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## Knessl, Charles

Compute Distance To:
 Author ID: knessl.charles Published as: Knessl, C.; Knessl, Charles Homepage: http://homepages.math.uic.edu/~knessl/ External Links: MGP · ORCID · dblp
 Documents Indexed: 177 Publications since 1984
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#### Co-Authors

 30 single-authored 36 Tier, Charles 20 Matkowsky, Bernard J. 19 Schuss, Zeev 19 Szpankowski, Wojciech 12 Keller, Joseph Bishop 11 Morrison, John A. 10 van Leeuwaarden, Johan S. H. 10 Zhen, Qiang 8 Sohn, Eunju 7 Yang, Yongzhi 7 Yao, Haishen 6 Dominici, Diego Ernesto 5 Tan, Xiaoming 4 Guillemin, Fabrice M. 3 Jacquet, Philippe 3 Lynch, Sean B. 3 Tan, Xiaoqian 3 Yang, Yongzhi Peter 2 Choi, Doo Il 2 Choi, Yongwook 2 Coffey, Mark William 2 Hu, Fannu 2 Peters, Craig Steven 2 Xie, Shisheng 1 Ahluwalia, Daljit Singh 1 Coffman, Edward Grady jun. 1 Flatto, Leopold 1 Fralix, Brian H. 1 Kath, William L. 1 Magner, Abram 1 Mangel, Marc 1 Mitrani, Isi 1 Shepp, Lawrence Alan 1 Xu, Miao
all top 5

#### Serials

 34 SIAM Journal on Applied Mathematics 20 Queueing Systems 16 Studies in Applied Mathematics 10 Communications in Statistics. Stochastic Models 10 European Journal of Applied Mathematics 6 Applied Mathematics Letters 5 Journal of Applied Mathematics and Stochastic Analysis 4 Advances in Applied Probability 4 Mathematical Methods of Operations Research 4 AMRX. Applied Mathematics Research eXpress 3 Journal of Mathematical Physics 3 Discrete Mathematics and Theoretical Computer Science. DMTCS 3 Stochastic Models 3 Advances in Operations Research 2 IMA Journal of Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Statistical Physics 2 Mathematics of Computation 2 IEEE Transactions on Automatic Control 2 Journal of the Association for Computing Machinery 2 Operations Research 2 SIAM Journal on Computing 2 Asymptotic Analysis 2 Stochastic Processes and their Applications 2 The Electronic Journal of Combinatorics 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Rocky Mountain Journal of Mathematics 1 IEEE Transactions on Communications 1 IEEE Transactions on Computers 1 Theoretical Computer Science 1 Journal of Algorithms 1 Operations Research Letters 1 Algorithmica 1 Mathematical and Computer Modelling 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 SIAM Review 1 The Canadian Applied Mathematics Quarterly 1 Combinatorics, Probability and Computing 1 Applied Mathematical Finance 1 Journal of Difference Equations and Applications 1 Probability in the Engineering and Informational Sciences 1 Online Journal of Analytic Combinatorics 1 Stochastic Systems
all top 5

#### Fields

 111 Probability theory and stochastic processes (60-XX) 79 Operations research, mathematical programming (90-XX) 38 Computer science (68-XX) 31 Ordinary differential equations (34-XX) 14 Combinatorics (05-XX) 14 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 7 Approximations and expansions (41-XX) 6 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

137 Publications have been cited 517 times in 336 Documents Cited by Year
An effective asymptotic formula for the Stieltjes constants. Zbl 1208.41020
Knessl, Charles; Coffey, Mark W.
2011
A variational approach to nonlinear singularly perturbed boundary-value problems. Zbl 0655.34017
Kath, W. L.; Knessl, C.; Matkowsky, B. J.
1987
An asymptotic theory of large deviations for Markov jump processes. Zbl 0582.60081
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1985
Spectral gap of the Erlang A model in the Halfin-Whitt regime. Zbl 1296.60256
van Leeuwaarden, Johan S. H.; Knessl, Charles
2012
An asymptotic form for the Stieltjes constants $$\gamma_{k}(a)$$ and for a sum $$S_{\gamma}(n)$$ appearing under the Li criterion. Zbl 1252.11065
Knessl, Charles; Coffey, Mark W.
2011
Exact and asymptotic solutions to a PDE that arises in time-dependent queues. Zbl 0971.60068
Knessl, Charles
2000
Partition asymptotics from recursion equation. Zbl 0718.11052
Knessl, Charles; Keller, Joseph B.
1990
Transient behavior of the Halfin-Whitt diffusion. Zbl 1235.60133
van Leeuwaarden, Johan S. H.; Knessl, Charles
2011
Integral representations and asymptotic expansions for Shannon and Renyi entropies. Zbl 1337.94007
Knessl, C.
