Applying mathematical modelling, optimisation and data-driven methods to solve contemporary industrial and societal challenges.
Dr. Mukherjee's research is grounded in the conviction that rigorous mathematical modelling can transform how industries manage inventory, move goods and reduce their environmental footprint.
Her doctoral thesis — “Mathematical Modelling on Cross-docking services in Inventory management” — established a foundation for optimising the flow of goods within finite-capacity cross-docks, work that has since extended into carbon policies, reverse logistics and data-driven prediction.
“Mathematical Modelling on Cross-docking Services in Inventory Management” — Banasthali Vidyapith, India (2024). Published across Q1 and Q3 SJR journals and Scopus-indexed journals.
Six interconnected areas where mathematical rigour meets real-world application.
Constructive linear-programming methods for labour scheduling, resource allocation and cost-optimised decision-making under constraints.
Modelling maximum goods flow through finite-capacity cross-docks using Ford–Fulkerson, Edmonds–Karp and Dinic's algorithms to minimise waiting time and bottlenecks.
Estimating pallet distribution, machine utilisation and picking time to optimise space and labour within warehouses and cross-dock operations.
Carbon-aware reverse cross-docking and green technology investment to reduce emissions in fast-fashion supply chains and road transport.
SPSS-driven correlation, regression and hypothesis testing — from COVID-19 prediction models to social-behaviour and public-service satisfaction studies.
Transformer-based continual learning (BERT, RoBERTa, DistilBERT) for lifelong task-incremental learning in NLP.
Interested in supervision, collaboration or an academic consultation? Get in touch to discuss how data-driven mathematics can support your goals.