Charles Knessl

Orcid: 0000-0001-8106-8880

Affiliations:
  • University of Illinois at Chicago, USA


According to our database1, Charles Knessl authored at least 89 papers between 1986 and 2016.

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Bibliography

2016
Asymptotic Analysis of a Storage Allocation Model with Finite Capacity: Joint Distribution.
Adv. Oper. Res., 2016

2015
Transient analysis of the Erlang A model.
Math. Methods Oper. Res., 2015

A note on the transition from diffusion with the flow to diffusion against the flow, for first passage times in singularly perturbed drift-diffusion models.
Asymptot. Anal., 2015

2014
Erratum to: Wireless three-hop networks with stealing II: exact solutions through boundary value problems.
Queueing Syst. Theory Appl., 2014

First response to letter of G. Fayolle and R. Iasnogorodski.
Queueing Syst. Theory Appl., 2014

A Note on a Problem Posed by D. E. Knuth on a Satisfiability Recurrence.
Comb. Probab. Comput., 2014

Expected External Profile of PATRICIA Tries.
Proceedings of the 2014 Proceedings of the Eleventh Workshop on Analytic Algorithmics and Combinatorics, 2014

2013
Wireless three-hop networks with stealing II: exact solutions through boundary value problems.
Queueing Syst. Theory Appl., 2013

On spectral properties of finite population processor shared queues.
Math. Methods Oper. Res., 2013

On the Nonsymmetric Longer Queue Model: Joint Distribution, Asymptotic Properties, and Heavy Traffic Limits.
Adv. Oper. Res., 2013

2012
Counting Markov Types, Balanced Matrices, and Eulerian Graphs.
IEEE Trans. Inf. Theory, 2012

On a Recurrence Arising in Graph Compression.
Electron. J. Comb., 2012

2011
Wireless Multihop Networks with Stealing: Large Buffer Asymptotics via the Ray Method.
SIAM J. Appl. Math., 2011

An asymptotic form for the Stieltjes constants gamma<sub>k</sub>(a) and for a sum S<sub>gamma</sub>(n) appearing under the Li criterion.
Math. Comput., 2011

An effective asymptotic formula for the Stieltjes constants.
Math. Comput., 2011

On a free boundary problem for an American put option under the CEV process.
Appl. Math. Lett., 2011

Two Coupled Queues with Vastly Different Arrival Rates: Critical Loading Case.
Adv. Oper. Res., 2011

On some simple single server models of dynamic storage.
Proceedings of the 6th International Conference on Queueing Theory and Network Applications, 2011

2010
Storage allocation under processor sharing I: exact solutions and asymptotics.
Queueing Syst. Theory Appl., 2010

On a processor sharing queue that models balking.
Math. Methods Oper. Res., 2010

Asymptotic expansions for the sojourn time distribution in the <i>M</i>/<i>G</i>/1-PS queue.
Math. Methods Oper. Res., 2010

Wireless multi-hop networks with stealing: Large buffer asymptotics.
Proceedings of the 22nd International Teletraffic Congress, 2010

2009
Drift-Diffusion Past a Circle: Shadow Region Asymptotics.
SIAM J. Appl. Math., 2009

A Two-Dimensional Diffusion Approximation for a Loss Model with Trunk Reservation.
SIAM J. Appl. Math., 2009

On sojourn times in the finite capacity M/M/1 queue with processor sharing.
Oper. Res. Lett., 2009

2008
Some first passage time problems for the shortest queue model.
Queueing Syst. Theory Appl., 2008

On the number of reachable configurations for the chessboard pebbling problem.
Math. Comput. Model., 2008

A simple direct solution to a storage allocation model.
Appl. Math. Lett., 2008

2007
Asymptotic expansions for the conditional sojourn time distribution in the M/M/1-PS queue.
Queueing Syst. Theory Appl., 2007

2006
Ray Solution of a Singularly Perturbed Elliptic PDE with Applications to Communications Networks.
SIAM J. Appl. Math., 2006

On the infinite server shortest queue problem: Non-symmetric case.
Queueing Syst. Theory Appl., 2006

On the Erlang Loss Model with Time Dependent Input.
Queueing Syst. Theory Appl., 2006

Binary Trees, Left and Right Paths, WKB Expansions, and Painleve Transcendents.
Proceedings of the Third Workshop on Analytic Algorithmics and Combinatorics, 2006

2005
Blocking Probabilities for an Underloaded or Overloaded Link with Trunk Reservation.
SIAM J. Appl. Math., 2005

Enumeration of Binary Trees and Universal Types.
Discret. Math. Theor. Comput. Sci., 2005

Enumeration of Binary Trees, Lempel-Ziv'78 Parsings, and Universal Types.
Proceedings of the Seventh Workshop on Algorithm Engineering and Experiments and the Second Workshop on Analytic Algorithmics and Combinatorics, 2005

2004
On the number of full levels in tries.
Random Struct. Algorithms, 2004

Some Asymptotic Results for the M/M/infinity Queue with Ranked Servers.
Queueing Syst. Theory Appl., 2004

A small elliptic perturbation of a backward-forward parabolic problem with applications to stochastic models.
Appl. Math. Lett., 2004

2003
A Dynamic Priority Queue Model for Simultaneous Service of Two Traffic Types.
SIAM J. Appl. Math., 2003

Heavy Traffic Analysis of Two Coupled Processors.
Queueing Syst. Theory Appl., 2003

Numerical Studies of the Asymptotic Height Distribution in Binary Search Trees.
Discret. Math. Theor. Comput. Sci., 2003

2002
The height of a binary search tree: the limiting distribution perspective.
Theor. Comput. Sci., 2002

An Exact Solution for an M(t)/M(t)/1 Queue with Time-Dependent Arrivals and Service.
Queueing Syst. Theory Appl., 2002

