• 1025 Citations
20022019
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Research Output 2002 2019

Article
14 Citations (Scopus)
1 Downloads (Pure)

Achieving target throughputs in random-access networks

Ven, van de, P. M., Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Borst, S. C., 2011, In : Performance Evaluation. 68, 11, p. 1103-1117

Research output: Contribution to journalArticleAcademicpeer-review

Random Access
Throughput
Carrier sense multiple access
Target
Fixed Point Iteration
7 Citations (Scopus)
1 Downloads (Pure)

A discrete-time queueing model with periodically scheduled arrival and departure slots

Leeuwaarden, van, J. S. H., Denteneer, T. J. J. & Resing, J. A. C., 2006, In : Performance Evaluation. 63, 4-5, p. 278-294

Research output: Contribution to journalArticleAcademicpeer-review

Queueing Model
Discrete-time Model
Data communication systems
Reservation
Data Transmission
1 Citation (Scopus)
2 Downloads (Pure)

A lower bound for the Erlang C formula in the Halfin-Whitt regime

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Zwart, B., 2011, In : Queueing Systems: Theory and Applications. 68, 3-4, p. 361-363

Research output: Contribution to journalArticleAcademicpeer-review

Lower bounds
34 Citations (Scopus)
1 Downloads (Pure)

Analytic computation schemes for the discrete-time bulk service queue

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2005, In : Queueing Systems: Theory and Applications. 50, 2-3, p. 141-163

Research output: Contribution to journalArticleAcademicpeer-review

Fourier series
Substitution reactions
Discrete-time
Queue
55 Downloads (Pure)

Asymptotically optimal load balancing topologies

Mukherjee, D., Borst, S. C. & van Leeuwaarden, J. S. H., 2017, In : arXiv. 1707.05866, 25 p., 1707.05866.

Research output: Contribution to journalArticleAcademic

Open Access
File
Asymptotically Optimal
Load Balancing
Topology
Clique
Server
1 Downloads (Pure)

Asymptotically optimal load balancing topologies

Mukherjee, D., Borst, S. C. & van Leeuwaarden, J. S. H., Apr 2018, In : Proceedings of the ACM on Measurement and Analysis of Computing Systems. 2, 1, 29 p., 14.

Research output: Contribution to journalArticleAcademicpeer-review

Resource allocation
Servers
Topology
Processing
Experiments
2 Citations (Scopus)
61 Downloads (Pure)

Asymptotic inversion of the Erlang B formula

Leeuwaarden, van, J. S. H. & Temme, N. M., 2009, In : SIAM Journal on Applied Mathematics. 70, 1, p. 1-23

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Blocking Probability
Blocking probability
Asymptotic Expansion
Inversion
Incomplete gamma Function
36 Downloads (Pure)

Asymptotic optimality of power-of-$d$ load balancing in large-scale systems

Mukherjee, D., Borst, S. C., van Leeuwaarden, J. S. H. & Whiting, P. A., 2 Dec 2016, In : arXiv. arXiv:1612.00722v1, 48 p., 1612.00722v1.

Research output: Contribution to journalArticleAcademic

File
Resource allocation
Large scale systems
Servers
Fluids
Throughput

Asymptotics of the maximum of Brownian motion under Erlangian sampling

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2013, In : Indagationes Mathematicae. New Series. 24, 4, p. 700-724 25 p.

Research output: Contribution to journalArticleAcademicpeer-review

Brownian motion
Erlang Distribution
Summation
Exponential distribution
Open set
32 Citations (Scopus)

A tandem queue with coupled processors : computational issues

Leeuwaarden, van, J. S. H. & Resing, J. A. C., 2005, In : Queueing Systems: Theory and Applications. 51, 1-2, p. 29-52

Research output: Contribution to journalArticleAcademicpeer-review

Tandem Queues
Boundary value problems
Performance Measures
Boundary Value Problem
Random variables

A uniform asymptotic expansion for weighted sums of exponentials

Leeuwaarden, van, J. S. H. & Temme, N. M., 2011, In : Statistics and Probability Letters. 81, 11, p. 1571-1579