1998
A Markov-modulated M/G/1 queue. I: Stationary distribution. Zbl 0662.60099
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
Some asymptotic results for the $$M/M/\infty$$ queue with ranked servers. Zbl 1048.90077
Knessl, Charles
2004
Quicksort algorithm again revisited. Zbl 0947.68042
Knessl, Charles; Szpankowski, Wojciech
1999
Asymptotic analysis of a state-dependent M/G/1 queueing system. Zbl 0603.60087
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1986
Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems. Zbl 1266.90074
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
2013
On the transient behavior of the Erlang loss model: Heavy usage asymptotics. Zbl 0776.60118
Xie, Shisheng; Knessl, Charles
1993
A note on a moving boundary problem arising in the American put option. Zbl 1152.91522
Knessl, Charles
2001
Asymptotic expansions for a stochastic model of queue storage. Zbl 1056.60095
Knessl, Charles
2000
A queueing system with queue length dependent service times, with applications to cell discarding in ATM networks. Zbl 0936.60086
Choi, Doo Il; Knessl, Charles; Tier, Charles
1999
On the sojourn time distribution in a finite capacity processor shared queue. Zbl 0795.68020
Knessl, Charles
1993
Heavy-traffic analysis of a data-handling system with many sources. Zbl 0716.60115
Knessl, Charles; Morrison, J. A.
1991
On the transient behavior of the M/M/m/m loss model. Zbl 0706.60088
Knessl, Charles
1990
A singular perturbation approach to first passage times for Markov jump processes. Zbl 0629.60094
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1986
A simple direct solution to a storage allocation model. Zbl 1131.39004
Sohn, Eunju; Knessl, Charles
2008
On the infinite server shortest queue problem: non-symmetric case. Zbl 1091.60033
Yao, Haishen; Knessl, Charles
2006
Heavy traffic analysis of two coupled processors. Zbl 1013.90046
Knessl, Charles; Morrison, John A.
2003
An exact solution for an $$\text{M}(t)/\text{M}(t)/1$$ queue with time-dependent arrivals and service. Zbl 0993.90028
Knessl, Charles; Yang, Yongzhi Peter
2002
Analysis of a Brownian particle moving in a time-dependent drift field. Zbl 1012.60073
Knessl, Charles; Yang, Yongzhi
2001
A fork-join queueing model: Diffusion approximation, integral representations and asymptotics. Zbl 0860.60078
Tan, Xiaoming; Knessl, Charles
1996
Asymptotic expansions for large closed queueing networks. Zbl 0698.68036
Knessl, Charles; Tier, Charles
1990
On finite capacity processor-shared queues. Zbl 0686.90022
Knessl, Charles
1990
Two parallel queues with dynamic routing. Zbl 0612.60086
Knessl, Charles; Matkowsky, Bernard J.; Schuss, Zeev; Tier, Charles
1986
First passage times for processes governed by master equations. Zbl 0568.60071
Matkowsky, B. J.; Schuss, Z.; Knessl, C.; Tier, C.; Mangel, M.
1984
Wireless multihop networks with stealing: large buffer asymptotics via the ray method. Zbl 1238.60102
Guillemin, Fabrice; Knessl, Charles; Van Leeuwaarden, Johan S. H.
2011
On a free boundary problem for an American put option under the CEV process. Zbl 1211.91242
Xu, Miao; Knessl, Charles
2011
The distribution of wasted spaces in the $$M/M/\infty$$ queue with ranked servers. Zbl 1155.60042
Sohn, Eunju; Knessl, Charles
2008
On the infinite server shortest queue problem: symmetric case. Zbl 1080.60087
Yao, Haishen; Knessl, Charles
2005
Geometrical optics and models of computer memory fragmentation. Zbl 1141.68352
Knessl, Charles
2003
Asymptotic analysis of the American call option with dividends. Zbl 1049.91075
Knessl, Charles
2002
Stability of linear shear flows in shallow water. Zbl 0853.76022
Knessl, Charles; Keller, Joseph B.
1995
On the diffusion approximation to a fork and join queueing model. Zbl 0716.60111
Knessl, Charles
1991
Stochastic models of queue storage. Zbl 1134.60391
Coffman, E. G. jun.; Flatto, L.; Mitrani, I.; Shepp, L. A.; Knessl, C.
1988
Busy period distribution in state-dependent queues. Zbl 0661.60115
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
On the performance of state-dependent single server queues. Zbl 0607.60087
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1986
First passage times to congested states of many-server systems in the Halfin-Whitt regime. Zbl 1303.60086
Fralix, Brian; Knessl, Charles; van Leeuwaarden, Johan S. H.
