• 1026 Citations
20022019
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Research Output 2002 2019

2002

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

2003
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
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 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
30 Downloads (Pure)

Moment series inequalities for the discrete-time bulk service queue

Leeuwaarden, van, J. S. H., Denteneer, T. J. J. & Janssen, A. J. E. M., 2003, Eindhoven: Eurandom. 24 p. (Report Eurandom; vol. 2003017)

Research output: Book/ReportReportAcademic

Open Access
File
2004
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
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
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
135 Downloads (Pure)

Quasi-birth-death processes with an explicit rate matrix

Leeuwaarden, van, J. S. H. & Winands, E. M. M., 2004, Eindhoven: Technische Universiteit Eindhoven. 17 p. (SPOR-Report : reports in statistics, probability and operations research; vol. 200408)

Research output: Book/ReportReportAcademic

Open Access
File
63 Downloads (Pure)

Relaxation time for the discrete D/G/1 queue

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2004, Eindhoven: Eurandom. 28 p. (Report Eurandom; vol. 2004039)

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
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
6 Citations (Scopus)

Moment inequalities for the discrete-time bulk service queue

Denteneer, T. J. J., Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2005, In : Mathematical Methods of Operations Research. 61, 1, p. 85-108

Research output: Contribution to journalArticleAcademicpeer-review

Moment Inequalities
Poisson distribution
Queue
Discrete-time
Series
452 Downloads (Pure)

On the application of Rouché's theorem in queueing theory

Adan, I. J. B. F., Leeuwaarden, van, J. S. H. & Winands, E. M. M., 2005, Eindhoven: Technische Universiteit Eindhoven. 7 p. (SPOR-Report : reports in statistics, probability and operations research; vol. 200502)

Research output: Book/ReportReportAcademic

Open Access
File
301 Downloads (Pure)

Queueing models for cable access networks

Leeuwaarden, van, J. S. H., 2005, Eindhoven: Technische Universiteit Eindhoven. 253 p.

Research output: ThesisPhd Thesis 2 (Research NOT TU/e / Graduation TU/e)

Open Access
File
Cables
7 Citations (Scopus)
2 Downloads (Pure)

Relaxation time for the discrete D/G/1 queue

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2005, In : Queueing Systems: Theory and Applications. 50, 1, p. 53-80

Research output: Contribution to journalArticleAcademicpeer-review

Relaxation Time
Relaxation time
Queue
Infinite series
Complementary function

The delayed bulk service queue : a model for a reservation process

Denteneer, T. J. J. & Leeuwaarden, van, J. S. H., 2005, Performance challenges for efficient next generation networks (Proceedings 19th International Teletraffic Congress, ITC19, Beijing, China, August 29-September 2, 2005). Liang, X., Xin, Z., Iversen, V. B. & Kuo, G. S. (eds.). Beijing: Beijing University of Posts and Telecommunications Press, p. 909-918

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

2006
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
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
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
38 Citations (Scopus)
146 Downloads (Pure)

Delay analysis for the fixed-cycle traffic-light queue

Leeuwaarden, van, J. S. H., 2006, Eindhoven: Eurandom. 16 p. (Report Eurandom; vol. 2006014)

Research output: Book/ReportReportAcademic

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

On the application of Rouché's theorem in queueing theory

Adan, I. J. B. F., Leeuwaarden, van, J. S. H. & Winands, E. M. M., 2006, In : Operations Research Letters. 34, 3, p. 355-360

Research output: Contribution to journalArticleAcademicpeer-review

Queueing theory
Queueing Theory
Queue Length Distribution
Radius of convergence
Zero
19 Citations (Scopus)
3 Downloads (Pure)

Quasi-birth-and-death processes with an explicit rate matrix

Leeuwaarden, van, J. S. H. & Winands, E. M. M., 2006, In : Stochastic Models. 22, 1, p. 77-98

Research output: Contribution to journalArticleAcademicpeer-review

Quasi-birth-and-death Process
Matrix-geometric Method
Counting Problems
Lattice Paths
Equilibrium Distribution
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

