Geetanjali Panda

Welcome to Dr. Geetanjali Panda's Home Page

Dr. Geetanjali Panda

Associate Professor

Dept. of Mathematics

Indian Institute of Technology Kharagpur

West Bengal, India - 721302.

Office Tel - (+91)-3222 83680

Fax -

Email Address - geetanjali@maths.iitkgp.ernet.in

Courses Taught:

1. Math-I

2. Math-II

3. Approximation Theory

4. Transform Calculus

5. Matrix Algebra

6. Linear Algebra

7. Optimization Technique

8. Optimization Methods in Finance

9. Multi-objective Programming

Current Semester Courses:

1. Nonlinear Programming
Assignments

2. OR-Lab
Assignments

My Research Interests:

1. My primary research interests have been theoretical aspects of optimization

2. My current research is focused on

1. Convex Optimization

2. Optimization with uncertainty

3. Optimization in finance

4. Numerical Optimization algorithms

My On-going Research Projects:

1. Descent line search algorithms with Hessian modification

2. Numerical approximation techniques for vector optimization problems

3. Descent line search algorithms for interval optimization problems

Ph. D. Thesis Supervised:

1. Chi-Optimal Solutions of Nonlinear Programming Problems with Bounded Parameters by Mrinal Jana-2016

2. Interval Optimization Method for Portfolio Selection Problem by Pankaj Kumar-2015

3. Efficient Solutions of Nonlinear Optimization Problems with interval Parameters by Ajay Kumar Bhurjee.-2014

4. Duality Results for Crisp and Fuzzy Optimization Problems with Generalized E-Convexity by Sangeeta Jaiswal-2010

5. Deterministic Equivalent of Chance Constrained Programming Problems by Jayant Kumar Dash-2008

6. Some Contributions to Fuzzy Set Theory and its Applications by Motilal Panigrahi-2006

7. Some Contributions to the Probabilistic Inventory models by Salma Khan-2006

8. Joint Economic Lot Size Models for one Vendor Multi Customer Situation by D.A.Khan-2003

9. Some Optimization Models and Applications to mathematical Programming in Decision Making by K.D.Senapati-2002

My Publication List:

1. Two-phase-SQP Method with higher-order convergence property, Chakraborty, Suvra Kanti, and Geetanjali Panda, Journal of the Operations Research Society of China 4.3 (2016): 385-396.

2. Newton like line search method using q-calculus, Chakraborty,Suvra Kanti, and Geetanjali Panda. Communication in Computer and Information Science (Springer). (Accepted).

3. q-line search scheme for optimization problem, Chakraborty,Suvra Kanti, and Geetanjali Panda. Proceedings of International Conference of Computational Physics, Mathematics and it's Application, Tokyo, Japan. Nov, 2016.

4. A Higher Order Iterative Algorithm for Multivariate Optimization problem by Suvrakanti Chakraborty and G.Panda, Journal of Applied Mathematics and Informatics, 2014 ,Vol. 32, No. 5 - 6, pp. 747 -760.

5. Golden section search over hyper-rectangle: a direct search method, Suvra Chakraborty, Geetanjali Panda, International Journal of Mathematics and Operations Research,8.3(2016):279-292.

6. Compromising solution of geometric programming problem with bounded parameters. Jana, Mrinal & Panda, Geetanjali. Journal of Operations Research Society of China. DOI:10.1007/s40305-016-0145-z

7. Existence of Chi-efficient solution of Multi-objective Fractional Programming Problem with Bounded Parameters, Jana, Mrinal and Geetanjali Panda International Transactions in Operational Research, doi:10.1111/itor.12260 (2016).

8. Jana, Mrinal & Panda, Geetanjali. Existence of χ-optimal solution of fractional programming problem with interval parameters. Journal of Computer Science and Computational Mathematics 5(2015): 27-32.

9. LR-optimal solution of nonlinear optimization problem with varying parameters, Jana, Mrinal and Geetanjali Panda , International Journal of Operational research(2015) in press.

10.Multi-objective Geometric programming with varying parameters: Application in wastewater treatment system by M.Jana,G.Panda, Mathematical Modelling and Analysis. Vol 20, No 5, pp 583-603 (2015).

11.Solution of nonlinear interval vector optimization problem by Mrinal Jana and G.Panda, Operational Research , Vol 14, pp 71-85, ( 2014).

12.Solution of Nonlinear Fractional Programming Problem with Bounded Parameters, Jana, Mrinal and Geetanjali Panda, Proceedings of the 4th International Conference on Computer Science and Computational Mathematics (ICCSCM 2015), Langkawi, Malaysia.

