Shiv Kumar Gupta - Department of Mathematics,Indian Institute of Technology Roorkee
Shiv Kumar Gupta
Shiv Kumar Gupta Associate professor s.gupta@ma.iitr.ac.in +91-1332-285379
Areas of Interest
  • Optimization theory, Duality, Support Vector Machines, Fuzzy mathematical programming
Professional Background
FromPeriodPositionOrganisation
2014-04-04OngoingAssociate ProfessorIIT Roorkee
2012-12-201 year 3 months 14 daysAssistant ProfessorIIT Roorkee
2008-12-293 years 11 months 20 daysAssistant ProfessorIIT Patna
2006-06-282 years 6 months 1 dayAssistant ProfessorThapar University, Patiala
Multiple Posts
FromPeriodPositionOrganisation
2017-05-053 years 4 months 12 daysO.C. Xerox and StationaryIIT Roorkee
2013-08-144 years 2 daysO. C. StoreIIT Roorkee
Honors and Awards
AwardInstituteYear
Outstanding teacher award, (UG category for B.Tech first year)IIT Roorkee2018
Best teacher awardIIT Patna2010
ASHESH memorial medalIIT Roorkee2002
GATEMHRD2002
UGC-JRFUGC2001
Best theoretical paper award44th Annual Convention of Operational Research Society of India2012
Educational Details
DegreeSubjectUniversityYear
PhDOptimization theoryIIT Roorkee2008
M.Sc.Applied MathematicsIIT Roorkee2002
B. Sc.Physics, Chemistry, MathematicsHNB Garhwal University, Srinagar1999
Sponsored Research Projects
TopicFunding AgencyStart DatePeriod
Formulation and developing solution methodologies of various optimization models under uncertainty with application..UCOST2021-04-021 year 11 months 29 days
Optimality conditions and duality relations for a class of nonlinear multiple objective optimization problems..King Fahd University of Petroleum and Minerals, Saudi Arabia2017-04-012 years
Memberships
  • Operational Research Society of India, Member
  • Working group on generalized convexity, Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Mathematics-IMAN-001B. Tech.Autumn
Mathematics-IIMAN-002B. Tech.Spring
Optimization TechniquesMAN-010B. Tech.Spring
Operations ResearchMAN-613MScAutumn
Nonlinear ProgrammingMAN-506Integrated M.ScSpring
Advanced Operations ResearchMAN-657M.Sc.Spring
Linear AlgebraMAN-101B. Tech.Spring
Optimization TechniquesMAN-501EM. Tech.Autumn
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Date
Duality in mathematical programming under generalized convexityDr. N. KaileyA2008-05
On duality in nonlinear optimization problems under crisp and fuzzy environmentDr. Debasis DangarA2009-01
Optimality conditions and duality relations for some nonlinear programming problemsDr. Ramu DubeyA2013-06
On efficiency and duality for some vector optimization problemsDr. Indra PriyadarshniA2013-01
Modelling and optimization of various problems in uncertain environments with applicationsDr. Sumati MahajanA2017-06
Support vector machines and optimizationMs. Scindhiya LaxmiO2016-12
Formulation and developing solution methodologies of various optimization problems with uncertain dataMs. Manisha MalikO2018-06
Semi-infinite programming problems: Optimality and duality relationsMrs. Tamanna YadavO2018-10
Modelling and analysis of various portfolio optimization modelsMs. Vrinda DhingraO2018-12
Multi-attribute Decision Making Problems with applicationsManish KumarO2019-07
Robust twin support vector regressionYash AroraO2020-07
Visits to outside institutions
Institute VisitedPurpose of VisitDate
AIT, ThailandShort term seconded faculty2019-08-07
Hajdúszoboszló, HungaryTo deliver a talk2017-08-27
Brisbane, Queesland, AustraliaTo present a paper2013-12-27
Participation in short term courses
Couse NameSponsored ByDate
Optimization theory, methods and applications2020-08
Courses or Conferences Organised
Conference NameSponsored ByDate
International Conference of Recent Trends in Operations Research and Statistics2017-12
Teaching outside Institute

1. Teaching a course "Operations Research" at IIM Udaipur from September 2021 to December 2021.

2. Short term seconded faculty at Asian Institute of Technology, Bangkok from August 2019 to December 2019.

NPTEL courses conducted
  • Mathematical Methods and its applications–30 Hrs. (with Prof. P. N. Agrawal)

  • Nonlinear Programming—10 Hrs.

  • Multivariable Calculus– 20 Hrs. (with Prof. Sanjeev Kumar)

  • Matrix Analysis with Applications–20 Hrs (with Prof. Sanjeev Kumar)

  • Essential Mathematics for Machine learning-30 Hrs (with Prof. Sanjeev Kumar).

