• 1025 Citations
20022019
If you made any changes in Pure these will be visible here soon.

Research Output 2002 2019

2016
43 Downloads (Pure)

Solvable random network model for disordered sphere packing

Dhara, S., van Leeuwaarden, J. S. H. & Mukherjee, D., 16 Nov 2016, In : arXiv. 1611.05019, p. 1-19 19 p.

Research output: Contribution to journalArticleAcademic

Open Access
File
Euclidean geometry
adsorption
apexes
physics
6 Citations (Scopus)
60 Downloads (Pure)

Steady-state analysis of shortest expected delay routing

Selen, J., Adan, I. J. B. F., Kapodistria, S. & van Leeuwaarden, J. S. H., 1 Dec 2016, In : Queueing Systems: Theory and Applications. 84, 3, p. 309–354 46 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Servers
Stretching
Routing
Queue
Random walk
22 Downloads (Pure)

The restricted Erlang-R queue: finite-size effects in service systems with returning customers

van Leeuwaarden, J. S. H., Mathijsen, B. W. J., Sloothaak, F. & Yom-Tov, G. B., 21 Dec 2016, In : arXiv. 1612.07088, 55 p.

Research output: Contribution to journalArticleAcademic

Open Access
File
48 Downloads (Pure)

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

Selen, J., Adan, I. J. B. F., Kulkarni, V. G. & van Leeuwaarden, J. S. H., 2016, In : Stochastic Models. 32, 3, p. 366-391 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Markov processes
Servers
Server
Customers
Bistable System
6 Citations (Scopus)
3 Downloads (Pure)

Universality of load balancing schemes on the diffusion scale

Mukherjee, D., Borst, S. C., van Leeuwaarden, J. S. H. & Whiting, P., Dec 2016, In : Journal of Applied Probability. 53, 4, p. 1111-1124 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

Load Balancing
Universality
Queue
Server
Join
76 Downloads (Pure)

Universality of Power-of-$d$ Load Balancing in Many-Server Systems

Mukherjee, D., Borst, S. C., van Leeuwaarden, J. S. H. & Whiting, P. A., 2 Dec 2016, In : arXiv. 36 p.

Research output: Contribution to journalArticleAcademic

Open Access
File
Resource allocation
Servers
Fluids
Computer systems
30 Citations (Scopus)
2 Downloads (Pure)

Universality of power-of-d load balancing schemes

Mukherjee, D., Borst, S., Van Leeuwaarden, J. & Whiting, P., Sep 2016, In : Performance Evaluation Review. 44, 2, p. 36-38 3 p.

Research output: Contribution to journalConference articleAcademicpeer-review

Resource allocation
Servers
Fluids
2015
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
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
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
4 Citations (Scopus)
64 Downloads (Pure)

Mean-field analysis of ultra-dense CSMA networks

Cecchi, F., Borst, S. C. & Van Leeuwaarden, J. S. H., 16 Sep 2015, In : Performance Evaluation Review. 43, 2, p. 13-15 3 p., 2825241.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Carrier sense multiple access
Computer networks
Dynamical systems
Parallel algorithms
Wireless networks
1 Downloads (Pure)

Netwerken

Leeuwaarden, van, J. S. H. & Mandjes, M. R. H., 2015, In : Nieuw Archief voor Wiskunde. 5/16, 3, p. 155-155

Research output: Contribution to journalArticleAcademic

NETWORKS

Leeuwaarden, van, J. S. H. & Mandjes, M. R. H., 2015, In : Nieuw Archief voor Wiskunde. 5/16, 3, p. 161-164

Research output: Contribution to journalArticleAcademic

5 Citations (Scopus)
58 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., 2015, In : SIAM Journal on Applied Mathematics. 75, 2, p. 787-812 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Queueing theory
Heavy Traffic
Asymptotic analysis
Saddle Point Method
Performance Measures
52 Downloads (Pure)

Robust heavy-traffic approximations for service systems facing overdispersed demand

Mathijsen, B. W. J., Janssen, A. J. E. M., van Leeuwaarden, J. S. H., Mandelbaum, A. & Zwart, A. P., 17 Dec 2015, In : arXiv. 31 p., 1512.05581V1.

Research output: Contribution to journalArticleAcademic

Open Access
File
2 Citations (Scopus)

Slow transitions and starvation in dense random-access networks

Zocca, A., Borst, S. C. & Leeuwaarden, van, J. S. H., 2015, In : Stochastic Models. 31, 3, p. 361-402

Research output: Contribution to journalArticleAcademicpeer-review

Random Access
Mixing Time
Hitting Time
Interaction
Throughput

Stability of random admissible-set scheduling in spatially continuous wireless systems

Bouman, N., van Leeuwaarden, J. S. H. & Borst, S. C., 2015, In : Markov Processes and Related Fields. 21, 1, p. 85-108

Research output: Contribution to journalArticleAcademicpeer-review

Admissible Set
Random Sets
Measure-valued Process
Scheduling
Lyapunov functions
1 Citation (Scopus)
1 Downloads (Pure)

Staffing many-server systems with admission control and retrials

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2015, In : Advances in Applied Probability. 47, 2, p. 450-475 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Retrials
Admission Control
Access control
Computer systems
Servers

Stochastische modellen voor random-access-netwerken

Borst, S. C., van Leeuwaarden, J. S. H. & van de Ven, P. M., 2015, In : Nieuw Archief voor Wiskunde. 5/16, 3, p. 201-206

Research output: Contribution to journalArticleProfessional

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
3 Citations (Scopus)
65 Downloads (Pure)

Transient analysis of the Erlang A model

Knessl, C. & Leeuwaarden, van, J. S. H., 2015, In : Mathematical Methods of Operations Research. 82, 2, p. 143-173

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Transient Analysis
Transient analysis
Queue
Laplace transforms
Laplace transform
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
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
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
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
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
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

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
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
63 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
1 Citation (Scopus)
64 Downloads (Pure)

Product-form solutions for a class of structured multidimensional Markov processes

Selen, J., Adan, I. J. B. F. & Leeuwaarden, van, J. S. H., 2014, In : SIAM Journal on Applied Mathematics. 74, 3, p. 844-863

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Product Form Solution
Queueing System
Markov Process
Markov processes
Servers
5 Citations (Scopus)
1 Downloads (Pure)

Queues with random back-offs

Bouman, N., Borst, S. C., Boxma, O. J. & Leeuwaarden, van, J. S. H., 2014, In : Queueing Systems: Theory and Applications. 77, 1, p. 33-74 42 p.

Research output: Contribution to journalArticleAcademicpeer-review

Vacation
Queue
Queue Length
Heavy Traffic
Carrier sense multiple access
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
10 Citations (Scopus)
2 Downloads (Pure)

Throughput of CSMA networks with buffer dynamics

Cecchi, F., Borst, S. C. & Leeuwaarden, van, J. S. H., 2014, In : Performance Evaluation. 79, p. 216-23 19 p.

Research output: Contribution to journalArticleAcademicpeer-review

Carrier sense multiple access
Multiple Access
Buffer
Throughput
Stability Region

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, 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

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
76 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)

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
8 Citations (Scopus)
52 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
3 Citations (Scopus)

Delays and mixing times in random-access networks

Bouman, N., Borst, S. C. & Leeuwaarden, van, J. S. H., 2013, ACM Sigmetrics International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS'13, Pittsburgh PA, USA, June 17-21, 2013). New York NY: Association for Computing Machinery, Inc, p. 117-128 (ACM SIGMETRICS Performance Evaluation Review; vol. 41(1)).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Chemical activation
Throughput
Scheduling
Topology
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
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
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
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