Research output: Contribution to journalArticleAcademicpeer-review

Uniform Asymptotic Expansion
Weighted Sums
Random variable
Saddle Point Method
Domain of Attraction
15 Citations (Scopus)
2 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, In : Statistica Neerlandica. 62, 3, p. 299-313

Research output: Contribution to journalArticleAcademicpeer-review

Queue
Roots
Heavy Traffic
Complex Analysis
Infinite series
7 Citations (Scopus)

Balancing exposed and hidden nodes in linear wireless networks

Ven, van de, P. M., Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2014, In : IEEE/ACM Transactions on Networking. 22, 5, p. 1429-1443

Research output: Contribution to journalArticleAcademicpeer-review

Wireless networks
Chemical activation
Throughput
Carrier sense multiple access
Markov processes
21 Citations (Scopus)
9 Downloads (Pure)

Bounds and approximations for the fixed-cycle traffic-light queue

Broek, van den, M. S., Leeuwaarden, van, J. S. H., Adan, I. J. B. F. & Boxma, O. J., 2006, In : Transportation Science. 40, 4, p. 484-496

Research output: Contribution to journalArticleAcademicpeer-review

Telecommunication traffic
traffic
scaling
performance
2 Citations (Scopus)

BRAVO for many-server QED systems with finite buffers

Daley, D. J., Leeuwaarden, van, J. S. H. & Nazarathy, J., 2015, In : Advances in Applied Probability. 47, 1, p. 231-250 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

Poisson distribution
Finite Buffer
Asymptotic Variance
Random processes
Balancing

Buurtfeest (Column)

Leeuwaarden, van, J. S. H., 2011, In : STAtOR. 12, 2, p. 32-32

Research output: Contribution to journalArticlePopular

5 Citations (Scopus)
58 Downloads (Pure)

Clustering spectrum of scale-free networks

Stegehuis, C., van der Hofstad, R. W., Janssen, A. J. E. M. & van Leeuwaarden, J. S. H., 2017, In : Physical Review E. 96, 15 p., 042309.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Scale-free Networks
Clustering
Power Law
Hidden Variables
Curve
42 Downloads (Pure)

Cluster tails for critical power-law inhomogeneous random graphs

van der Hofstad, R., Kliem, S. & van Leeuwaarden, J. S. H., 1 Apr 2018, In : Journal of Statistical Physics. 171, 1, p. 38-95 58 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Random Graphs
Tail
Power Law
Scaling Limit
Moment
2 Citations (Scopus)

Connecting renewal age processes with M/D/1 and M/D/∞ queues through stick breaking

Leeuwaarden, van, J. S. H., Löpker, A. H. & Janssen, A. J. E. M., 2010, In : Stochastic Models. 26, 1, p. 141-163

Research output: Contribution to journalArticleAcademicpeer-review

Renewal
Busy Period
Queue
Processor Sharing
Distribution functions
11 Citations (Scopus)
2 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., 2008, In : Queueing Systems: Theory and Applications. 58, 4, p. 261-301

Research output: Contribution to journalArticleAcademicpeer-review

Queue
Servers
Random walk
Prisms
Series Expansion
22 Downloads (Pure)

Corrected mean-field model for random sequential adsorption on random geometric graphs

Dhara, S., van Leeuwaarden, J. S. H. & Mukherjee, D., 1 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 872-894 23 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Random Geometric Graph
Random Sequential Adsorption
Mean-field Model
adsorption
Euclidean geometry
18 Downloads (Pure)

Counting cliques and cycles in scale-free inhomogeneous random graphs

Janssen, A. J. E. M., van Leeuwaarden, J. S. H. & Shneer, S., 15 Apr 2019, In : Journal of Statistical Physics. 175, 1, p. 161-184 24 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Clique
Random Graphs
Counting
counting
Cycle
10 Citations (Scopus)
1 Downloads (Pure)

Critical epidemics, random graphs and Brownian motion with a parabolic drift

Hofstad, van der, R. W., Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2010, In : Advances in Applied Probability. 42, 4, p. 1187-1206

Research output: Contribution to journalArticleAcademicpeer-review

Brownian movement
Random Graphs
Brownian motion
Brownian Excursion
Reproduction number
7 Citations (Scopus)
79 Downloads (Pure)