Refereed Journal Papers

1.    Scindhiya Laxmi, S. K. Gupta, Sumit Kumar, Intuitionistic fuzzy proximal support vector machine for multicategory classification problems, Soft Computing, Soft Computing (2021) https://doi.org/10.1007/s00500-021-06193-3 (Impact factor: 3.050, JCR rank: Q2)

2.   Sumati Mahajan, S. K. Gupta, On inexact quadratic programming problems involving mixed terms with an application to tea industry, Computers and Industrial Engineering, accepted for publication, 156 (2021) 107264 (Impact factor: 4.135, JCR rank: Q1)

3.        Sumati Mahajan, S. K. Gupta, On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multi-objective nonlinear programming problems, Expert Systems with Applications, 168 (2021), Article 114309 (Impact factor: 5.452, JCR rank: Q1)

4.        Sumati Mahajan, S. K. Gupta, On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions, Annals of Operations Research, 296 (2021), 211-241 (Impact factor: 2.583, JCR rank: Q2)

5.        Sumati Mahajan, S. K. Gupta, Development and analysis of a sustainable garbage disposal model for environmental management under uncertainty, Science of Total Environment, 709 (2020), Article 135037 (Impact factor: 6.551, JCR rank: Q1)

6.        Scindhiya Laxmi, S. K. Gupta, Intuitionistic Fuzzy proximal support vector machines for pattern classification, Neural Processing Letters, 51 (2020), 2701–2735 (Impact factor: 2.891, JCR rank: Q2)

7.     Manisha Malik, S. K. Gupta, Goal programming technique for solving fully interval-valued intuitionistic fuzzy multiple objective transportation problems, Soft Computing, 24 (2020), 13955–13977 (Impact factor: 3.050, JCR rank: Q2)

8.      Izhar Ahmad, S. K. Gupta, Bhupedra K. Mishra, Invex and quasi-invex NCP functions and their properties, Maejo International Journal of Science and Technology, 14 (2020), 177-183 (Impact factor: 0.326, JCR rank: Q4)

9.        Sumati Mahajan, S. K. Gupta, Methods to solve QPPs with fuzzy parameters and fuzzy variables, Journal of Intelligent & Fuzzy Systems, 37 (2019), 2757–2767 (Impact factor: 1.851, JCR rank: Q3)

10.   I. P. Debnath, S. K. Gupta, The Karush-Kuhn-Tucker conditions for multiple objective fractional interval valued optimization problems, RAIRO-OPERATONS RESEARCH, 54 (2019), 1161-1188 (Impact factor: 1.025, JCR rank: Q4)

11.     S. K. Gupta, D. Dangar, I. Ahmad, S. Al-Homidan, A fuzzy multiple objective nonlinear optimization problem and its duality results, Journal of Intelligent & Fuzzy Systems, 36 (2019), 1361-1373 (Impact factor: 1.851, JCR rank: Q3)

12. I. P. Debnath, S. K. Gupta, Exponential membership function and duality gaps for I-fuzzy linear programming problems, Iranian Journal of Fuzzy Systems, 16 (2019), 147-163 (Impact factor: 2.276, JCR rank: Q1)

13.     Ramu Dubey, S. K. Gupta, On duality for a second-order multiobjective fractional programming problem involving type-I functions, Georgian Mathematical Journal, 26 (2019), 393-404 (Impact factor: 0.5, JCR rank: Q4)

14.     Indira P. Debanth, S. K. Gupta, Necessary and sufficient optimality conditions for fractional interval valued optimization problems, Decision Science in action, (2019), 155-173

15.     I. P. Debnath, S. K. Gupta, Higher order duality relations for multiobjective fractional problems involving support functions, Bulletin of the Malaysian Mathematical Society, 42 (2019), 1255-1279 (Impact factor: 0.856, JCR rank: Q2)

16.     Indira P. Debnath and S.K. Gupta, Duality for the class of a multiobjective problem with support functions under K-Gf invexity, Bulletin of the Iranian Mathematical Society, 43 (2017), 2233-2258 (Impact factor: 0.357, JCR rank: Q4)

17.     Indira P. Debnath and S.K. Gupta, Efficiency and duality for a vector of quotients of curvilinear functionals on the first order jet bundle. Optimal Control, Applications and Methods, 38 (2017), 1227-1238 (Impact factor: 1.252, JCR rank: Q3)

18.     I. P. Debanth, S. K. Gupta, D. Dangar, Remarks on duality for second order minimax fractional programming with B-(p,r) invex functions, Opsearch, 55 (2017), 196-201 (Impact factor: 0.36, Scimago: Q2)

19.    Indira P. Debnath, S.K. Gupta, I. Ahmad, A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs. Opsearch, 2016, 53(1), 151-156. (Impact factor: 0.36, Scimago: Q2)