Limit laws for the height in PATRICIA tries.
J. Algorithms, 2002

2001
A simple fluid model for servicing priority traffic.
IEEE Trans. Autom. Control., 2001

On Two-Dimensional Convection-Diffusion Past a Circle.
SIAM J. Appl. Math., 2001

Asymptotic Expansions for the Congestion Period for the M/M/¥ Queue.
Queueing Syst. Theory Appl., 2001

Geometrical optics and chessboard pebbling.
Appl. Math. Lett., 2001

2000
Asymptotic Behavior of the Height in a Digital Search Tree and the Longest Phrase of the Lempel-Ziv Scheme.
SIAM J. Comput., 2000

Probability of Brownian Motion Hitting an Obstacle.
SIAM J. Appl. Math., 2000

Asymptotic Analysis of A Backward-Forward Parabolic Problem for Data-Handling Systems.
SIAM J. Appl. Math., 2000

A Note on the Asymptotic Behavior of the Heights in b-Tries for b Large.
Electron. J. Comb., 2000

Height in a digital search tree and the longest phrase of the Lempel-Ziv scheme.
Proceedings of the Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms, 2000

Heights in Generalized Tries and PATRICIA Tries.
Proceedings of the LATIN 2000: Theoretical Informatics, 2000

1999
Two Tandem Queues with General Renewal Input II: Asymptotic Expansions for the Diffusion Model.
SIAM J. Appl. Math., 1999

Two Tandem Queues with General Renewal Input I: Diffusion Approximation and Integral Representations.
SIAM J. Appl. Math., 1999

Quicksort Algorithm Again Revisited.
Discret. Math. Theor. Comput. Sci., 1999

1998
Heavy Traffic Analysis of a Markov-Modulated Queue with Finite Capacity and General Service Times.
SIAM J. Appl. Math., 1998

An explicit solution to a tandem queueing model.
Queueing Syst. Theory Appl., 1998

Asymptotic Approximations and Bottleneck Analysis in Product Form Queueing Networks with Large Populations.
Perform. Evaluation, 1998

A Note on the Asymptotic Behavior of the Depth of Tries.
Algorithmica, 1998

Quicksort Again Revisited.
Proceedings of the Randomization and Approximation Techniques in Computer Science, 1998

1997
Integral Representations and Asymptotics for Infinite- and Finite-Capacity Queues Described by the Unfinished Work II.
SIAM J. Appl. Math., 1997

Integral Representations and Asymptotics for Infinite- and Finite-Capacity Queues Described by the Unfinished Work I.
SIAM J. Appl. Math., 1997

Asymptotic Analysis of the M/G/1 Queue with a Time-Dependent Arrival Rate.
Queueing Syst. Theory Appl., 1997

1996
Exact and Asymptotic Solutions for the Time-Dependent Problem of Collective Ruin II.
SIAM J. Appl. Math., 1996

A Fork-Join Queueing Model: Diffusion Approximation, Integral Representations and Asymptotics.
Queueing Syst. Theory Appl., 1996

1994
Heavy Traffic Asymptotics for a Gated, Infinite-Server Queue with Uniform Service Times.
SIAM J. Appl. Math., 1994

A Processor-Shared Queue that Models Switching Times: Heavy Usage Asymptotics.
SIAM J. Appl. Math., 1994

Exact and Asymptotic Solutions for the Time-Dependent Problem of Collective Ruin I.
SIAM J. Appl. Math., 1994

On the Distribution of the Maximum Number of Broken Machines for the Repairman Problem.
SIAM J. Appl. Math., 1994

Asymptotic behavior of high-order differences of the plane partition function.
Discret. Math., 1994

1993
The Conditional Sojourn Time Distribution in the GI/M/1 Processor-Sharing Queue in Heavy Traffic.
SIAM J. Appl. Math., 1993

On the Transient Behavior of the Erlang Loss Model: Heavy Usage asymptotics.
SIAM J. Appl. Math., 1993

A Finite Capacity PS Queue Which Models Switching Times.
SIAM J. Appl. Math., 1993

The conditional sojourn time distribution in the GI/M/1 processor-sharing queue in heavy traffic.
Queueing Syst. Theory Appl., 1993

On the Sojourn Time Distribution in a Finite Capacity Processor Shared Queue.
J. ACM, 1993

1992
Asymptotic Expansions for Large Closed Queueing Networks with Multiple Job Classes.
IEEE Trans. Computers, 1992

1991
Heavy-Traffic Analysis of the Sojourn Time in a Three Node Jackson Network with Overtaking.
Queueing Syst. Theory Appl., 1991

1990
Asymptotic Expansions for Large Closed Queuing Networks
J. ACM, January, 1990

An Integral Equation Approach to the M/G/2 Queue.
Oper. Res., 1990

Refinements to Heavy Traffic Limit Theorems in Queueing Theory.
Oper. Res., 1990

1987
Two Parallel M/G/1 Queues where Arrivals Join the System with the Smaller Buffer Content.
IEEE Trans. Commun., 1987

Asymptotic Expansions for a Closed Multiple Access System.
SIAM J. Comput., 1987

Busy Period Distribution in State-Dependent Queues.
Queueing Syst. Theory Appl., 1987

1986
Two Parallel Queues with Dynamic Routing.
IEEE Trans. Commun., 1986

A Markov-Modulated M/G/1 Queue II: Busy Period and Time for Buffer Overflow.
Queueing Syst. Theory Appl., 1986

A Markov-Modulated M/G/1 Queue I: Stationary Distribution.
Queueing Syst. Theory Appl., 1986


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