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Shiang-Tai Liu

Shiang-Tai Liu

Vanung University
Taiwan

Shiang-Tai Liu publications per year

The chart shows the history of publications by Shiang-Tai Liu between 1999 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Shiang-Tai Liu published across 27 years, from 1999 to 2025, averaging 2.7 papers a year. Output peaked at 8 publications in 2007. 4 of the 74 publications appeared in the last two years.

No. of publications
2 4 6 8
Bar chart. Horizontal axis: year, 1999 to 2025. Vertical axis: number of publications, 0 to 8. Peak 8 publications in 2007. 1999: 1 publication 2000: 1 publication 2001: 1 publication 2002: 1 publication 2003: 3 publications 2004: 2 publications 2005: 3 publications 2006: 4 publications 2007: 8 publications 2008: 3 publications 2009: 8 publications 2010: 3 publications 2011: 6 publications 2012: 3 publications 2013: 1 publication 2014: 4 publications 2015: 1 publication 2016: 5 publications 2017: 1 publication 2018: 3 publications 2019: 1 publication 2020: 1 publication 2021: 5 publications 2022: 1 publication 2023: 0 publications 2024: 1 publication 2025: 3 publications
1999 2025

74 publications in total across all disciplines

View publications per year as a table
Shiang-Tai Liu: publications per year, 1999 to 2025
Year Publications
1999 1
2000 1
2001 1
2002 1
2003 3
2004 2
2005 3
2006 4
2007 8
2008 3
2009 8
2010 3
2011 6
2012 3
2013 1
2014 4
2015 1
2016 5
2017 1
2018 3
2019 1
2020 1
2021 5
2022 1
2023 0
2024 1
2025 3
Total 74
Download as CSV

Shiang-Tai Liu publications per year - data summary

  • Shiang-Tai Liu, a Mathematics scholar from Vanung University, has 74 publications recorded across 27 years, from 1999 to 2025.
  • The oldest publication on record dates to 1999 and the most recent to 2025.
  • The most productive years are 2007 and 2009, with 8 publications each.
  • The least productive years with any output are 1999, 2000, 2001, 2002 and others, with 1 publication each.
  • 1 of the 27 years in the span carries no publications at all (2023).
  • The rate of publication averages 2.7 papers per year over the whole span, or 2.8 per year counting only the 26 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 10 publications, 14% of the career total.
  • Split into equal eras - 1999-2007: 24 publications (2.7 per year); 2008-2016: 34 publications (3.8 per year); 2017-2025: 16 publications (1.8 per year).
  • Comparing the opening and closing eras, the overall trend of publication is declining.

Shiang-Tai Liu publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Shiang-Tai Liu sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Shiang-Tai Liu publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • The median of the discipline falls in the 172–176 publications range.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Shiang-Tai Liu D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Shiang-Tai Liu sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Shiang-Tai Liu D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • The median of the discipline falls in the 42 D-Index range.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Overview

Shiang-Tai Liu is affiliated with Vanung University in Taiwan and has a research portfolio focused primarily on decision sciences, economics, and business management. Their work intersects multiple fields including management science, operations research, economics and econometrics, and strategy and management.

Their publication record includes contributions to journals such as the European Journal of Operational Research, Asia Pacific Management Review, Omega, Annals of Operations Research, and Symmetry. These venues reflect a strong emphasis on operational research and management disciplines.

Recent research papers by Shiang-Tai Liu include:

  • A slacks-based measure model for calculating cross efficiency in data envelopment analysis, 2020, Omega
  • Group decision making in data envelopment analysis: A robot selection application, 2021, European Journal of Operational Research
  • Most productive types of hospitals: An empirical analysis, 2020, Omega
  • Optimal expansion paths for hospitals of different types: Viewpoint of scope economies and evidence from Chinese hospitals, 2020, European Journal of Operational Research
  • Stochastic efficiencies of network production systems with correlated stochastic data: the case of Taiwanese commercial banks, 2021, Annals of Operations Research

These papers show a focus on topics such as efficiency analysis using data envelopment analysis (DEA), hospital productivity and expansion strategies, as well as stochastic efficiency in production systems, particularly in healthcare and banking contexts.

Frequent coauthors of Shiang-Tai Liu include:

  • Chiang Kao
  • Chen-Hao Huang
  • Ruizhi Pang
  • Xue-Jie Bai
  • Wann-Yih Wu

Shiang-Tai Liu's research topics cover a wide array of areas including:

  • Efficiency Analysis Using DEA
  • Supply Chain and Inventory Management
  • Multi-Criteria Decision Making
  • Economic and Environmental Valuation
  • Global Trade and Competitiveness
  • International Business and Foreign Direct Investment (FDI)
  • Healthcare Policy and Management

Their work also spans subfields such as management science and operations research, economics and econometrics, strategy and management, general economics and finance, and management information systems. This multidisciplinary approach supports a comprehensive investigation of decision-making processes and operational efficiencies in various sectors.

Best Publications

  • Fuzzy efficiency measures in data envelopment analysis

    Chiang Kao;Shiang-Tai Liu

  • Solving fuzzy transportation problems based on extension principle

    Shiang-Tai Liu;Chiang Kao

  • A fuzzy DEA/AR approach to the selection of flexible manufacturing systems

    Shiang-Tai Liu

  • Fractional programming approach to fuzzy weighted average

    Chiang Kao;Shiang-Tai Liu

  • Data envelopment analysis with missing data: an application to University libraries in Taiwan

    Chiang Kao;Shiang-Tai Liu

  • Stochastic data envelopment analysis in measuring the efficiency of Taiwan commercial banks

    Chiang Kao;Shiang Tai Liu

  • A mathematical programming approach to fuzzy efficiency ranking

    Chiang Kao;Shiang-Tai Liu

  • Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks

    Chiang Kao;Shiang Tai Liu

  • Fuzzy measures for correlation coefficient of fuzzy numbers

    Shiang-Tai Liu;Chiang Kao

  • A numerical solution method to interval quadratic programming

    Shiang-Tai Liu;Rong-Tsu Wang

  • Efficiencies of two-stage systems with fuzzy data

    Chiang Kao;Shiang-Tai Liu

  • Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries

    Shiang-Tai Liu;Mang Chuang

  • Cross efficiency measurement and decomposition in two basic network systems

    Chiang Kao;Shiang Tai Liu

  • Network flow problems with fuzzy arc lengths

    Shiang-Tai Liu;Chiang Kao

  • Fuzzy total transportation cost measures for fuzzy solid transportation problem

    Shiang-Tai Liu

  • Rating design requirements in fuzzy quality function deployment via a mathematical programming approach

    Shiang-Tai Liu

  • Short Communication: Matrix games with interval data

    Shiang-Tai Liu;Chiang Kao

  • The total cost bounds of the transportation problem with varying demand and supply

    Shiang-Tai Liu

  • Competitiveness of manufacturing firms: an application of fuzzy weighted average

    Chiang Kao;Shiang-Tai Liu

  • Posynomial geometric programming with interval exponents and coefficients

    Shiang-Tai Liu

Frequent Co-Authors

Chiang Kao
Chiang Kao National Cheng Kung University

External Links

Personal website of Shiang-Tai Liu

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