2014
On the shortest queue version of the Erlang loss model. Zbl 1186.90041
Yao, Haishen; Knessl, Charles
2008
Asymptotic expansions for the conditional sojourn time distribution in the $$M/M/1$$-PS queue. Zbl 1176.90135
Zhen, Qiang; Knessl, Charles
2007
A simple fluid model for servicing priority traffic. Zbl 1017.90012
Knessl, Charles; Tier, Charles
2001
Asymptotic behavior of the height in a digital search tree and the longest phrase of the Lempel–Ziv scheme. Zbl 0968.68067
Knessl, Charles; Szpankowski, Wojciech
2000
Asymptotic analysis of the $$M/G/1$$ queue with a time-dependent arrival rate. Zbl 0901.60066
Yang, Yongzhi; Knessl, Charles
1997
Applications of singular perturbation methods in queueing. Zbl 0898.60092
Knessl, Charles; Tier, Charles
1995
Stability of rotating shear flows in shallow water. Zbl 0760.76029
Knessl, Charles; Keller, Joseph B.
1992
Asymptotic approximations for the $$GI/M/1$$ queue with processor-sharing service. Zbl 0759.60098
Knessl, Charles
1992
Asymptotic behavior of high-order differences of the partition function. Zbl 0751.11048
Knessl, Charles; Keller, Joseph B.
1991
A Markov-modulated M/G/1 queue. II: Busy period and time for buffer overflow. Zbl 0662.60100
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
On finite capacity queues with time dependent arrival rates. Zbl 1295.60104
Tan, Xiaoqian; Knessl, Charles; Yang, Yongzhi (Peter)
2013
Asymptotic expansions for the sojourn time distribution in the $$M/G/1$$-PS queue. Zbl 1189.93132
Zhen, Qiang; Knessl, Charles
2010
On sojourn times in the finite capacity $$M/M/1$$ queue with processor sharing. Zbl 1176.90136
Zhen, Qiang; Knessl, Charles
2009
On the Erlang loss model with time dependent input. Zbl 1142.60402
Knessl, Charles; Yang, Yongzhi Peter
2006
Enumeration of binary trees and universal types. Zbl 1153.05307
Knessl, Charles; Szpankowski, Wojciech
2005
Knessl, Charles; Morrison, John A.
2005
Asymptotic and numerical studies of the leader election algorithm. Zbl 1005.60023
Knessl, Charles
2001
On two-dimensional convection-diffusion past a circle. Zbl 1103.35319
Knessl, Charles
2001
Heigths in generalized tries and PATRICIA tries. Zbl 0962.68040
Knessl, Charles; Szpankowski, Wojciech
2000
A new heavy traffic limit for the asymmetric shortest queue problem. Zbl 0976.60090
Knessl, Charles
1999
A diffusion model for two tandem queues with general renewal input. Zbl 0930.60084
Knessl, Charles; Tier, Charles
1999
An explicit solution to a tandem queueing model. Zbl 0919.90067
Knessl, Charles
1998
Advection-diffusion past a strip. I: Normal incidence. Zbl 0882.76087
Knessl, Charles; Keller, Joseph B.
1997
Rossby waves. Zbl 0833.76014
Knessl, Charles; Keller, Joseph B.
1995
On the diffusion approximation to two parallel queues with processor sharing. Zbl 0738.60093
Knessl, Charles
1991
An integral equation approach to the M/G/2 queue. Zbl 0705.60084
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1990
Approximations to the moments of the sojourn time in a tandem queue with overtaking. Zbl 0701.60093
Knessl, Charles; Tier, Charles
1990
The two repairmen problem: A finite source M/G/2 queue. Zbl 0618.60096
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
Distribution of the maximum buffer content during a busy period for state-dependent M/G/1 queues. Zbl 0618.60093
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
First response to letter of G. Fayolle and R. Iasnogorodski. Zbl 1303.90029
Guillemin, F.; Knessl, C.; van Leeuwaarden, J. S. H.
