🔬 Academic Research

Research Overview

My research bridges pure mathematics and real-world decision problems — developing intelligent inventory and supply chain models powered by nature-inspired optimization algorithms.

9+Publications
6+Algorithms Used
4+Research Areas
3Active Projects
2021–NowActive Years
Core Research Areas

Inventory Control

Development of mathematical models for deteriorating items incorporating pricing policies, preservation investment, advance payments, and memory-sensitive demand under real-world constraints.

Supply Chain Management

Optimization of integrated production-distribution systems using mathematical modeling, fractional calculus, and computational intelligence for complex multi-echelon supply chains.

Sustainability

Integration of environmental and economic sustainability into supply chain models — minimizing carbon footprint while maximizing profit through green inventory optimization strategies.

Imperfect Production

Modeling realistic manufacturing environments with defective items, rework processes, inspection policies, and random quality variations to minimize total production-inventory costs.

Nature-Inspired Algorithms

Optimization techniques applied in research:

Differential Evolution (DE) Bat Algorithm (BA) Hybrid Optimization Methods Nature-Inspired Heuristics Fractional Calculus Models Metaheuristic Techniques
Computational Tools
Python
MATLAB / Scilab
LaTeX
Manim
Data Analysis
Optimization
Research Projects
Active

Inventory Optimization for Deteriorating Items

Developing mathematical models for deteriorating items in supply chain systems incorporating pricing policies, preservation investment, and metaheuristic optimization techniques.

Inventory Control Differential Evolution Deteriorating Items
Active

Sustainable Supply Chain Models

Building integrated supply chain models that balance economic profit with environmental sustainability — incorporating carbon emission constraints and green investment policies.

Supply Chain Sustainability Green Inventory
Ongoing

Metaheuristic Algorithm Development

Designing and testing hybrid metaheuristic algorithms — combining Differential Evolution and Bat Algorithm — to solve complex nonlinear inventory optimization problems.

Bat Algorithm Hybrid Methods Nonlinear Optimization
Planned

Fractional Calculus in Supply Chains

Applying fractional calculus to model memory-sensitive demand patterns and anomalous diffusion in supply chain dynamics — extending classical EOQ models to fractional orders.

Fractional Calculus Memory Effects EOQ Models

Open to Research Collaboration

Interested in joint research on inventory optimization, supply chain modeling, or metaheuristic applications? Feel free to reach out.

Get in Touch

📚 Publications

Peer-reviewed journal articles and book chapters in Operations Research, Inventory Control & Supply Chain Optimization.

9
Total Publications
7
Journal Articles
1
Book Chapter
2025
Latest Year
📰 Journal Articles
01  ·  2025
Intelligent Optimization and Inventory Control of Deteriorating Items: An Overview
Singh P. and Jain M.
Knowledge and Information Systems (2025)
DOI: 10.1007/s10115-025-02481-8
02  ·  2025
Effects of Memory on Inventory Control and Pricing Policy for Imperfect Production with Rework Process
Jain M., Indoria H., Chaudhary A. and Singh P.
RAIRO – Operations Research, 59, 77–99 (2025)
DOI: 10.1051/ro/2024215
03  ·  2025
A Fractional-Order Sustainable Lot-Sizing Model for Degrading Items with Stock and Price Sensitive Demand using Metaheuristics
Singh P. and Jain M.
International Journal of Mathematics in Operational Research (2025)
DOI: 10.1504/IJMOR.2025.10071935
04  ·  2025
Metaheuristics for Inventory Control Policies with Random Deterioration Start, Preservation Investment and Prepayment
Singh P. and Jain M.
Arabian Journal for Science and Engineering, 50, 11195–11217 (2025)
DOI: 10.1007/s13369-024-09444-1
05  ·  2024
Inventory Policy for Degrading Items under Advanced Payment with Price and Memory Sensitive Demand using Metaheuristic Techniques
Singh P. and Jain M.
Operational Research, 24, 43 (2024)
DOI: 10.1007/s12351-024-00848-3
06  ·  2024
Pricing, Prepayment and Preservation Strategy for Inventory Model with Deterioration using Metaheuristic Algorithms
Jain M. and Singh P.
Soft Computing, 28, 3415–3430 (2024)
DOI: 10.1007/s00500-023-08637-4
07  ·  2023
Sustainable Inventory Prediction with Random Defect and Rework using Bat Algorithm
Jain M., Sharma N. and Singh P.
RAIRO – Operations Research, 57, 481–501 (2023)
DOI: 10.1051/ro/2023011
08  ·  2022
Optimal Inspection and Advance Payment Policy for Deteriorating Items Using Differential Evolution Metaheuristic
Jain M. and Singh P.
Applied Soft Computing, 128, 109475 (2022)
DOI: 10.1016/j.asoc.2022.109475
📖 Book Chapters
09  ·  2022
Nature-Inspired Optimization for Inventory Models with Imperfect Production
Singh N., Jain M. and Singh P.
Data Analytics and Artificial Intelligence for Inventory and Supply Chain Management – Inventory Optimization, Springer, Singapore, pp. 23–44 (2022)
DOI: 10.1007/978-981-19-6337-7_2