20.     Sarita Sharma, S.K. Gupta, Higher-order-V-invexity and duality for vector optimization problems, Rendiconti del Circolo Matematico di Palermo, 65 (2016) 351-364 (Impact factor: 0.3, Scimago: Q3)

21. S. K. Gupta, D. Dangar, Generalized multiobjective symmetric duality under second-order (F, alpha, rho, d)-convexity, Acta Mathematicae Applicatae Sinica, English Series, 31 (2015), 1–14 (Impact factor: 0.618, JCR rank: Q4)

22.     Ramu Dubey, S. K. Gupta, M.A. Khan, Optimality and duality results for a nondifferentiable multiobjective fractional programming problems, Journal of Inequalities and Applications, 2015:354 (Impact factor: 1.470, JCR rank: Q2)

23.     Indira P. Debnath, S. K. Gupta, S. Kumar, Symmetric duality for a higher order nondifferentiable multiobjective programming problem, Journal of Inequalities and Applications, 2015:3 (Impact factor: 1.470, JCR rank: Q2)

24.     S. K. Gupta, D. Dangar, N. Kailey, S. Kumar, Second-Order nondifferentiable multiobjective mixed symmetric dual programs over cones, Journal of Mathematical Modelling and Algorithms in Operations Research, 14 (2015), 103–123 (Impact factor: 0.36, Scimago: Q3)

25.     B. Dutta, S. K. Gupta, On nash equibrium strategy of two-person zero sum games with trapezoidal fuzzy payoffs, Fuzzy Information and Engineering 6 (2014), 299-314 (Impact factor: 0.27, Scimago: Q2)

26.     S. K. Gupta, D. Dangar, Duality for a class of fuzzy nonlinear optimization problem under generalized convexity, Fuzzy Optimization and Decision Making, 13 (2014) 131–150, (DOI 10.1007/s10700-013-9176-7) (Impact factor: 4.319, JCR rank: Q1)

27.     S. K. Gupta, D. Dangar, On second-order duality for nondifferentiable minimax fractional programming, Journal of Computational and Applied Mathematics, 255 (2014), 878–886 (Impact factor: 2.037, JCR rank: Q1)

28.     N. Kailey, S. K. Gupta, Duality for mixed second-order programs with multiple arguments, Filomat, 28 (2014), 397–410 (Impact factor: 0.848, JCR rank: Q3)

29.    S. K. Gupta, D. Dangar, I. Ahmad, On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions, ANZIAM Journal, 55 (EMAC2013) (2014) C 479–C494 (Impact factor: 0.581, JCR rank: Q4)

30.    S. K. Gupta, N. Kailey, Second-order multiobjective symmetric duality involving cone-bonvex functions, Journal of Global Optimization, 55 (2013), 125-140 (Impact factor: 1.805, JCR rank: Q3)

31.     N. Kailey, S. K. Gupta, Duality for a class of symmetric nondifferentiable mutliobjective fractional variational problems with generalized (F, alpha, rho, d)-convexity, Mathematical and Computer Modeling, 57 (2013), 1453-1465 (Impact factor: 1.366, JCR rank (2015): Q1)

32.     D. Dangar, S.  K.  Gupta, On second-order duality for a class of nondifferentiable minimax fractional programming problem with (C, alpha, rho, d)-convexity, Journal of Applied Mathematics and Computing, 43 (2013), 11–30 (Impact factor: 1.242, JCR rank: Q1)

33.   S. K. Gupta, N. Kailey, Multiobjective second-order mixed symmetric duality with a square root term, Applied Mathematics and Computation, 218 (2012), 7602-7613 (Impact factor: 3.472, JCR rank: Q1)

34. S. K. Gupta, D. Dangar, Duality for second-order symmetric multiobjective programming with cone constraints, International Journal of Mathematics in Operational Research ,4 (2012), 128-151

35.     N. Kailey, S. K. Gupta, Nondifferentiable second-order mixed symmetric duality with cone constraints, Maejo International Journal of Science and Technology, 6 (2012), 356-371 (Impact factor: 0.326, JCR rank: Q4)

36. S. K. Gupta, N. Kailey, S. Kumar, Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized (F, alpha, rho, d)-convexity, Journal of inequalities and applications, 298 (2012), 1-16, doi:10.1186/1029-242X-2012-298 (Impact factor: 1.470, JCR rank: Q2)

37.     S. K. Gupta, D. Dangar, S. Kumar, Second-order duality for a nondifferentiable minimax fractional programming under generalized α-univexity, Journal of Inequalities and Applications, 2012:187 (31 August 2012) (Impact factor: 1.470, JCR rank: Q2)