2014
Asymptotic analysis of spectral properties of finite capacity processor shared queues. Zbl 1418.34157
Zhen, Qiang; Knessl, Charles
2013
On the nonsymmetric longer queue model: joint distribution, asymptotic properties, and heavy traffic limits. Zbl 1264.90059
Knessl, Charles; Yao, Haishen
2013
Asymptotic analysis of a family of polynomials associated with the inverse error function. Zbl 1259.34047
Dominici, Diego; Knessl, Charles
2012
Storage allocation under processor sharing. II: Further asymptotic results. Zbl 1207.90042
Sohn, Eunju; Knessl, Charles
2011
On a processor sharing queue that models balking. Zbl 1203.93153
Zhen, Qiang; van Leeuwaarden, Johan S. H.; Knessl, Charles
2010
Storage allocation under processor sharing. I: Exact solutions and asymptotics. Zbl 1187.90103
Sohn, Eunju; Knessl, Charles
2010
Asymptotic analysis of a loss model with trunk reservation. II: Trunks reserved for slow traffic. Zbl 1167.90454
Morrison, John A.; Knessl, Charles
2009
Asymptotic analysis of a loss model with trunk reservation. I: Trunks reserved for fast traffic. Zbl 1159.90328
Morrison, John A.; Knessl, Charles
2008
On the number of reachable configurations for the chessboard pebbling problem. Zbl 1147.05004
Knessl, Charles
2008
Geometrical optics approach to Markov-modulated fluid models. Zbl 1145.35467
Dominici, Diego; Knessl, Charles
2005
Asymptotic analysis by the saddle point method of the Anick-Mitra-Sondhi model. Zbl 1063.60133
Dominici, Diego; Knessl, Charles
2004
On the number of full levels in tries. Zbl 1077.68022
Knessl, Charles; Szpankowski, Wojciech
2004
The height of a binary search tree: the limiting distribution perspective. Zbl 1061.68039
Knessl, Charles; Szpankowski, Wojciech
2002
A dynamic priority queue model for simultaneous service of two traffic types. Zbl 1034.60082
Knessl, Charles; Choi, Doo Il; Tier, Charles
2002
Geometrical optics and chessboard pebbling. Zbl 0968.05007
Knessl, C.
2001
Two tandem queues with general renewal input. II: Asymptotic expansions for the diffusion model. Zbl 0935.60075
Knessl, Charles; Tier, Charles
1999
Advection-diffusion around a curved obstacle. Zbl 0946.76092
Ahluwalia, Daljit S.; Keller, Joseph B.; Knessl, Charles
1998
Heavy traffic analysis of a Markov-modulated queue with finite capacity and general service times. Zbl 0915.60082
Knessl, Charles; Tier, Charles
1998
Exact and asymptotic solutions for the time-dependent problem of collective ruin. I. Zbl 0811.60088
Knessl, Charles; Peters, Craig Steven
1994
Heavy-traffic analysis of the sojourn time in a three node Jackson network with overtaking. Zbl 0729.60088
Knessl, C.; Morrison, J. A.
1991
On the transient behavior of the repairman problem. Zbl 0727.60108
Knessl, Charles
1991
Asymptotic properties of eigenvalues of integral equations. Zbl 0725.45001
Knessl, Charles; Keller, Joseph B.
1991
Heavy traffic analysis of the sojourn time in tandem queues with overtaking. Zbl 0742.60104
Knessl, C.; Morrison, J. A.
1991
Stirling number asymptotics from recursion equations using the ray method. Zbl 0735.05006
Knessl, Charles; Keller, Joseph B.
1991
Response times in processor-shared queues with state-dependent arrival rates. Zbl 0668.60086
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1989
Asymptotic expansions for a closed multiple access system. Zbl 0612.90046
Knessl, C.; Matkowsky, B. J.; Schuss, Z.; Tier, C.
1987
On a storage allocation model with finite capacity. Zbl 1387.60140
Sohn, Eunju; Knessl, Charles
2016
Transient analysis of the Erlang A model. Zbl 1335.60171
Knessl, Charles; van Leeuwaarden, Johan S. H.
2015
First passage times to congested states of many-server systems in the Halfin-Whitt regime. Zbl 1303.60086
Fralix, Brian; Knessl, Charles; van Leeuwaarden, Johan S. H.
2014
First response to letter of G. Fayolle and R. Iasnogorodski. Zbl 1303.90029
Guillemin, F.; Knessl, C.; van Leeuwaarden, J. S. H.
2014
Erratum to: “Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems”. Zbl 1299.90098
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
2014
A note on a problem posed by D. E. Knuth on a satisfiability recurrence. Zbl 1298.68070
Jacquet, Philippe; Knessl, Charles; Szpankowski, Wojciech
2014
Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems. Zbl 1266.90074
Guillemin, Fabrice; Knessl, Charles; van Leeuwaarden, Johan S. H.
2013
On finite capacity queues with time dependent arrival rates. Zbl 1295.60104
Tan, Xiaoqian; Knessl, Charles; Yang, Yongzhi (Peter)
2013
Asymptotic analysis of spectral properties of finite capacity processor shared queues. Zbl 1418.34157
Zhen, Qiang; Knessl, Charles
2013
On the nonsymmetric longer queue model: joint distribution, asymptotic properties, and heavy traffic limits. Zbl 1264.90059
Knessl, Charles; Yao, Haishen
2013
On spectral properties of finite population processor shared queues. Zbl 1278.90107
Zhen, Qiang; Knessl, Charles
2013
An explicit solution to the chessboard pebbling problem. Zbl 1260.05030
Zhen, Qiang; Knessl, Charles
2013
Spectral gap of the Erlang A model in the Halfin-Whitt regime. Zbl 1296.60256
van Leeuwaarden, Johan S. H.; Knessl, Charles
2012
Asymptotic analysis of a family of polynomials associated with the inverse error function. Zbl 1259.34047
Dominici, Diego; Knessl, Charles
2012
Singular perturbation analysis of drift-diffusion past a circle: shadow region. Zbl 1329.76321
Lynch, Sean; Knessl, Charles
2012
An effective asymptotic formula for the Stieltjes constants. Zbl 1208.41020
Knessl, Charles; Coffey, Mark W.
