• 1026 Citations
20022019
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Research Output 2002 2019

6 Citations (Scopus)
67 Downloads (Pure)

Achievable delay performance in CSMA networks

Bouman, N., Borst, S. C. & Leeuwaarden, van, J. S. H., 2011, 49th Allerton Conference on Communication, Control and Computing (Monticello IL, USA, September 28-30, 2011). p. 384-391

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

Open Access
File
Carrier sense multiple access
Chemical activation
Throughput
Scheduling
Topology
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
1 Citation (Scopus)
1 Downloads (Pure)

Achievable performance in product-form networks

Sanders, J., Borst, S. C. & Leeuwaarden, van, J. S. H., 2012, 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton House, UIUC, Illinois, USA, October 1-5, 2012). Basar, T. & Hajek, B. (eds.). Institute of Electrical and Electronics Engineers, p. 928-935

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

Mathematical operators
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
54 Downloads (Pure)

A discrete queue, Fourier sampling on Szegö curves, and Spitzer formulas

Leeuwaarden, van, J. S. H. & Janssen, A. J. E. M., 2003, Eindhoven: Eurandom. 25 p. (Report Eurandom; vol. 2003018)

Research output: Book/ReportReportAcademic

Open Access
File
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
77 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., 2003, Eindhoven: Eurandom. 16 p. (Report Eurandom; vol. 2003026)

Research output: Book/ReportReportAcademic

Open Access
File
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
92 Downloads (Pure)

Analytic computation schemes for the discrete-time bulk service queue

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2004, Eindhoven: Eurandom. 25 p. (Report Eurandom; vol. 2004005)

Research output: Book/ReportReportAcademic

Open Access
File
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
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
54 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
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
34 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, s.n. 23 p. (arXiv.org; vol. 1303.3773 [math.PR])

Research output: Book/ReportReportAcademic

Erlang Distribution
Brownian motion
Pi
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, 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
67 Downloads (Pure)

A tandem queue with coupled processors : computational issues

Leeuwaarden, van, J. S. H. & Resing, J. A. C., 2004, Eindhoven: Eurandom. 21 p. (Report Eurandom; vol. 2004006)

Research output: Book/ReportReportAcademic

Open Access
File
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
14 Citations (Scopus)
45 Downloads (Pure)

Backlog-based random access in wireless networks : fluid limits and delay issues

Bouman, N., Borst, S. C., Leeuwaarden, van, J. S. H. & Proutière, A., 2011, Proceedings of the 2011 23rd International Teletraffic Congress (ITC 2011, San Francisco CA, USA, September 6-9, 2011). ITC Press, p. 39-46

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

Open Access
File
Wireless networks
Fluids
Scheduling algorithms
Dynamical systems
Throughput
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
15 Citations (Scopus)
1 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

Bandwidth allocation in HFC networks using frame-based scheduling strategies

Leeuwaarden, van, J. S. H. & Technische Universiteit Eindhoven (TUE). Stan Ackermans Instituut. Mathematics for Industry (MI), 2002, Eindhoven: Technische Universiteit Eindhoven. Stan Ackermans Instituut.

Research output: ThesisPd Eng Thesis

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
179 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., 2004, Eindhoven: Technische Universiteit Eindhoven. 20 p. (SPOR-Report : reports in statistics, probability and operations research; vol. 200418)

Research output: Book/ReportReportAcademic

Open Access
File
1 Downloads (Pure)

Bounds for a discrete-time multi server queue with an application to cable networks

Denteneer, T. J. J., Leeuwaarden, van, J. S. H. & Resing, J. A. C., 2003, Providing QoS in Heterogeneous Environments (Proceedings ITC 18, Berlin, Germany, August 31-September 5, 2003). Charzinski, J., Lehnert, R. & Tran Gia, P. (eds.). Amsterdam: North-Holland Publishing Company, p. 601-610

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

Cables
Servers
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
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

Buurtfeest (Column)

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

Research output: Contribution to journalArticlePopular

1 Citation (Scopus)
3 Downloads (Pure)

Cloud provisioning in the QED regime

Sloothaak, F., van Leeuwaarden, J. S. H. & Mathijsen, B. W. J., 2016, VALUETOOLS'15 Proceedings of the 9th EAI International Conference on Performance Evaluation Methodologies and Tools, 14-16 December 2015, Berlin, Germany. New York: Association for Computing Machinery, Inc, p. 180-187

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

Servers
Quality of service
Computer simulation
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
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
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
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
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

Corrected diffusion approximation for many-server queues

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Zwart, B., 2007, Book of Abstracts of the 14th INFORMS Applied Probability Conference, 9-11 July 2007, Eindhoven, The Netherlands. Eindhoven: Eurandom & TU/e, p. 102-

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

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
5 Citations (Scopus)

CSMA networks in a many-sources regime: A mean-field approach

Cecchi, F., Borst, S. C., Van Leeuwaarden, J. S. H. & Whiting, P. A., 27 Jul 2016, IEEE INFOCOM 2016 - 35th Annual IEEE International Conference on Computer Communications. Institute of Electrical and Electronics Engineers, Vol. 2016-July. 9 p. 7524604

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

Carrier sense multiple access
Wireless networks
Throughput
Internet
Experiments
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
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