RESEARCH UNIVERSE
Formulating mathematical models, optimization algorithms, and geospatial systems to tackle complex logistics and humanitarian emergencies.
Transportation Modelling & Disaster Resilience
At the Centre for Multidisciplinary Research, Tezpur University, supervised by Dr. Bijoy Krishna Debnath, my current doctoral research develops mathematical models for transportation problems using multi-objective optimization techniques and Geospatial technologies.
During acute flood disruptions across the Brahmaputra valley and riverine terrain, traditional transit networks fail. By synthesizing remote sensing flood inundation maps with graph-theoretic algorithms, our models optimize emergency relief supply distribution and evacuation routing in dynamic high-uncertainty conditions.
Interconnected Domains
Drag in 3D to rotate the network. Click any orbital node to inspect its mathematical focus.
The foundational bedrock of logical rigor, abstract models, and quantitative reasoning from which all our scientific inquiry emerges.
Research Methodology
The systematic 6-stage transformation from empirical observation to real-world deployment.
REAL-WORLD PROBLEM
Identifying logistical vulnerabilities, transportation bottlenecks, flood inundation risks, and carbon emissions.
MATHEMATICAL MODEL
Formulating governing objective functions, network graph representations, and operational constraints.
OPTIMIZATION
Developing multi-objective heuristics, linear and integer programming models, and Pareto-optimal exploration.
COMPUTATIONAL METHODS
Algorithmic numerical simulation, sensitivity benchmarks, and stress testing against synthetic and empirical datasets.
DECISION SUPPORT
Translating complex mathematical outputs into intuitive spatial dashboards for emergency response managers.
REAL-WORLD IMPACT
Humanitarian aid mobilization, saving lives during environmental disasters, and decarbonizing supply chains.
Research Domains
Mathematical Modeling
Formulating deterministic and stochastic mathematical formulations to describe real-world physical, logistical, and historical systems.
Optimization
Exact and heuristic algorithmic approaches for optimal resource allocation, shortest path determination, and constraint satisfaction.
Supply Chain & Logistics
Net-zero freight strategies, route optimization, vehicle routing problems (VRP), and multi-echelon network design.
Disaster Management
Emergency evacuation routing, relief supplies dispatch, and algorithmic coordination during acute flood disasters.
GIS & Remote Sensing
Superimposing satellite topographic data and hydrodynamic inundation layers onto graph-theoretic road networks.
Graph Theory & AI Ethics
Discrete network topologies, algorithmic bias elimination, and protecting fundamental human rights in automated disaster response.