2011
An asymptotic form for the Stieltjes constants $$\gamma_{k}(a)$$ and for a sum $$S_{\gamma}(n)$$ appearing under the Li criterion. Zbl 1252.11065
Knessl, Charles; Coffey, Mark W.
2011
Transient behavior of the Halfin-Whitt diffusion. Zbl 1235.60133
van Leeuwaarden, Johan S. H.; Knessl, Charles
2011
Wireless multihop networks with stealing: large buffer asymptotics via the ray method. Zbl 1238.60102
Guillemin, Fabrice; Knessl, Charles; Van Leeuwaarden, Johan S. H.
2011
On a free boundary problem for an American put option under the CEV process. Zbl 1211.91242
Xu, Miao; Knessl, Charles
2011
Storage allocation under processor sharing. II: Further asymptotic results. Zbl 1207.90042
Sohn, Eunju; Knessl, Charles
2011
Asymptotic expansions for the sojourn time distribution in the $$M/G/1$$-PS queue. Zbl 1189.93132
Zhen, Qiang; Knessl, Charles
2010
On a processor sharing queue that models balking. Zbl 1203.93153
Zhen, Qiang; van Leeuwaarden, Johan S. H.; Knessl, Charles
2010
Storage allocation under processor sharing. I: Exact solutions and asymptotics. Zbl 1187.90103
Sohn, Eunju; Knessl, Charles
2010
Counting Markov types. Zbl 1355.05023
Jacquet, Philippe; Knessl, Charles; Szpankowski, Wojciech
2010
Asymptotics of barrier option pricing under the CEV process. Zbl 1233.91275
Hu, Fannu; Knessl, Charles
2010
On sojourn times in the finite capacity $$M/M/1$$ queue with processor sharing. Zbl 1176.90136
Zhen, Qiang; Knessl, Charles
2009
Asymptotic analysis of a loss model with trunk reservation. II: Trunks reserved for slow traffic. Zbl 1167.90454
Morrison, John A.; Knessl, Charles
2009
On the average profile of symmetric digital search trees. Zbl 1211.68131
Knessl, Charles; Szpankowski, Wojciech
2009
On sojourn times in the $$M/M/1$$-PS model, conditioned on the number of other users. Zbl 1197.60088
Zhen, Qiang; Knessl, Charles
2009
Drift-diffusion past a circle: shadow region asymptotics. Zbl 1188.41024
Lynch, Sean; Knessl, Charles
2009
A two-dimensional diffusion approximation for a loss model with trunk reservation. Zbl 1181.60140
Knessl, Charles; Morrison, John A.
2009
A simple direct solution to a storage allocation model. Zbl 1131.39004
Sohn, Eunju; Knessl, Charles
2008
The distribution of wasted spaces in the $$M/M/\infty$$ queue with ranked servers. Zbl 1155.60042
Sohn, Eunju; Knessl, Charles
2008
On the shortest queue version of the Erlang loss model. Zbl 1186.90041
Yao, Haishen; Knessl, Charles
2008
Asymptotic analysis of a loss model with trunk reservation. I: Trunks reserved for fast traffic. Zbl 1159.90328
Morrison, John A.; Knessl, Charles
2008
On the number of reachable configurations for the chessboard pebbling problem. Zbl 1147.05004
Knessl, Charles
2008
Asymptotic expansions for the conditional sojourn time distribution in the $$M/M/1$$-PS queue. Zbl 1176.90135
Zhen, Qiang; Knessl, Charles
2007
On the infinite server shortest queue problem: non-symmetric case. Zbl 1091.60033
Yao, Haishen; Knessl, Charles
2006
On the Erlang loss model with time dependent input. Zbl 1142.60402
Knessl, Charles; Yang, Yongzhi Peter
2006
On the joint path length distribution in random binary trees. Zbl 1145.05318
Knessl, Charles; Szpankowski, Wojciech
2006
Ray solution of singularly perturbed elliptic PDE with applications to communications networks. Zbl 1114.35057
Dominici, Diego; Knessl, Charles
2006
On the infinite server shortest queue problem: symmetric case. Zbl 1080.60087
Yao, Haishen; Knessl, Charles
2005
Enumeration of binary trees and universal types. Zbl 1153.05307
Knessl, Charles; Szpankowski, Wojciech
2005
Knessl, Charles; Morrison, John A.