Critical window for the configuration model: finite third moment degrees

Dhara, S., van der Hofstad, R. W., van Leeuwaarden, J. S. H. & Sen, S., 2017, In : Electronic Journal of Probability. 22, 16, p. 1 33 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Finite Models
Moment
Configuration
Converge
Random Graphs
11 Citations (Scopus)
1 Downloads (Pure)

Cumulants of the maximum of the Gaussian random walk

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2007, In : Stochastic Processes and their Applications. 117, 12, p. 1928-1959

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Taylor series
Cumulants
Random walk
Normal distribution
Riemann zeta function
38 Citations (Scopus)
8 Downloads (Pure)

Delay analysis for the fixed-cycle traffic-light queue

Leeuwaarden, van, J. S. H., 2006, In : Transportation Science. 40, 2, p. 189-199

Research output: Contribution to journalArticleAcademicpeer-review

Telecommunication traffic
traffic
evaluation
performance
1 Citation (Scopus)
10 Downloads (Pure)

Delayed Workload Shifting in Many-server Systems

van Leeuwaarden, J. S. H., Mathijsen, B. W. J. & Sloothaak, F., 1 Sep 2015, In : Performance Evaluation Review. 43, 2, p. 10-12 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

Servers
Time varying systems
8 Citations (Scopus)

Delay performance in random-access grid networks

Zocca, A., Borst, S. C., Leeuwaarden, van, J. S. H. & Nardi, F. R., 2013, In : Performance Evaluation. 70, 10, p. 900-915 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

Random Access
Grid
Markov processes
Conductance
Topology
3 Citations (Scopus)
1 Downloads (Pure)

Delay performance in random-access networks

Bouman, N., Borst, S. C. & Leeuwaarden, van, J. S. H., 2014, In : Queueing Systems: Theory and Applications. 77, 2, p. 211-242 32 p.

Research output: Contribution to journalArticleAcademicpeer-review

Random Access
Chemical activation
Activation
Queue
Throughput
44 Downloads (Pure)

Dominant poles and tail asymptotics in the critical Gaussian many-sources regime

Janssen, A. J. E. M. & van Leeuwaarden, J. S. H., 1 Dec 2016, In : Queueing Systems. 84, 3-4, p. 211-236 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Tail Asymptotics
Pole
Poles
Generating Function
Approximation
25 Downloads (Pure)

Dromen van zomerscholen (Column)

Leeuwaarden, van, J. S. H., 2009, In : STAtOR. 10, 4, p. 20-

Research output: Contribution to journalArticlePopular

Open Access
File
2 Downloads (Pure)

Economies-of-scale in many-server queueing systems: tutorial and partial review of the Qed Halfin-Whitt heavy-traffic regime

van Leeuwaarden, J. S. H., Mathijsen, B. W. J. & Zwart, B., Sep 2019, In : SIAM Review. 61, 3, p. 403-440 38 p.

Research output: Contribution to journalArticleAcademicpeer-review

Heavy Traffic
Queueing System
Servers
Server
Partial
3 Citations (Scopus)
63 Downloads (Pure)

Energy minimization of repelling particles on a toric grid

Bouman, N., Draisma, J. & Leeuwaarden, van, J. S. H., 2013, In : SIAM Journal on Discrete Mathematics. 27, 3, p. 1295-1312

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Energy Minimization
Grid
Completely Monotonic Function
Energy Efficient
Torus
1 Downloads (Pure)

En we wachten nog lang en gelukkig (Column)

Leeuwaarden, van, J. S. H., 2009, In : STAtOR. 10, 2, p. 15-16

Research output: Contribution to journalArticlePopular

44 Citations (Scopus)
118 Downloads (Pure)

Epidemic spreading on complex networks with community structures

Stegehuis, C., van der Hofstad, R. W. & van Leeuwaarden, J. S. H., 2016, In : Scientific Reports. 6, 7 p., 29748.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
viruses
determinants
apexes
sensitivity
4 Citations (Scopus)
59 Downloads (Pure)
Open Access
File
Brownian Motion with Drift
Equidistant
Finite Horizon
Brownian motion
Normal Function
8 Citations (Scopus)
5 Downloads (Pure)

Erlang arrivals joining the shorter queue

Adan, I. J. B. F., Kapodistria, S. & Leeuwaarden, van, J. S. H., 2013, In : Queueing Systems: Theory and Applications. 74, 2-3, p. 273-302