13.Efficient Portfolio for Interval Sharpe Ratio Model, Jana, Mrinal, Pankaj Kumar, and Geetanjali Panda, Mathematics and Computing. Springer India, 2015. 59-77, Book Chapter.

14.Solving nonlinear interval optimization problem using stochastic programming technique, G.Panda, P.Kumar, OPSEARCH, (2017). doi:10.1007/s12597-017-0304-y.

15.Optimal range of Sharpe ratio of a portfolio optimization model with interval parameters by G.Panda, P.Kumar, A.K.Bhurjee, Journal of Information and Optimization Sciences, 2015 Vol 36, No 4 , pp. 367-384.

16.Portfolio rebalancing model with transaction costs using interval analysis by G. Panda, P. Kumar, U. C. Gupta, Opsearch. Vol 52 No 4,pp 827-860, (2015)

17.An interval linear programming approach for portfolio selection model by P.Kumar, G. Panda, U.C .Gupta, International Journal of Operations Research, 27(1/2)149-164,2016

18.Generalized quadratic programming problem with interval uncertainty, P Kumar, G.Panda. (FUZZ), 2013 IEEE International Conference on, vol., no., pp.1-7, 2013. doi: 10.1109/FUZZ-IEEE.2013.6622375.

19.New Higher Order Root Finding Algorithm using Interval Analysis, G.Panda, Md.A T Ansary, Reliable Computing. Vol 21 pp 11-24 ( 2015).

20.A modified Quasi Newton method for vector optimization problem, Md. A. Ansari, G.Panda, Optimization. Vol 64, No 11, pp 2289-2306, (2015).

21.Minimizing a Function Using a Sequence of Interval Vectors, G Panda, Md A T Ansary , Proceedings of the World Congress on Engineering 2012, Vol I WCE 2012, July 4 - 6, 2012, London, U.K.

22.Optimal Strategies for two person Normalized Matrix Game with Variable Payoffs, A. K. Bhurjee and G. Panda, Operational Research: An International Journal, 2016. (Accepted)

23.Multi-objective Interval Fractional Programming Problems : An Approach for Obtaining Efficient Solutions by A. K. Bhurjee and G. Panda Opsearch, 52(1) pp 156-167 -2015.

24.Sufficient optimality conditions and duality theory for interval optimization problem by A. K. Bhurjee and G. Panda, Annals of operations research, 2014.DOI 10.1007/s10479-014-1644-0

25.Parametric Multi-objective Fractional Programming Problem with Interval, A. K. Bhurjee, G. Panda, International Journal of Operational Research, 2016 (In press).

26.Multi-objective Optimization Problem with Bounded Parameters by A. K. Bhurjee, G.Panda, Rairo-operations research-Cambridge Journals, 48(4), pp 545 - 558 -2014.

27.Efficient solution of interval optimization problem by A. Bhurjee, G. Panda Mathematical Methods of Operations Research, (2012), Vol- 76 pp: 273-28.

28.Nonlinear fractional programming problem with inexact parameters by A.K.Bhurjee and G.Panda, Journal of Applied Mathematics and informatics, (2013),vol 31 no5-6,pp853-867.

29.A. K. Bhurjee, G. Panda : Chapter 12 - Fractional Programming Problem with Bounded Parameters, Mathematics and Computing 2013 (International Conference in Haldia, India), in Springer Proceedings in Mathematics & Statistics Vol. 91, pp. 191-199, (2014).

30.G.Panda and A. K. Bhurjee, Efficient Solution of Interval Valued Quadratic Programming Problem, In Proceeding 11th Cologne-Twente Workshop (CTW) on Graphs and Combinatorial Optimization (2012), pp. 201-204.

31.Nonlinear fuzzy chance constrained programming problem by G.Panda and Jayant Kumar Dash, Opsearch ,Volume 51, Issue 2, pp 270-279 (2014).

32.A derivative free multidimensional optimal search method using Lucas number by G.Panda, S.Ghosh Applied Mathematics and Computation, Volume 219, pp 6536-6541(2013).

33.Generalized ideals with triangular norm by G.Panda, S.Nanda, M.Panigrahi Journal of Advanced Mathematical Studies,(2013), Vol. 6, No. 1, 116-126.

34.Generalized Differentiable E invex functions and Their Applications in Optimization by S Jaiswal, G.Panda Advances in Operations Research, Volume 2012 Article Id 175176.

35.Minimizing a function using posynomial approximation by G.Panda, J.Math.Computational Science, (2012), 2 No-4,1073-1077.

36.Some Duality Results for Fuzzy Nonlinear Programming Problem by G.Panda,S.Jaiswal Journal of Fuzzy Set Valued Analysis, Volume 2012, Year 2012 Article ID jfsva-00112.