2005
Geometrical optics approach to Markov-modulated fluid models. Zbl 1145.35467
Dominici, Diego; Knessl, Charles
2005
Some asymptotic results for the $$M/M/\infty$$ queue with ranked servers. Zbl 1048.90077
Knessl, Charles
2004
Asymptotic analysis by the saddle point method of the Anick-Mitra-Sondhi model. Zbl 1063.60133
Dominici, Diego; Knessl, Charles
2004
On the number of full levels in tries. Zbl 1077.68022
Knessl, Charles; Szpankowski, Wojciech
2004
Heavy traffic analysis of two coupled processors. Zbl 1013.90046
Knessl, Charles; Morrison, John A.
2003
Geometrical optics and models of computer memory fragmentation. Zbl 1141.68352
Knessl, Charles
2003
An exact solution for an $$\text{M}(t)/\text{M}(t)/1$$ queue with time-dependent arrivals and service. Zbl 0993.90028
Knessl, Charles; Yang, Yongzhi Peter
2002
Asymptotic analysis of the American call option with dividends. Zbl 1049.91075
Knessl, Charles
2002
The height of a binary search tree: the limiting distribution perspective. Zbl 1061.68039
Knessl, Charles; Szpankowski, Wojciech
2002
A dynamic priority queue model for simultaneous service of two traffic types. Zbl 1034.60082
Knessl, Charles; Choi, Doo Il; Tier, Charles
2002
Limit laws for the height in PATRICIA tries. Zbl 1011.68029
Knessl, Charles; Szpankowski, Wojciech
2002
A note on a moving boundary problem arising in the American put option. Zbl 1152.91522
Knessl, Charles
2001
Analysis of a Brownian particle moving in a time-dependent drift field. Zbl 1012.60073
Knessl, Charles; Yang, Yongzhi
2001
A simple fluid model for servicing priority traffic. Zbl 1017.90012
Knessl, Charles; Tier, Charles
2001
Asymptotic and numerical studies of the leader election algorithm. Zbl 1005.60023
Knessl, Charles
2001
On two-dimensional convection-diffusion past a circle. Zbl 1103.35319
Knessl, Charles
2001
Geometrical optics and chessboard pebbling. Zbl 0968.05007
Knessl, C.
2001
Asymptotic expansions for the congestion period for the M/M/$$\infty$$ queue. Zbl 0989.60090
Knessl, Charles; Yang, Yongzhi Peter
2001
Exact and asymptotic solutions to a PDE that arises in time-dependent queues. Zbl 0971.60068
Knessl, Charles
2000
Asymptotic expansions for a stochastic model of queue storage. Zbl 1056.60095
Knessl, Charles
2000
Asymptotic behavior of the height in a digital search tree and the longest phrase of the Lempel–Ziv scheme. Zbl 0968.68067
Knessl, Charles; Szpankowski, Wojciech
2000
Heigths in generalized tries and PATRICIA tries. Zbl 0962.68040
Knessl, Charles; Szpankowski, Wojciech
2000
Geometric optics approach to first-passage distributions: Caustic boundaries and exponentially small eigenvalues. Zbl 1004.60079
Knessl, Charles
2000
Height in a digital search tree and the longest phrase of the Lempel-Ziv scheme. Zbl 0961.68103
Knessl, Charles; Szpankowski, Wojciech
2000
Probability of Brownian motion hitting an obstacle. Zbl 0944.60083
Knessl, Charles; Keller, Joseph B.
2000
Quicksort algorithm again revisited. Zbl 0947.68042
Knessl, Charles; Szpankowski, Wojciech
1999
A queueing system with queue length dependent service times, with applications to cell discarding in ATM networks. Zbl 0936.60086
Choi, Doo Il; Knessl, Charles; Tier, Charles
1999
A new heavy traffic limit for the asymmetric shortest queue problem. Zbl 0976.60090
Knessl, Charles
1999
A diffusion model for two tandem queues with general renewal input. Zbl 0930.60084
Knessl, Charles; Tier, Charles
1999
Two tandem queues with general renewal input. II: Asymptotic expansions for the diffusion model. Zbl 0935.60075
Knessl, Charles; Tier, Charles
1999
A diffusion model for two parallel queues with processor sharing: Transient behavior and asymptotics. Zbl 0983.60086
Knessl, Charles
1999
Two tandem queues with general renewal input. I: Diffusion approximation and integral representations. Zbl 0935.60074
Knessl, Charles; Tier, Charles
1999
Integral representations and asymptotic expansions for Shannon and Renyi entropies. Zbl 1337.94007
Knessl, C.
