Robert Thrall

9.5k total citations · 4 hit papers
64 papers, 6.0k citations indexed

About

Robert Thrall is a scholar working on Management Science and Operations Research, Economics and Econometrics and Control and Systems Engineering. According to data from OpenAlex, Robert Thrall has authored 64 papers receiving a total of 6.0k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Management Science and Operations Research, 15 papers in Economics and Econometrics and 13 papers in Control and Systems Engineering. Recurrent topics in Robert Thrall's work include Efficiency Analysis Using DEA (29 papers), Optimization and Mathematical Programming (10 papers) and Monetary Policy and Economic Impact (9 papers). Robert Thrall is often cited by papers focused on Efficiency Analysis Using DEA (29 papers), Optimization and Mathematical Programming (10 papers) and Monetary Policy and Economic Impact (9 papers). Robert Thrall collaborates with scholars based in United States, Oman and Venezuela. Robert Thrall's co-authors include Lawrence M. Seiford, Russell G. Thompson‬‬, W. W. Cooper, Rajiv D. Banker, William F. Lucas, A. Charnes, Barton A. Smith, F.D. Singleton, Larry N. Langemeier and P. Sunil Dharmapala and has published in prestigious journals such as Psychological Review, Econometrica and Technometrics.

In The Last Decade

Robert Thrall

62 papers receiving 5.3k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Recent developments in DEA

1990 1.4k citations Lawrence M. Seiford, Robert Thrall profile →
The role of multiplier bounds in efficiency analysis with application to Kansas farming

1990 553 citations Russell G. Thompson‬‬, Robert Thrall et al. profile →
Estimation of returns to scale using data envelopment analysis

1992 516 citations Rajiv D. Banker, Robert Thrall European Journal of Operational Research profile →
Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas

1986 503 citations Russell G. Thompson‬‬, F.D. Singleton et al. INFORMS Journal on Applied Analytics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Thrall United States	29	4.4k	2.5k	862	591	514	64	6.0k
Tjalling C. Koopmans United States	23	1.7k 0.4×	2.3k 0.9×	991 1.1×	273 0.5×	262 0.5×	51	5.7k
Gérard Debreu United States	29	2.5k 0.6×	6.9k 2.8×	205 0.2×	1.0k 1.7×	480 0.9×	40	9.8k
Robert T. Clemen United States	28	2.6k 0.6×	1.4k 0.5×	189 0.2×	554 0.9×	208 0.4×	57	6.2k
John W. Pratt United States	34	2.6k 0.6×	5.3k 2.1×	212 0.2×	2.3k 4.0×	742 1.4×	94	11.7k
George G. Judge United States	37	966 0.2×	3.8k 1.5×	252 0.3×	1.0k 1.7×	778 1.5×	153	9.2k
Joël L. Horowitz United States	48	973 0.2×	3.4k 1.3×	471 0.5×	1.3k 2.3×	196 0.4×	213	9.8k
Derek W. Bunn United Kingdom	45	2.2k 0.5×	2.2k 0.9×	280 0.3×	815 1.4×	262 0.5×	232	7.0k
Pekka Korhonen Finland	37	2.8k 0.6×	1.1k 0.4×	1.0k 1.2×	200 0.3×	328 0.6×	156	5.6k
James S. Dyer United States	31	2.7k 0.6×	1.3k 0.5×	894 1.0×	697 1.2×	566 1.1×	134	6.0k
Richard E. Quandt United States	41	726 0.2×	4.1k 1.6×	304 0.4×	1.8k 3.0×	420 0.8×	150	8.4k

Countries citing papers authored by Robert Thrall

Since Specialization

Citations

This map shows the geographic impact of Robert Thrall'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 Robert Thrall with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert Thrall more than expected).

Fields of papers citing papers by Robert Thrall

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert Thrall. 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 Robert Thrall. The network helps show where Robert Thrall may publish in the future.

Co-authorship network of co-authors of Robert Thrall

This figure shows the co-authorship network connecting the top 25 collaborators of Robert Thrall. A scholar is included among the top collaborators of Robert Thrall 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 Robert Thrall. Robert Thrall is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Banker, Rajiv D., W. W. Cooper, Lawrence M. Seiford, Robert Thrall, & Joe Zhu. (2003). Returns to scale in different DEA models. European Journal of Operational Research. 154(2). 345–362. 258 indexed citations

Thrall, Robert. (2000). Measures in DEA with an Application to the Malmquist Index. Journal of Productivity Analysis. 13(2). 125–137. 51 indexed citations

Tapia, R. A., et al.. (1996). Chapter 6 On the construction of strong complementarity slackness solutions for DEA linear programming problems using a primal-dual interior-point method. Annals of Operations Research. 66(2). 139–162. 21 indexed citations

Thrall, Robert. (1996). Chapter 4 The lack of invariance of optimal dual solutions under translation. Annals of Operations Research. 66(2). 103–108. 17 indexed citations

Cooper, W. W., et al.. (1995). DEA and stochastic frontier analyses of the 1978 Chinese economic reforms. Socio-Economic Planning Sciences. 29(2). 85–112. 40 indexed citations

Banker, Rajiv D. & Robert Thrall. (1992). Estimation of returns to scale using data envelopment analysis. European Journal of Operational Research. 62(1). 74–84. 516 indexed citations breakdown →

Charnes, A., W. W. Cooper, & Robert Thrall. (1991). A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis. Journal of Productivity Analysis. 2(3). 197–237. 264 indexed citations

Thompson‬‬, Russell G., F.D. Singleton, Robert Thrall, & Barton A. Smith. (1986). Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas. INFORMS Journal on Applied Analytics. 16(6). 35–49. 503 indexed citations breakdown →

Thrall, Robert. (1984). A taxonomy for decision models. Annals of Operations Research. 2(1). 23–27. 5 indexed citations

10.

Thrall, Robert. (1970). Free For All—Guest Editorial: Growing Pains in the Management Sciences. Management Science. 16(10). B–579. 8 indexed citations

11.

Thrall, Robert. (1964). A Manager's Guide to Operations Research. Technometrics. 6(3). 333–334. 12 indexed citations

12.

Thrall, Robert, et al.. (1959). Vector Spaces and Matrices.. American Mathematical Monthly. 66(2). 161–161. 2 indexed citations

13.

Samelson, Hans, et al.. (1958). A partition theorem for Euclidean 𝑛-space. Proceedings of the American Mathematical Society. 9(5). 805–807. 128 indexed citations

14.

Thrall, Robert, et al.. (1958). Linear model for evaluating complex systems. Naval Research Logistics Quarterly. 5(4). 347–361. 1 indexed citations

15.

Thrall, Robert, et al.. (1957). Vector Spaces and Matrices. Physics Today. 10(11). 36–38. 17 indexed citations

16.

Thrall, Robert, et al.. (1956). Principles of Mathematics.. American Mathematical Monthly. 63(6). 435–435. 15 indexed citations

17.

Goldberg, Samuel I., et al.. (1955). Mathematical Thinking in the Social Sciences.. American Mathematical Monthly. 62(8). 596–596. 60 indexed citations

18.

Thrall, Robert. (1955). A Class Of Algebras Without Unity Element. Canadian Journal of Mathematics. 7. 382–390. 1 indexed citations

19.

Madow, William G., et al.. (1954). Mathematics for Social Scientists. American Mathematical Monthly. 61(8). 550–561. 1 indexed citations

20.

Thrall, Robert & G. de B. Robinson. (1951). Supplement to a Paper of G. de B. Robinson. American Journal of Mathematics. 73(3). 721–721. 7 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.

Explore authors with similar magnitude of impact