; vol. 2009060)

Research output: Book/ReportReportAcademic

Open Access
File
Markov chain
Matrix analytic methods
2008
55 Downloads (Pure)

Asymptotic inversion of the Erlang B formula

Leeuwaarden, van, J. S. H. & Temme, N. M., 2008, Eindhoven: Eurandom. 24 p. (Report Eurandom; vol. 2008055)

Research output: Book/ReportReportAcademic

Open Access
File
Blocking Probability
Asymptotic Expansion
Inversion
Incomplete gamma Function
Queue
15 Citations (Scopus)
65 Downloads (Pure)

Back to the roots of the M/D/s queue and the works of Erlang, Crommelin, and Pollaczek

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2008, Eindhoven: Eurandom. 13 p. (Report Eurandom; vol. 2008053)

Research output: Book/ReportReportAcademic

Open Access
File
22 Downloads (Pure)

Connecting renewal age processes and M/D/1 processor sharing queues through stick breaking

Leeuwaarden, van, J. S. H., Löpker, A. H. & Janssen, A. J. E. M., 2008, Eindhoven: Eurandom. 19 p. (Report Eurandom; vol. 2008017)

Research output: Book/ReportReportAcademic

Open Access
File
57 Downloads (Pure)

Equidistant sampling for the maximum of a Brownian motion with drift on a finite horizon

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2008, Eindhoven: Eurandom. 8 p. (Report Eurandom; vol. 2008054)

Research output: Book/ReportReportAcademic

Open Access
File
Brownian Motion with Drift
Equidistant
Finite Horizon
Brownian motion
Normal Function
22 Downloads (Pure)

Power series approximations for generalized processor sharing systems

Walraevens, J., Leeuwaarden, van, J. S. H. & Boxma, O. J., 2008, Eindhoven: Eurandom. 16 p. (Report Eurandom; vol. 2008018)

Research output: Book/ReportReportAcademic

Open Access
File
89 Downloads (Pure)

Refining square root safety staffing by expanding Erlang C

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Zwart, B., 2008, Eindhoven: Eurandom. 21 p. (Report Eurandom; vol. 2008052)

Research output: Book/ReportReportAcademic

Open Access
File
49 Downloads (Pure)

Transient behavior of the Halfin-Whitt diffusion

Leeuwaarden, van, J. S. H. & Knessl, C., 2008, Eindhoven: Eurandom. 14 p. (Report Eurandom; vol. 2008056)

Research output: Book/ReportReportAcademic

Open Access
File
Brownian movement
Servers
2007
56 Downloads (Pure)

Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Zwart, B., 2007, Eindhoven: Eurandom. 35 p. (Report Eurandom; vol. 2007059)

Research output: Book/ReportReportAcademic

Open Access
File
11 Citations (Scopus)
55 Downloads (Pure)

Cumulants of the maximum of the Gaussian random walk

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2007, Eindhoven: Eurandom. 31 p. (Report Eurandom; vol. 2007022)

Research output: Book/ReportReportAcademic

Open Access
File