1998
An explicit solution to a tandem queueing model. Zbl 0919.90067
Knessl, Charles
1998
Advection-diffusion around a curved obstacle. Zbl 0946.76092
Ahluwalia, Daljit S.; Keller, Joseph B.; Knessl, Charles
1998
Heavy traffic analysis of a Markov-modulated queue with finite capacity and general service times. Zbl 0915.60082
Knessl, Charles; Tier, Charles
1998
Asymptotic analysis of the $$M/G/1$$ queue with a time-dependent arrival rate. Zbl 0901.60066
Yang, Yongzhi; Knessl, Charles
1997
Advection-diffusion past a strip. I: Normal incidence. Zbl 0882.76087
Knessl, Charles; Keller, Joseph B.
1997
Advection-diffusion past a strip. II: Oblique incidence. Zbl 0892.35126
Knessl, Charles; Keller, Joseph B.
1997
A fork-join queueing model: Diffusion approximation, integral representations and asymptotics. Zbl 0860.60078
Tan, Xiaoming; Knessl, Charles
1996
Asymptotic properties of first passage times for two tandem queues: Time to empty the system. Zbl 0873.60065
Knessl, Charles; Tier, Charles
1996
Exact and asymptotic solutions for the time-dependent problem of collective ruin. II. Zbl 0879.60104
Knessl, Charles; Peters, Craig Steven
1996
Stability of linear shear flows in shallow water. Zbl 0853.76022
Knessl, Charles; Keller, Joseph B.
1995
Applications of singular perturbation methods in queueing. Zbl 0898.60092
Knessl, Charles; Tier, Charles
1995
Rossby waves. Zbl 0833.76014
Knessl, Charles; Keller, Joseph B.
1995
Asymptotic properties of first passage times for tandem Jackson networks. I: Buildup of large queue lengths. Zbl 0817.60091
Knessl, Charles; Tier, Charles
1995
Exact and asymptotic solutions for the time-dependent problem of collective ruin. I. Zbl 0811.60088
Knessl, Charles; Peters, Craig Steven
1994
On the distribution of the maximum number of broken machines for the repairman problem. Zbl 0796.60097
Knessl, Charles
1994
On the transient behavior of the Erlang loss model: Heavy usage asymptotics. Zbl 0776.60118
Xie, Shisheng; Knessl, Charles
1993
On the sojourn time distribution in a finite capacity processor shared queue. Zbl 0795.68020
Knessl, Charles
1993
Sojourn time distribution in some processor-shared queues. Zbl 0805.90047
Tan, Xiaoming; Knessl, Charles
1993
Asymptotic evaluation of oscillatory sums. Zbl 0804.40002
Keller, Joseph B.; Knessl, Charles
1993
Conditional sojourn time moments in the finite capacity $$GI/M/1$$ queue with processor-sharing service. Zbl 0785.60044
Yang, Yongzhi; Knessl, Charles
1993
The conditional sojourn time distribution in the $$GI/M/1$$ processor- sharing queue in heavy traffic. Zbl 0780.60097
Tan, Xiaoming; Yang, Yongzhi; Knessl, Charles
1993
Stability of rotating shear flows in shallow water. Zbl 0760.76029
Knessl, Charles; Keller, Joseph B.
1992
...and 37 more Documents
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#### Cited by 467 Authors

 60 Knessl, Charles 11 van Leeuwaarden, Johan S. H. 9 Morrison, John A. 9 Schuss, Zeev 8 Dominici, Diego Ernesto 8 Matkowsky, Bernard J. 8 Tier, Charles 7 Sohn, Eunju 7 Ward, Michael J. 6 Adan, Ivo J. B. F. 6 Coffey, Mark William 6 Zhen, Qiang 5 El-hady, El-sayed 5 Fill, James Allen 5 Szpankowski, Wojciech 4 Guillemin, Fabrice M. 4 Keller, Joseph Bishop 4 Perry, David 4 Yang, Yongzhi 4 Yao, Haishen 4 Zeifman, Alexander Izrailevich 3 Blagouchine, Iaroslav V. 3 Choi, Doo Il 3 Devroye, Luc P. J. A. 3 Le Dizès, Stéphane 3 Mallier, Roland 3 Mukherjee, Debankur 3 Pacheco, António 3 Pang, Guodong 3 Ribeiro, Helena 3 Riedinger, Xavier 3 Saad Eddin, Sumaia 3 Serfozo, Richard F. 3 Tan, Xiaoming 3 Yashkov, Sergei Fedorovich 3 Zeitlin, Vladimir 3 Zhao, Yiqiang Q. 3 Zwart, Bert P. 2 Adell, José Antonio 2 Alobaidi, Ghada 2 Asmussen, Søren 2 Avram, Florin 2 Banerjee, Sayan 2 Borst, Sem C. 2 Boxma, Onno Johan 2 Brandt, Andreas 2 Brandt, Manfred 2 Bressloff, Paul C. 2 Bruneel, Herwig 2 Brzdęk, Janusz 2 Dębicki, Krzysztof 2 Dehesa, Jesús S. 2 Dshalalow, Jewgeni H. 2 Gorman, Arthur D. 2 Gudkova, Irina A. 2 Holcman, David 2 Hung, Wei-Chun 2 Jain, Madhu 2 Johansson, Fredrik 2 Kapodistria, Stella 2 Klimenok, Valentina Ivanovna 2 Ko, Sung-Seok 2 Kogan, Yaakov 