Welcome to the Stochastic Modelling Research Group (SMRG) at the Central University of Kerala. Our mission is to advance the frontiers of stochastic modelling to improve system reliability and resilience while tackling complex decision-making challenges in Service Systems including telecommunication and healthcare systems. Our research primarily focuses on reliability enhancement and game-theoretic analysis within the domain of stochastic modelling and analysis of queueing-inventory systems. We also focus on stochastic games in queues and telecommunications networks and their applications. 

The study of k-out-of-n system reliability is vital both theoretically and practically. It opens up new mathematical methods and has widespread applications in telecommunications, healthcare, transportation, and services. These models guide optimal strategies for high system reliability in real-world scenarios. Despite the existence of a well-developed theory for k-out-of-n repairable systems, the field remains under-explored, prompting researchers to develop models that account for various system nuances. Therefore, our research aims to maximise reliability in k-out-of-n configurations, which is crucial for applications like traffic signals, defence, satellite launches, and orbital communications. 

Our other innovative approach seeks to unravel the intricacies of stochastic models, integrating advanced mathematical and analytical tools to optimise the cost in service systems and improve operational efficiency. By leveraging game theory, we tackle intricate decision-making scenarios that arise in customer/servers' dynamic, rational behaviour in queues and integrated queueing-inventory systems.

Join us as we push the boundaries of mathematical theory and practical applications to deliver groundbreaking insights and solutions for real-world challenges.

Prospective Post-Doctoral Candidates: 

I seek prospective post-doctoral candidates, especially those holding NBHM-PDF, N-PDF, or other postdoc fellowships. I encourage them to discuss their research proposals with me before submitting their applications. My primary interest lies in proposals focused on Stochastic Modelling and its Analysis in Queues, Reliability, and Storage Systems, as well as Stochastic Games in Queues and Telecommunications Networks and Applications. 

Please feel free to contact me to discuss your research ideas and proposals. I look forward to engaging in productive discussions and potentially collaborating on innovative research.

Interested candidates can send in their details to my e-mail: mani@cukerala.ac.in 

M.Sc Project Supervision:

    Supervised 46 master’s projects in the Department of Mathematics at the Central University of Kerala since 2015. 

Internship Students:

• Abhay Sobhanan- 2016 (Mr Abhay was an internship student (BS-MS) from NIT Agartala. He is currently doing PhD at the Department of Industrial and Management Systems at the University of South Florida, USA).
  
  

• Parvathi A -2019 (She was an internship student (BS-MS) from SVNIT, Surat. She is currently working as a Management Consulting Analyst after obtaining an MBA degree from IIM Bangalore).
  
  

• Savad K. P. - 2023 (He was an alumnus of our M.Sc batch 2020-22 and did an internship (SERB) with me. He is currently doing PhD in Industrial Engineering and Operations Research at IIT Bombay).