37.Nonlinear Lagrange Dual for Multiobjective Programming problems by G.Panda, Applied Mathematical Sciences, vol5,2011,No 42,2085-2089.

38.Duality results using higher order generalized E- Invex function by G. Panda, S.Jaiswal Int Journal of computing science and mathematics, (2010),3(3)288-298

39.Lagrangian dual of fuzzy nonlinear programming problems and some duality results by G Panda, S Jaiswal The Journal of Fuzzy Mathematics, (2010),18-(2), 263-273

40.Chance Constrained Programming Problem under different Fuzzy Distributions by J K Dash, G Panda, S.Nanda Int Journal of Optimization Theory Methods and Applications, (2010)1(1)58-71.

41.Lagrange,Fenchel,Fenchel-Lagrange duality results for E-Convex programming problem by G.Panda, S.Jaiswal Orissa Mathematical Society,(2008) Vol 27 pp 169-176.

42.Generalized Fractional 0-1 Programming with Fuzzy Parameter in the Objective Function by J K Dash, G Panda S.Nanda Journal of Fuzzy Mathematics, (2008),15(4) 957-964.

43.Chance constrained programming with fuzzy inequality constraint by G.Panda, J.K.Dash, S.Nanda Opsearch,(2008), vol 45, No-1

44.Existence of Solution of an Optimal Inventory Equation with Unbounded Time Period by G.Panda International Mathematical Forum, (2008),3-43, 2149 - 2154.

45.Multistage allocation process in inventory control programming by G.Panda Fuzzy Logic and Optimization, Narosa 2006 pp 62-77.

46.Solution of dynamic programming model Using Caratheodory successive approximation method by G.Panda International Journal of Mathematical Analysis,(2008),Vol-2(9),425-431.

47.Convex fuzzy mapping with di_erentiability and its application in fuzzy optimization by M.Panigrahi, G.Panda,S.Nanda European Journal of Operations Research,(2008), vol 185, 47-62 .

48.A new methodology for crisp equivalent of fuzzy chance constrained programming problem by S.Nanda,G.Panda, J.K.Dash Fuzzy Optimization and Decision Making, (2008),vol 7, 59-74.

49.A JELS Probabilistic Inventory Model with Random Demands having Truncated Normal Distribution in a one Vendor one Customer Situation by D A Khan, U C Ray,G Panda, Modelling Measurement and Control D, (2007)28(1)77-90.

50.Generalized Fractional 0-1 Programming by J.K.Dash,G.Panda,S.Nanda, The Journal Of Fuzzy Mathematics, ,(2006)14,No-3 649-653.

51.A JELS Stochastic Inventory Model With Random Demand by G.Panda, D.A.Khan,U.C.Ray, Stochastic Programming E Print Series, (2006)No 11 .

52.Existence of Solution for the functional equations in Dynamic Programming by G.Panda, AMSE-Modeling Advances -A, (2006),43(1)1-15.

53.A New Solution Method for Fuzzy Chance Constrained Programming Problem by S Nanda, G.Panda, J K Dash Fuzzy Optimization and Decision Making, (2006),5(4)355-370.

54.Equivalence class in the set of fuzzy numbers and its application in decision making problems by G.Panda, S.Nanda, M.Panigrahi International Journal of Mathematics and Mathematical Sciences, (2006), Article Id 74165 pp 1-19.

55.Solution of a functional equation arising in continuous games, a dynamic programming appproach by G Panda and K D Senapati, SIAM journal of control and optimization,41(3)2002,pp820-825.

56.A JELS Model under different demand rates in different cycles, G.Panda, D A Khan, U C Roy, Modelling Measurement and Control D, 2001 vol 22(3), pp 47-55.

57.Dynamic programming models with goal objectives under a pre-emptive priority structure in a deterministic transportation problem by G.Panda, N N Nayak, Advances in modelling and analysis-A, 1993 vol 15(2), 51-63.

58.Some existence theorems for functional equations in two person zero sum multistage games,G.Panda, N N Nayak, Advances in modelling and analysis-A, 1993 vol 15(2), 33-44.

59.Some Existence Theorems for Functional Equations in Dynamic Programming by N N Nayak and G.Panda, Advances in Modelling and Analysis, A,AMSE Press, 1993, Vol.14,No 4 pp 1-10.

Masters Thesis Supervised: List

Short Term Courses Organized:

ISWT-2014
Organized International Summer Course on Portfolio Optimization, Course Code-IST0103, from 19/05/2014 to 30/05/2014 at IIT Kharagpur.

Course Material

Knowledge Dissemination Program- 2015
Organized Knowledge Dissemination program on Gradient Based Numerical Optimization Algorithms From 07/12/2015 to 11/12/2015.