2 Korolev, Viktor Yur’evich 2 Kulkarni, Vidyadhar G. 2 Kushner, Harold J. 2 Kuske, Rachel A. 2 Lee, Sangmin 2 Louchard, Guy 2 Maier, Robert S. 2 Meunier, Patrice 2 Minkevičius, Saulius 2 Moiseeva, Svetlana P. 2 Momčilović, Petar 2 Motaei, Amir 2 Nobile, Amelia G. 2 Ou, Chunhua 2 Pankratova, Ekaterina V. 2 Rasa, Ioan 2 Reyna, Luis Guillermo M. 2 Rolski, Tomasz 2 Samouylov, Konstantin E. 2 Satin, Ya. A. 2 Sharma, G. C. 2 Shorgin, Sergey 2 Simpson, David John Warwick 2 Sopin, Eduard S. 2 Squillante, Mark S. 2 Stadje, Wolfgang 2 Sumita, Ushio 2 Tarabia, Ahmed M. K. 2 Tibi, Danielle 2 Walraevens, Joris 2 Wang, Larry X. W. 2 Wessels, Jaap 2 Xie, Gary Y. B. 2 Yáñez, Rafael J. 2 Yashkova, A. S. 2 Zacks, Shelemyahu 2 Zhou, Zhiqiang ...and 367 more Authors
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#### Cited in 116 Serials

 44 Queueing Systems 16 Studies in Applied Mathematics 11 Operations Research Letters 10 European Journal of Applied Mathematics 10 The Annals of Applied Probability 9 European Journal of Operational Research 8 Journal of Fluid Mechanics 8 Applied Mathematics Letters 7 Journal of Mathematical Analysis and Applications 7 Computers & Operations Research 7 Stochastic Models 6 Annals of Operations Research 6 Mathematical Methods of Operations Research 5 Advances in Applied Probability 5 Journal of Statistical Physics 5 Journal of Computational and Applied Mathematics 5 Journal of Number Theory 5 Applied Mathematical Modelling 5 Automation and Remote Control 5 Stochastic Processes and their Applications 5 Stochastic Systems 4 Mathematics of Computation 4 Theoretical Computer Science 4 Random Structures & Algorithms 4 Probability in the Engineering and Informational Sciences 3 Journal of Difference Equations and Applications 3 Mathematical Problems in Engineering 3 The Ramanujan Journal 3 Analysis (München) 3 Advances in Operations Research 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Journal of Applied Probability 2 Journal of Combinatorial Theory. Series A 2 Journal of Soviet Mathematics 2 Mathematics of Operations Research 2 Opsearch 2 Proceedings of the Japan Academy. Series A 2 Statistics & Probability Letters 2 Algorithmica 2 Journal of Applied Mathematics and Stochastic Analysis 2 Applications of Mathematics 2 Aequationes Mathematicae 2 Journal of the Egyptian Mathematical Society 2 Mathematical Finance 2 Annals of Combinatorics 2 Methodology and Computing in Applied Probability 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Information Processing Letters 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Theory of Probability and its Applications 1 The Annals of Probability 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Naval Research Logistics 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Insurance Mathematics & Economics 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Designs, Codes and Cryptography 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 New Zealand Journal of Mathematics 1 Journal of Nonlinear Science 1 Test 1 Physics of Fluids 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 Top 1 Applied Mathematical Finance 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Mathematical Inequalities & Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science ...and 16 more Serials
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#### Cited in 40 Fields

 169 Probability theory and stochastic processes (60-XX) 144 Operations research, mathematical programming (90-XX) 58 Computer science (68-XX) 29 Number theory (11-XX) 25 Combinatorics (05-XX) 23 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Fluid mechanics (76-XX) 15 Numerical analysis (65-XX) 13 Special functions (33-XX) 11 Statistics (62-XX) 9 Difference and functional equations (39-XX) 9 Systems theory; control (93-XX) 8 Approximations and expansions (41-XX) 8 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 6 Information and communication theory, circuits (94-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 4 Quantum theory (81-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)