Dr. Vikas Sharma

Assistant Professor

Specialization

Linear & nonlinear programming, convex analysis, vector optimization, combinatorial optimization

Email

vikas.sharma@thapar.edu

Specialization

Linear & nonlinear programming, convex analysis, vector optimization, combinatorial optimization

Email

vikas.sharma@thapar.edu

Contact No.

Assistant Professor

vikas.sharma@thapar.edu

Biography

Dr. Vikas sharma is working with School of Mathematics, Thapar Institute of Engineering and Technology, Patiala since 2009. He has completed his Ph.D. degree in Mathematical Programming from Panjab University, Chandigarh in the year 2012. HIs research interests include Linear and Nonlinear optimization, Integer programming, Financial mathematics and Portfolio optimization theory.

Education

  • Ph.D. (Panjab University, Chandigarh) in Mathematical programming specialization in Optimization theory
  • M. Sc (Honours School) in Mathematics from Panjab University Chandigarh in the year 2004
  • B. Sc (Honours School) in Mathematics from Panjab University Chandigarh in the year 2002

Teaching Experience

  • Assistant Professor: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala from June 2014 to present.
  • Lecturer Contractual: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala from June 2009 to June 2014. Lecturer: Y.R.S Polytechnic College, Moga from August 2004 to January 2006.

Teaching Interests:

  • Optimization Techniques
  • Mathematical programming
  • Financial Mathematics
  • Calculus
  • Linear Algebra

Research Interest:

  • Integer Programming
  • Financial Mathematics
  • Portfolio Optimization
  • Nonlinear Optimization

Research Project:

  • Nonsmooth minimax fractional programming problems Funded by Thapar Institute of Engineering and Technology, Patiala. Amount: ₹300,000

Publications:

Journals

  1. Prerna, Vikas Sharma, An algorithm to solve multiobjective integer quadratic programming problem, Annals of Operations Research. [SCI Impact Factor 4.80]
  2. Prerna, Vikas Sharma, An algorithm for biobjective integer linear programming problems (Ac- cepted for pulbication to Filomat. [SCI Impact Factor 0.988]
  3. Navdeep Kailey, Sonali, Vikas Sharma, Vivek Dhingra, Parametric approach for a class of fractional variational programs involving support functions, Accepted for publication to IJMO.
  4. Vikram Chopra, N.J. Singh, Ravinder Kumar, Vikas Sharma, Position Control of PMBLDC Motor Using SVR- and ANFIS-Based Controllers, National Academy of Science Letters, 45, 57-60, 2022. [SCI Impact Factor 0.649]
  5. Prerna, Vikas Sharma A note on solving multi-objective integer indefinite quadratic fractional pro- grams, Annals of Operations Research, 289, 459-462, 2020. [SCI Impact Factor 4.80]
  6. Sonali, Navdeep Kailey, Vikas Sharma Higher-order non-symmetric duality for nondifferentiable minimax fractional programs with square root terms, appearing in Acta Mathematica Scientia 40(1), 127-140, 2020. [SCI Impact Factor 1.085]
  7. Sheena Chhabra, Ravi Kiran, Sah, A. N., Vikas Sharma, Information and Performance Opti- mization: A study of Indian IPOs during 2005-2012, Program 51(4), 458-471, 2017. [SCI Impact Factor 1.667]
  8. Vikas Sharma, Kalpana Dahiya, Vanita Verma, A ranking algorithm for bi-objective quadratic fractional integer programming problems, Optimization, 66(11), 1913-1929, 2017. [SCI Impact Factor 2.456]
  9. Sonali, Navdeep Kailey, Vikas Sharma, On second order duality of minimax fractional program- ming with square root term involving generalized B-(p,r)-invex functions, Annals of Operations Research, 244(2), 603-617, 2016. [SCI Impact Factor 4.80]
  10. Vikas Sharma, Kalpana Dahiya, Vanita Verma, A class of integer linear fractional bilevel pro- gramming problems, Optimization, 63(10), 1565-1581, 2014. [SCI Impact Factor 2.456]
  11. Vikas Sharma, Rita Malhotra, Vanita Verma, Cost pipeline trade- off in a transportation problem, Yugoslavian Journal of Operational Research, 23(2), 197-211, 2013.
  12. Kalpana Dahiya, Vikas Sharma, Vanita Verma, An iterative algorithm for a class of nonlinear integer bilevel programming problems with box constraints, Asian European Journal of Mathematics, 5(3), 1250032, 2012.
  13. Vikas Sharma, Multiobjective integer nonlinear fractional programming problem: A cutting plane approach, Opsearch, 49(2) 133-153, 2012.
  14. Vikas Sharma, Kalpana Dahiya, Vanita Verma Capacitated two-stage time minimization transportation problem, Asia Pacific Journal of Operational Research, 27(4), 457-476, 2010. [SCI Impact Factor 1.070]
  15. Vikas Sharma, Kalpana Dahiya, Vanita Verma, A note on a two-stage interval time minimization transportation problem, ASOR Bulletin, 27(3), 12-18, 2008.