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

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

Explicit solutions and decay rates for a general class of Markov chains

Leeuwaarden, van, J. S. H., Squillante, M. S. & Winands, E. M. M., 2007, Book of Abstracts of the 14th INFORMS Applied Probability Conference, July 9-11, 2007. Eindhoven: Eurandom & TU/e, p. 137-

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

Explicit Solution
Decay Rate
Markov chain
Fundamental Solution
Tail Asymptotics
86 Downloads (Pure)

Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula

Janssen, A. J. E. M., Leeuwaarden, van, J. S. H. & Zwart, B., 2007, Eindhoven: Eurandom. 23 p. (Report Eurandom; vol. 2007060)

Research output: Book/ReportReportAcademic

Open Access
File
29 Downloads (Pure)

Hitting times for multiplicative growth-collapse processes

Löpker, A. H. & Leeuwaarden, van, J. S. H., 2007, Eindhoven: Eurandom. 13 p. (Report Eurandom; vol. 2007049)

Research output: Book/ReportReportAcademic

Open Access
File
55 Downloads (Pure)

On Lerch's transcendent and the Gaussian random walk

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2007, Eindhoven: Eurandom. 16 p. (Report Eurandom; vol. 2007021)

Research output: Book/ReportReportAcademic

Open Access
File
24 Citations (Scopus)
54 Downloads (Pure)

On Lerch's transcendent and the Gaussian random walk

Janssen, A. J. E. M. & Leeuwaarden, van, J. S. H., 2007, In : The Annals of Applied Probability. 17, 2, p. 421-439

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Gaussian distribution
Random walk
Normal distribution
59 Downloads (Pure)

Quasi-birth-and-death processes, lattice path counting, and hypergeometric functions

Leeuwaarden, van, J. S. H., Squillante, M. S. & Winands, E. M. M., 2007, Eindhoven: Technische Universiteit Eindhoven. 16 p. (Report Eurandom; vol. 2007061)

Research output: Book/ReportReportAcademic

Open Access
File
Quasi-birth-and-death Process
Lattice Paths
Counting Function
Hypergeometric Functions
Path Decomposition

Sampling for the maximum of Brownian motion

Leeuwaarden, van, J. S. H., 2007, Book of Abstracts of the 14th INFORMS Applied Probability Conference, 9-11 July 2007, Eindhoven, The Netherlands. Eindhoven: Eurandom & TU/e, p. 142-

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

3 Citations (Scopus)
2 Downloads (Pure)

The acquisition queue

Denteneer, T. J. J., Leeuwaarden, van, J. S. H. & Adan, I. J. B. F., 2007, In : Queueing Systems: Theory and Applications. 56, 3-4, p. 229-240

Research output: Contribution to journalArticleAcademicpeer-review

Queue
Servers
Queue Length
Server
Customers
3 Citations (Scopus)
22 Downloads (Pure)

The acquisition queue

Denteneer, T. J. J., Leeuwaarden, van, J. S. H. & Adan, I. J. B. F., 2007, Eindhoven: Eurandom. 18 p. (Report Eurandom; vol. 2007020)

Research output: Book/ReportReportAcademic

Open Access
File

Transient analysis and asymptotic of the mean of the first hitting time for a TCP window size process

Löpker, A. H. & Leeuwaarden, van, J. S. H., 2007, Book of Abstracts of the 14th INFORMS Applied Probability Conference, 9-11 July 2007, Eindhoven, The Netherlands. Eindhoven: Eurandom & TU/e, p. 135-

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

29 Downloads (Pure)

Transient moments of the window size in TCP

Löpker, A. H. & Leeuwaarden, van, J. S. H., 2007, Eindhoven: Eurandom. 13 p. (Report Eurandom; vol. 2007019)

Research output: Book/ReportReportAcademic

Open Access
File
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
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
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
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
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
25 Citations (Scopus)
3 Downloads (Pure)
Poisson distribution
Distribution functions
Asymptotic Expansion
Normal distribution
Random variables

Multiaccess, reservations & queues

Denteneer, T. J. J. & Leeuwaarden, van, J. S. H., 2008, Berlin: Springer. 254 p. (Philips research book series; vol. 10)

Research output: Book/ReportBookAcademic

Data communication systems
Cables
Telecommunication networks
Mathematical models
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