38.     S. K. Gupta, N. Kailey, Nondifferentiable multiobjective second-order symmetric duality, Optimization Letters, 5 (2011), 125-139 (Impact factor: 1.502, JCR rank: Q2)

39.     T. R. Gulati, S. K. Gupta, Nondifferentiable second-order minimax mixed integer symmetric duality, Journal of the Korean Mathematical Society, 48 (2011), 13-21 (Impact factor: 0.63, JCR rank: Q3)

40.     S. K. Gupta, N. Kailey, M. K. Sharma, Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints, International Journal of Mathematics in Operational Research, 3 (2011), 414 – 430

41. T. R.  Gulati, Geeta, S. K. Gupta, Nondifferentiable multiobjective symmetric dual programs over cones, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 3861-3869 (Impact factor: 1.587, JCR rank: Q1)

42.     Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, A note on higher-order nondifferentiable symmetric duality in multiobjective programming, Applied Mathematics Letters, 24 (2011), 1308-1311 (Impact factor: 3.848, JCR rank: Q1)

43.     Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, N. Kailey, Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming, Abstract and Applied Analysis, 2011 (2011), Article ID 103597, 14 pages (Impact factor: 1.274, JCR rank (2013): Q1)

44.     N. Kailey, S. K. Gupta, D. Dangar, Mixed second order symmetric duality with cone constraints, Nonlinear Analysis: Real World Applications, 12 (2011) 3373-3383 (Impact factor: 2.072, JCR rank: Q1)

45.     I. Ahmad, S. K. Gupta, Anurag Jayswal, On sufficiency and duality for non-smooth multiobjective programming problems involving generalized V–r-invex functions, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 5920-5928 (Impact factor: 1.587, JCR rank: Q1)

46.     I. Ahmad, S. K. Gupta, N. Kailey, R. P. Agarwal, Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity, Journal of Inequalities and Applications, 2011:75 (30 September 2011), (Impact factor: 1.470, JCR rank: Q2)

47.     S. K. Gupta, N. Kailey, A note on multiobjective symmetric duality, European Journal of Operational Research, 201 (2010), 649-651 (Impact factor: 4.213, JCR rank: Q1)

48.     T. R. Gulati, H. Saini, S. K. Gupta, Second-order multiobjective symmetric duality with cone constraints, European Journal of Operational Research, 205 (2010) 247–252 (Impact factor: 4.213, JCR rank: Q1)

49.     S. K. Gupta, N. Kailey, M. K. Sharma, Multiobjective second order nondifferentiable symmetric duality involving convex functions, Journal of Applied Mathematics and Informatics, 28 (2010) 1395-1408

50.     S. K. Gupta, N. Kailey, M. K. Sharma, Higher-order (F, alpha, rho, d)-convexity and symmetric duality in multiobjective programming, Computers and Mathematics with Applications 60 (2010), 2373–2381 (Impact factor: 3.370, JCR rank: Q1)

51.     S. K. Gupta, Anurag Jaiswal, Multiobjective higher-order symmetric duality involving generalized cone-invex functions, Computers and Mathematics with Applications 60 (2010) 3187-3192  (Impact factor: 3.370, JCR rank: Q1)

52.     S. K. Gupta, Debasis Dangar, Duality in fuzzy quadratic programming with exponential membership functions, Fuzzy Information and Engineering, 4 (2010), 327-336 (Impact factor: 0.27, Scimago: Q2)

53.     T. R. Gulati, S. K. Gupta, Higher-order symmetric duality with cone constraints, Applied Mathematics Letters, 22 (2009), 776-781 (Impact factor: 3.848, JCR rank: Q1)

54.     T. R. Gulati, S. K. Gupta, I. Ahmad, Second-order symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220 (2008), 347-354 (Impact factor: 2.037, JCR rank: Q1)

55.     T. R. Gulati, S. K. Gupta, Higher order symmetric duality with generalized F-convexity, Journal of Mathematical Analysis and Applications, 329 (2007) 229-237 (Impact factor: 1.220, JCR rank: Q1)  

56.     T. R. Gulati, S. K. Gupta, Second-order minimax mixed integer symmetric duality, International Journal of Operation Research, 4 (2007), 1-8 (Impact factor: 0.32, Scimago: Q3)

57.     T. R. Gulati, S. K. Gupta, A note on Mond Weir type symmetric duality, Asia-Pacific Journal of Operational Research, 24 (2007), 737-74 (Impact factor: 0.757, JCR rank: Q4)     

58.     T. R. Gulati, S. K. Gupta, Wolfe type second-order symmetric duality in nondifferentiable programming, Journal of Mathematical Analysis and Applications, 310 (2005), 247-253 (Impact factor: 1.220, JCR rank: Q1)  

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