Thesis Supervision

Ph.D. Thesis

  1. Prerna, Multi-objective integer programming problems (ongoing).
  2. Sonali Sethi, Some aspects of duality in mathematical programming problems (Completed).

M.Sc. Thesis

  1. Shilpa, A modi_ed algorithm for a fixed charge bicriterion transportation problem with restricted ow completion time, 2011 (With Dr. Mahesh Sharma)
  2. Neha Garg, A study of linear and linear fractional extreme point programming problems, 2012 (With Dr. Geeta Kumari)
  3. Resham Kaur, Some variants of transportation problem, 2012. (With Dr. Geeta Kumari).
  4. Nisha, A study of two stage transportation problems, 2013.
  5. Tania Devgun, Some aspects of bilevel programming, 2013.
  6. Guneet Khurana, Methods for solving fully fuzzy linear programming problem, 2014.
  7. Sonali, Duality for minimax fractional programming problems, 2015 (with Dr. Navdeep Kailey).
  8. Madhu Symmetric and non-symmetric duality in multi-objective programming problems.2015 (with Dr. Navdeep Kailey).
  9. Shivani Saini, A study of variable ordering structures, 2016.
  10. Navjot Kaur, Study of stability for properly quasi-convex vector optimization problems,2017.
  11. Bharti Bedi, Duality for non-differentiable minimax fractional programming problems, 2017.
  12. Twinkle Khanna, Multicriteria integer programming problems, 2018.
  13. Anshu Chopra, A study of Supervised Classification approach using support vector machines 2019.
  14. Tannu Garg, Numerical techniques for solving linear complementarity problems 2022.
  15. Divya Khurana, Techniques for solving bi-level programming problem 2022.

Invited Talks

  1. Transportation and travelling salesman problem on February 13, 2018 at NITTTR, Chandigarh.
  2. Integer programming and its Applications on November 20, 2018 at Govt. Mohindra College, Patiala.
  3. Transportation and Assignment Problems on a Short term program on "Mathematical programming problems" held at TIET Patiala from Feb. 18-22, 2019.
  4. Some solution concepts in multi-objective optimization at one-day work shop on Applied mathematics held at Jammu University, Jammu on May 30, 2019.
  5. Transportation problem and its variants on April 27, 2022 at Govt. Mohindra College, Patiala.
  6.  

Conferences and Workshops Organized

  1. Organized workshop on International derivatives on February 5, 2020, in collaboration with Futures First Academy.
  2. Organized a free two-day certificate course on derivatives and Global finance in collaboration with Futures First Academy on Feb 6-7, 2020.
  3. Core committee member of the annual science fest (SCI FEST -2019, 2020) collectively organised by schools of basic sciences at TIET campus.

Other Responsibilities

  1. Member of Senate of TIET from April 2022 to December 2023.
  2. Program coordinator of NSS Unit-11 at TIET.
  3. Vice president of the Fine arts and Photography society(FAPS) at TIET.
  4. ISO coordinator from the School of Mathematics from January 2023 onwards.
  5. Worked as Placement coordinator of SOM from 2018 to 2023.
  6. Worked as Alumni relations coordinator of SOM from 2018 to 2021.

Training programs attended

  1. Successfully Completed CAPSL and ADVANCED CAPSL program offered by Trinity College, Dublin in the year 2020.
  2. Successfully Completed certificate program in Global Financial market from August 31 to September 25, 2020 offered by Futures First Academy.
  3. Successfully Completed Summer Faculty Research Program at IIT Delhi, from June 8, 2022 to July 23, 2023.

Achievement, Awards and Recognitions

  • Awarded Hans Raj Gupta memorial scholarship from the Department of Mathematics in the year 2000.
  • Qualified the Joint CSIR - UGC Junior Research Fellowship in June 2005 in the subject of Mathematical Sciences.
  • Qualified GATE - 2005 with 85.26 percentile.
  • Worked as Junior Research Fellow (UGC) from Feb 10, 2006 to Feb 9, 2008 in the Department of Mathematics, Panjab University, Chandigarh.
  • Worked as Senior Research Fellow (UGC) from Feb 10, 2008 to June 3, 2009 in the Department of Mathematics, Panjab University, Chandigarh.
  • Invited twice to work as tutor in the Mathematical Talent Search Programme (MTTS) sponsored by National Board of Higher Mathematics (NBHM) held in the department of mathematics, Panjab University, Chandigarh.

Member of learned bodies

  • Life member of Operational Research Society of India.
  • Member of International Working Group of Generalized Convexity.
  • Reviewer for American Mathematical Society.

Message to Students & Community

Stay positive, work hard, and success will be knocking on your door

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