Charles Tier

1.3k total citations
59 papers, 932 citations indexed

About

Charles Tier is a scholar working on Management Information Systems, Management Science and Operations Research and Statistical and Nonlinear Physics. According to data from OpenAlex, Charles Tier has authored 59 papers receiving a total of 932 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Management Information Systems, 22 papers in Management Science and Operations Research and 14 papers in Statistical and Nonlinear Physics. Recurrent topics in Charles Tier's work include Advanced Queuing Theory Analysis (35 papers), Probability and Risk Models (16 papers) and Random Matrices and Applications (12 papers). Charles Tier is often cited by papers focused on Advanced Queuing Theory Analysis (35 papers), Probability and Risk Models (16 papers) and Random Matrices and Applications (12 papers). Charles Tier collaborates with scholars based in United States and Israel. Charles Tier's co-authors include Charles Knessl, Z. Schuss, B. J. Matkowsky, Marc Mangel, Floyd B. Hanson, M. Mangel, Joseph B. Keller, Richard W. Jordan and Steven M. Baer and has published in prestigious journals such as Proceedings of the National Academy of Sciences, The Journal of Chemical Physics and Ecology.

In The Last Decade

Charles Tier

56 papers receiving 792 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Charles Tier United States 16 257 228 155 145 141 59 932
P. K. Pollett Australia 22 484 1.9× 137 0.6× 120 0.8× 83 0.6× 281 2.0× 141 1.5k
Floyd B. Hanson United States 17 32 0.1× 108 0.5× 37 0.2× 43 0.3× 83 0.6× 83 1.0k
Peter Jagers Sweden 22 67 0.3× 221 1.0× 37 0.2× 55 0.4× 235 1.7× 95 2.3k
P. A. P. Morán 7 209 0.8× 62 0.3× 177 1.1× 31 0.2× 94 0.7× 8 779
J. D. Biggins United Kingdom 27 31 0.1× 141 0.6× 116 0.7× 310 2.1× 430 3.0× 67 2.9k
Tobias Rydén Sweden 14 34 0.1× 27 0.1× 65 0.4× 35 0.2× 103 0.7× 26 1.1k
Ingemar Kaj Sweden 14 35 0.1× 26 0.1× 36 0.2× 50 0.3× 34 0.2× 41 667
Fima C. Klebaner Australia 18 45 0.2× 224 1.0× 83 0.5× 12 0.1× 183 1.3× 113 1.8k
Ben Hambly United Kingdom 23 13 0.1× 157 0.7× 33 0.2× 57 0.4× 163 1.2× 95 1.9k
David Griffeath United States 26 19 0.1× 536 2.4× 104 0.7× 18 0.1× 64 0.5× 64 1.9k

Countries citing papers authored by Charles Tier

Since Specialization
Citations

This map shows the geographic impact of Charles Tier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Charles Tier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Charles Tier more than expected).

Fields of papers citing papers by Charles Tier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Charles Tier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Charles Tier. The network helps show where Charles Tier may publish in the future.

Co-authorship network of co-authors of Charles Tier

This figure shows the co-authorship network connecting the top 25 collaborators of Charles Tier. A scholar is included among the top collaborators of Charles Tier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Charles Tier. Charles Tier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Tier, Charles & Richard W. Jordan. (2009). The Variance Swap Contract Under the CEV Process. SSRN Electronic Journal. 1 indexed citations
2.
Tier, Charles, et al.. (2004). Computing the stability regions of Hill's equation. Applied Mathematics and Computation. 162(2). 639–660. 5 indexed citations
3.
Tier, Charles, et al.. (1994). Asymptotic Approximations for a Queueing Network with Multiple Classes. SIAM Journal on Applied Mathematics. 54(4). 1147–1180. 3 indexed citations
4.
Knessl, Charles & Charles Tier. (1992). Asymptotic expansions for large closed queueing networks with multiple job classes. IEEE Transactions on Computers. 41(4). 480–488. 15 indexed citations
5.
Tier, Charles, et al.. (1992). Asymptotic Analysis of an Integrated Digital Network. SIAM Journal on Applied Mathematics. 52(1). 234–269. 1 indexed citations
6.
Knessl, Charles & Charles Tier. (1992). A Processor-Shared Queue That Models Switching Times: Normal Usage. SIAM Journal on Applied Mathematics. 52(3). 883–899. 3 indexed citations
7.
Tier, Charles, et al.. (1991). Asymptotic analysis of multiple class queueing networks. Applied Mathematics Letters. 4(5). 35–38. 2 indexed citations
8.
Knessl, Charles & Charles Tier. (1990). Approximations to the moments of the sojourn time in a tandem queue with overtaking. Communications in Statistics Stochastic Models. 6(3). 499–524. 6 indexed citations
9.
Knessl, Charles & Charles Tier. (1990). Asymptotic expansion for large closed queuing networks. Journal of the ACM. 37(1). 144–174. 18 indexed citations
10.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1988). A state dependent M/M/1 queue: a production-inventory model. Applied Mathematics Letters. 1(3). 235–239. 3 indexed citations
11.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1987). A Markov-modulated M/G/1 queue II: Busy period and time for buffer overflow. Queueing Systems. 1(4). 375–399. 5 indexed citations
12.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1987). Distribution of the maximum buffer content during a busy period for state-dependent m/g/1 queues. Communications in Statistics Stochastic Models. 3(2). 191–226. 2 indexed citations
13.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1987). A Markov-modulated M/G/1 queue I: Stationary distribution. Queueing Systems. 1(4). 355–374. 12 indexed citations
14.
Baer, Steven M. & Charles Tier. (1986). An analysis of a dendritic neuron model with an active membrane site. Journal of Mathematical Biology. 23(2). 137–161. 15 indexed citations
15.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1986). Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System. SIAM Journal on Applied Mathematics. 46(3). 483–505. 29 indexed citations
16.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1986). On the Performance of State-Dependent Single Server Queues. SIAM Journal on Applied Mathematics. 46(4). 657–697. 17 indexed citations
17.
Schuss, Z., Charles Tier, & B. J. Matkowsky. (1985). Frequency Fluctuations in Noisy Oscillators. SIAM Journal on Applied Mathematics. 45(5). 843–854. 1 indexed citations
18.
Knessl, Charles, B. J. Matkowsky, Z. Schuss, & Charles Tier. (1985). Asymptotic analysis of a state dependent M/G/1 queueing system. Performance Evaluation. 5(3). 205–205. 2 indexed citations
19.
Matkowsky, B. J., Z. Schuss, Charles Knessl, Charles Tier, & M. Mangel. (1984). Asymptotic solution of the Kramers-Moyal equation and first-passage times for Markov jump processes. Physical review. A, General physics. 29(6). 3359–3369. 48 indexed citations
20.
Tier, Charles & Floyd B. Hanson. (1981). Persistence in density dependent stochastic populations. Mathematical Biosciences. 53(1-2). 89–117. 51 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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2026