Research output: Contribution to journalArticleAcademicpeer-review

Joining
Markov processes
Servers
Queue
Equilibrium distribution
1 Citation (Scopus)

Erratum to : Wireless three-hop networks with stealing II : exact solutions through boundary value problems

Guillemin, F., Knessl, C. & Leeuwaarden, van, J. S. H., 2014, In : Queueing Systems: Theory and Applications. 78, 2, p. 189-195 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

Conformal mapping
Riemann-Hilbert Problem
Boundary value problems
Exact Solution
Boundary Value Problem

Everything is bigger in Texas (Column)

Leeuwaarden, van, J. S. H., 2010, In : STAtOR. 11, 2, p. 28-28

Research output: Contribution to journalArticlePopular

Extra back-off flow control in wireless mesh networks

Hellings, T., Leeuwaarden, van, J. S. H., Borst, S. C. & Denteneer, T. J. J., 2011, In : Performance Evaluation. 68, 8, p. 728-746

Research output: Contribution to journalArticleAcademicpeer-review

Carrier sense multiple access
Wireless Mesh Networks
Wireless mesh networks (WMN)
Flow Control
Flow control
2 Citations (Scopus)

Factorization identities for reflected processes, with applications

Fralix, B. H., Leeuwaarden, van, J. S. H. & Boxma, O. J., 2013, In : Journal of Applied Probability. 50, 3, p. 632-653 22 p.

Research output: Contribution to journalArticleAcademicpeer-review

Factorization
Wiener-Hopf Factorization
Diffusion Process
Palm Distribution
Batch Arrivals

Finite-pool queueing with heavy-tailed services

Bet, G., Van Der Hofstad, R. W. & van Leeuwaarden, J. S. H., 1 Sep 2017, In : Journal of Applied Probability. 54, 3, p. 921-942 22 p.

Research output: Contribution to journalArticleAcademicpeer-review

Queueing
Stable Process
Join
Queue
Customers
3 Citations (Scopus)

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., 2014, In : Stochastic Models. 30, 2, p. 162-186 27 p.

Research output: Contribution to journalArticleAcademicpeer-review

First Passage Time
Diffusion Process
Heavy Traffic
Servers
Server
1 Citation (Scopus)
1 Downloads (Pure)

First response to letter of G. Fayolle and R. Iasnogorodski

Guillemin, F., Knessl, C. & Leeuwaarden, van, J. S. H., 2014, In : Queueing Systems: Theory and Applications. 76, 1, p. 109-110

Research output: Contribution to journalArticleAcademicpeer-review

25 Citations (Scopus)
3 Downloads (Pure)
Poisson distribution
Distribution functions
Asymptotic Expansion
Normal distribution
Random variables
65 Citations (Scopus)
74 Downloads (Pure)

Generalized Random Sequential Adsorption on Erdős–Rényi Random Graphs

Dhara, S., van Leeuwaarden, J. S. H. & Mukherjee, D., 1 Sep 2016, In : Journal of Statistical Physics. 164, 5, p. 1217-1232 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Random Sequential Adsorption
Random Graphs
apexes
adsorption
Vertex of a graph
5 Citations (Scopus)

Giant component sizes in scale-free networks with power-law degrees and cutoffs

Janssen, A. J. E. M. & Van Leeuwaarden, J. S. H., 2015, In : EPL. 112, 6, p. 1-6 68001.

Research output: Contribution to journalArticleAcademicpeer-review

cut-off
exponents
37 Downloads (Pure)

Grootschalige interactie met wiskunde

Leeuwaarden, van, J. S. H., 2014, In : Nieuw Archief voor Wiskunde. 5/15, 1, p. 28-36

Research output: Contribution to journalArticleProfessional

Open Access
File
39 Downloads (Pure)

Heavy-tailed configuration models at criticality

Dhara, S., van der Hofstad, R. W., van Leeuwaarden, J. S. H. & Sen, S., 2016, In : arXiv. 39 p., arXiv:1612.00650.

Research output: Contribution to journalArticleAcademic

Open Access
File
Criticality
Configuration
Scaling Limit
Regularly Varying Function
Model