Teaching and Research


Research Areas
  • Shop Scheduling Problems
  • Just-in-Time Production Systems
  • Network Optimization
  • Evacuation Optimization
  • Vehicle Routine Problems
  • Combinatorial  Optimization
  • Integer Programming
  • Scheduling Theory 
  • Graph Theory
  • Algorithms and Complexity
  • Multiobjective  Optimization 
  • Location Analysis 

Other Interests   
  • Linear, Integer and Nonlinear Programming, Optimization Techniques of OR, Computational Mathematics, Disaster Management Models. 
  • Mathematical Modeling and Numerical Mathematics of Real-Life Problems in Engineering, Computer Science, Information Technology and Management Sciences.

PhD Thesis Evaluation
  1.  Improvement of algorithm in the particle tracking velocimetry. Department of Electronics and Computer Engineering, IOE, TU (May 2007).
  2.  Color correction algorithm  for  reproducing  spot  colors.  Department  of  Electronics  and  Computer Engineering, IOE, TU (December 2007).
  3. A study on inventory management system. Department of Mathematics. Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University (SOAU) (July 2016).
  4. Deterministic equivalent of multi-objective fuzzy chance constrained programming problem. SOAU, (July 2017). 
  5. Development of robust invisible watermarking algorithm using slant transform. Department of Electronics and Computer Engineering, IOE, TU  (April 2018).
  6. EOQ models for imperfect quality items with varying demand and allowable proportionate discount in fuzzy environment. SOAU (April 2018).
  7.  A study on fuzzy dynamic programming techniques in optimization problems. P.G. $\& $  Research Department of Mathematics, Chennai Bharathiar University, Coimbatore, Tamilnadu, India (August 2019).
  8.  Mathematical modeling of markovian queueing models and their applications. Department of Applied Science and Chemical Engineering, IOE, TU (October 2020).
  9.  Fuzzy stochastic calculus and it's applications in financial problems. Department of Mathematics, Institute of Technical Education and Research, SOAU (April 2023).
  10.   On signed Cayley and common-edge graphs with applications in encryption and decryption. Department of Mathematics, Faculty of Mathematics \& Computer Science, SAU (September 27 2023).
  11.  Maximal Index and Related Structural Problems of Signed Graphs. Department of Mathematics, Faculty of Mathematics \& Computer Science, SAU (September, 2025).
     
Teaching History 
  • Masters Degree: Multiobjective  Optimization, Graph Theory, Network Optimization, Scheduling Theory and Algorithms, Combinatorial Optimization, Linear, Integer and Nonlinear Programming, Numerical Analysis, Mechanics and Hydrodynamics, Modern and Linear Algebra, Discrete Mathematics, Mathematical Analysis.
  • Undergraduate: Numerical Methods, Linear and Abstract Algebra, Mathematical Analysis, Differential and Integral Calculus, Differential Equations.